Please wait...

Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Electron beam used in an electron microscope, when accelerated by a voltage of 20‌kV. has a de-Broglie wavelength of λo. If the voltage is increased to 40‌kV. then the de-Broglie wavelength associated with the electron beam would be:
[25-Jan-2023 Shift 1]
Electron beam used in an electron microscope, when accelerated by a voltage of 20‌kV. has a de-Broglie wavelength of λo. If the voltage is increased to 40‌kV. then the de-Broglie wavelength associated with the electron beam would be:
[25-Jan-2023 Shift 1]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
An object of mass 8‌kg is hanging from one end of a uniform rod CD of mass 2‌kg and length 1m pivoted at its end C on a vertical wall as shown in figure. It is supported by a cable AB such that the system is in equilibrium. The tension in the cable is :
(Take g=10m∕ s2 )
[25-Jan-2023 Shift 1]
An object of mass 8‌kg is hanging from one end of a uniform rod CD of mass 2‌kg and length 1m pivoted at its end C on a vertical wall as shown in figure. It is supported by a cable AB such that the system is in equilibrium. The tension in the cable is :
(Take g=10m∕ s2 )
[25-Jan-2023 Shift 1]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
A Carnot engine with efficiency 50% takes heat from a source at 600K. In order to increase the efficiency to 70%, keeping the temperature of sink same, the new temperature of the source will be :
[25-Jan-2023 Shift 1]
A Carnot engine with efficiency 50% takes heat from a source at 600K. In order to increase the efficiency to 70%, keeping the temperature of sink same, the new temperature of the source will be :
[25-Jan-2023 Shift 1]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
T is the time period of simple pendulum on the earth's surface. Its time period becomes x T when taken to a height R (equal to earth's radius) above the earth's surface. Then, the value of x will be:
[25-Jan-2023 Shift 1]
T is the time period of simple pendulum on the earth's surface. Its time period becomes x T when taken to a height R (equal to earth's radius) above the earth's surface. Then, the value of x will be:
[25-Jan-2023 Shift 1]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth. It is found that when a particle is released in this tunnel, it executes a simple harmonic motion. The mass of the particle is 100g. The time period of the motion of the particle will be (approximately)
(take g=10ms−2,radius of earth =6400‌km )
[25-Jan-2023 Shift 1]
Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth. It is found that when a particle is released in this tunnel, it executes a simple harmonic motion. The mass of the particle is 100g. The time period of the motion of the particle will be (approximately)
(take g=10ms−2,radius of earth =6400‌km )
[25-Jan-2023 Shift 1]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
A car travels a distance of ' x ' with speed V1 and then same distance ' x ' with speed V2 in the same direction. The average speed of the car is:
[25-Jan-2023 Shift 1]
A car travels a distance of ' x ' with speed V1 and then same distance ' x ' with speed V2 in the same direction. The average speed of the car is:
[25-Jan-2023 Shift 1]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
A parallel plate capacitor has plate area 40cm2 and plates separation 2‌mm. The space between the plates is filled with a dielectric medium of a thickness 1‌mm and dielectric constant 5 . The capacitance of the system is :
[25-Jan-2023 Shift 1]
A parallel plate capacitor has plate area 40cm2 and plates separation 2‌mm. The space between the plates is filled with a dielectric medium of a thickness 1‌mm and dielectric constant 5 . The capacitance of the system is :
[25-Jan-2023 Shift 1]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The root mean square velocity of molecules of gas is
[25-Jan-2023 Shift 1]
The root mean square velocity of molecules of gas is
[25-Jan-2023 Shift 1]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Match List I with List II

Choose the correct answer from the options given below :
[25-Jan-2023 Shift 1]
Match List I with List II

Choose the correct answer from the options given below :
[25-Jan-2023 Shift 1]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes x times its initial resonant frequency ω0. The value of x is:
[25-Jan-2023 Shift 1]
In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes x times its initial resonant frequency ω0. The value of x is:
[25-Jan-2023 Shift 1]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The ratio of the density of oxygen nucleus (‌816O) and helium nucleus (‌24‌He) is
[25-Jan-2023 Shift 1]
The ratio of the density of oxygen nucleus (‌816O) and helium nucleus (‌24‌He) is
[25-Jan-2023 Shift 1]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
A message signal of frequency 5‌kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude modulation is:
[25-Jan-2023 Shift 1]
A message signal of frequency 5‌kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude modulation is:
[25-Jan-2023 Shift 1]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
All electromagnetic wave is transporting energy in the negative z direction. At a certain point and certain time the direction of electric field of the wave is along positive y direction. What will be the direction of the magnetic field of the wave at that point and instant?
[25-Jan-2023 Shift 1]
All electromagnetic wave is transporting energy in the negative z direction. At a certain point and certain time the direction of electric field of the wave is along positive y direction. What will be the direction of the magnetic field of the wave at that point and instant?
[25-Jan-2023 Shift 1]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
In Young's double slits experiment, the position of 5‌th ‌ bright fringe from the central maximum is 5‌cm. The distance between slits and screen is 1m and wavelength of used monochromatic light is 600‌nm. The separation between the slits is:
[25-Jan-2023 Shift 1]
In Young's double slits experiment, the position of 5‌th ‌ bright fringe from the central maximum is 5‌cm. The distance between slits and screen is 1m and wavelength of used monochromatic light is 600‌nm. The separation between the slits is:
[25-Jan-2023 Shift 1]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Math List I with List II

Choose the correct answer from the option given below:
[25-Jan-2023 Shift 1]
Math List I with List II

Choose the correct answer from the option given below:
[25-Jan-2023 Shift 1]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R
Assertion A: Photodiodes are used in forward bias usually for measuring the light intensity.
Reason R: For a p-n junction diode, at applied voltage V the current in the forward bias is more than the current in the reverse bias for |Vz
‌
‌
|>±V≥|V0
‌
‌
| where Vo is the threshold voltage and Vz is the breakdown voltage.
In the light of the above statements, choose the correct answer from the options given below
[25-Jan-2023 Shift 1]
Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R
Assertion A: Photodiodes are used in forward bias usually for measuring the light intensity.
Reason R: For a p-n junction diode, at applied voltage V the current in the forward bias is more than the current in the reverse bias for |Vz
‌
‌
|>±V≥|V0
‌
‌
| where Vo is the threshold voltage and Vz is the breakdown voltage.
In the light of the above statements, choose the correct answer from the options given below
[25-Jan-2023 Shift 1]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2m long and 0.2m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is:
[25-Jan-2023 Shift 1]
A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2m long and 0.2m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is:
[25-Jan-2023 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A uniform metallic wire carries a current 2A. when 3.4V battery is connected across it. The mass of uniform metallic wire is 8.92×10−3‌kg. density is 8.92×103‌kg∕m3 and resistivity is 1.7×10−8Ω−m. The length of wire is :
[25-Jan-2023 Shift 1]
A uniform metallic wire carries a current 2A. when 3.4V battery is connected across it. The mass of uniform metallic wire is 8.92×10−3‌kg. density is 8.92×103‌kg∕m3 and resistivity is 1.7×10−8Ω−m. The length of wire is :
[25-Jan-2023 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A bowl filled with very hot soup cools from 98∘C to 86∘C in 2 minutes when the room temperature is 22∘C. How long it will take to cool from 75∘C to 69∘C ?
[25-Jan-2023 Shift 1]
A bowl filled with very hot soup cools from 98∘C to 86∘C in 2 minutes when the room temperature is 22∘C. How long it will take to cool from 75∘C to 69∘C ?
[25-Jan-2023 Shift 1]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
A car is moving with a constant speed of 20 m∕ s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take g=10 m∕ s2)
[25-Jan-2023 Shift 1]
A car is moving with a constant speed of 20 m∕ s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take g=10 m∕ s2)
[25-Jan-2023 Shift 1]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A ray of light is incident from air on a glass plate having thickness √3‌cm and refractive index √2. The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is ×10− ‌2‌cm. (given sin‌15∘=0.26 )
[25-Jan-2023 Shift 1]
A ray of light is incident from air on a glass plate having thickness √3‌cm and refractive index √2. The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is ×10− ‌2‌cm. (given sin‌15∘=0.26 )
[25-Jan-2023 Shift 1]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
In the given circuit, the equivalent resistance between the terminal A and B is_______Ω.

[25-Jan-2023 Shift 1]
In the given circuit, the equivalent resistance between the terminal A and B is_______Ω.

[25-Jan-2023 Shift 1]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of 45∘ with the load axis. The length of wire is 62.8‌cm and its diameter is 4 mm. The Young's modulus is found to be x× 104Nm−2.
The value of x is _______.

[25-Jan-2023 Shift 1]
As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of 45∘ with the load axis. The length of wire is 62.8‌cm and its diameter is 4 mm. The Young's modulus is found to be x× 104Nm−2.
The value of x is _______.

[25-Jan-2023 Shift 1]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
An object of mass ' m ' initially at rest on a smooth horizontal plane starts moving under the action of force F=2N. In the process of its linear motion, the angle θ (as shown in figure) between the direction of force and horizontal varies as θ=kx, where k is a constant and x is the distance covered by the object from its initial position. The expression of kinetic energy of the object will be E=‌n∕ksin‌θ. The value of n is _______.

[25-Jan-2023 Shift 1]
An object of mass ' m ' initially at rest on a smooth horizontal plane starts moving under the action of force F=2N. In the process of its linear motion, the angle θ (as shown in figure) between the direction of force and horizontal varies as θ=kx, where k is a constant and x is the distance covered by the object from its initial position. The expression of kinetic energy of the object will be E=‌n∕ksin‌θ. The value of n is _______.

[25-Jan-2023 Shift 1]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The wavelength of the radiation emitted is λ0 when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second orbit of the hydrogen atom, the wavelength of the radiation emitted will be ‌20∕xλ0. The value of x is _______.
[25-Jan-2023 Shift 1]
The wavelength of the radiation emitted is λ0 when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second orbit of the hydrogen atom, the wavelength of the radiation emitted will be ‌20∕xλ0. The value of x is _______.
[25-Jan-2023 Shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
ICM is moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc. IAB is it's moment of inertia about an axis AB perpendicular to plane and parallel to axis CM at a distance ‌2∕3R from center. Where R is the radius of the disc. The ratio of IAB and ICM is x:9. The value of x is ________.

[25-Jan-2023 Shift 1]
ICM is moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc. IAB is it's moment of inertia about an axis AB perpendicular to plane and parallel to axis CM at a distance ‌2∕3R from center. Where R is the radius of the disc. The ratio of IAB and ICM is x:9. The value of x is ________.

[25-Jan-2023 Shift 1]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
27. The distance between two consecutive points with phase difference of 60∘ in a wave of frequency 500‌Hz is 6.0m. The velocity with which wave is traveling is ________ km∕ s
[25-Jan-2023 Shift 1]
27. The distance between two consecutive points with phase difference of 60∘ in a wave of frequency 500‌Hz is 6.0m. The velocity with which wave is traveling is ________ km∕ s
[25-Jan-2023 Shift 1]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
A uniform electric field of 10N∕C is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically between the plates with a kinetic energy 0.5‌eV. The length of each plate is 10‌cm. The angle (θ) of deviation of the path of electron as it comes out of the field is ______ (in degree).

[25-Jan-2023 Shift 1]
A uniform electric field of 10N∕C is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically between the plates with a kinetic energy 0.5‌eV. The length of each plate is 10‌cm. The angle (θ) of deviation of the path of electron as it comes out of the field is ______ (in degree).

[25-Jan-2023 Shift 1]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
An LCR series circuit of capacitance 62.5‌nF and resistance of 50Ω. is connected to an A.C. source of frequency 2.0‌kHz. For maximum value of amplitude of current in circuit, the value of inductance is ________ mH.
(take π2=10 )
[25-Jan-2023 Shift 1]
An LCR series circuit of capacitance 62.5‌nF and resistance of 50Ω. is connected to an A.C. source of frequency 2.0‌kHz. For maximum value of amplitude of current in circuit, the value of inductance is ________ mH.
(take π2=10 )
[25-Jan-2023 Shift 1]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
If
→
P
=3
^
i
+√3
^
j
+2
^
k
 and
→
Q
=4
^
i
+√3
^
j
+2.5
^
k
 then, The unit vector in the direction of
→
P
×
→
Q
 is ‌
1
x
(√3
^
i
+
^
j
−2√3
^
k
). The value of x is
[25-Jan-2023 Shift 1]
If
→
P
=3
^
i
+√3
^
j
+2
^
k
 and
→
Q
=4
^
i
+√3
^
j
+2.5
^
k
 then, The unit vector in the direction of
→
P
×
→
Q
 is ‌
1
x
(√3
^
i
+
^
j
−2√3
^
k
). The value of x is
[25-Jan-2023 Shift 1]
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The compound which will have the lowest rate towards nucleophilic aromatic substitution on treatment with OH−is
[25-Jan-2023 Shift 1]
The compound which will have the lowest rate towards nucleophilic aromatic substitution on treatment with OH−is
[25-Jan-2023 Shift 1]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
The variation of the rate of an enzyme catalyzed reaction with substrate concentration is correctly represented by graph

[25-Jan-2023 Shift 1]
The variation of the rate of an enzyme catalyzed reaction with substrate concentration is correctly represented by graph

[25-Jan-2023 Shift 1]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Identify the product formed (A and E)

[25-Jan-2023 Shift 1]
Identify the product formed (A and E)

[25-Jan-2023 Shift 1]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Choose the correct answer from the options given below:

Choose the correct answer from the options given below:
[25-Jan-2023 Shift 1]
Choose the correct answer from the options given below:

Choose the correct answer from the options given below:
[25-Jan-2023 Shift 1]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Reaction of thionyl chloride with white phosphorus forms a compound [A], which on hydrolysis gives [B], a dibasic acid. [A] and [B] are respectively
[25-Jan-2023 Shift 1]
Reaction of thionyl chloride with white phosphorus forms a compound [A], which on hydrolysis gives [B], a dibasic acid. [A] and [B] are respectively
[25-Jan-2023 Shift 1]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
A cubic solid is made up of two elements X and Y. Atoms of X are present on every alternate corner and one at the center of cube. Y is at ‌
1
3‌rd ‌
 of the total faces. The empirical formula of the compound is
[25-Jan-2023 Shift 1]
A cubic solid is made up of two elements X and Y. Atoms of X are present on every alternate corner and one at the center of cube. Y is at ‌
1
3‌rd ‌
 of the total faces. The empirical formula of the compound is
[25-Jan-2023 Shift 1]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
The radius of the 2‌nd ‌ orbit of Li2+ is x. The expected radius of the 3‌rd ‌ orbit of Be3+ is
[25-Jan-2023 Shift 1]
The radius of the 2‌nd ‌ orbit of Li2+ is x. The expected radius of the 3‌rd ‌ orbit of Be3+ is
[25-Jan-2023 Shift 1]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Which of the following conformations will be the most stable?
[25-Jan-2023 Shift 1]
Which of the following conformations will be the most stable?
[25-Jan-2023 Shift 1]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Match items of Row I with those of Row II.

Row II :

(i) α-D-(-) Fructofuranose.

(ii) β-D-(-) Fructofuranose

(iii) α-D-(-) Glucopyranose.

(iv) β-D-(-) Glucopyranose
Correct match is
[25-Jan-2023 Shift 1]
Match items of Row I with those of Row II.

Row II :

(i) α-D-(-) Fructofuranose.

(ii) β-D-(-) Fructofuranose

(iii) α-D-(-) Glucopyranose.

(iv) β-D-(-) Glucopyranose
Correct match is
[25-Jan-2023 Shift 1]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R :
Assertion A : Acetal/Ketal is stable in basic medium.
Reason R : The high leaving tendency of alkoxide ion gives the stability to acetal/ketal in basic medium.
In the light of the above statements, choose the correct answer from the options given below:
[25-Jan-2023 Shift 1]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R :
Assertion A : Acetal/Ketal is stable in basic medium.
Reason R : The high leaving tendency of alkoxide ion gives the stability to acetal/ketal in basic medium.
In the light of the above statements, choose the correct answer from the options given below:
[25-Jan-2023 Shift 1]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Inert gases have positive electron gain enthalpy. Its correct order is
[25-Jan-2023 Shift 1]
Inert gases have positive electron gain enthalpy. Its correct order is
[25-Jan-2023 Shift 1]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Which one of the following reactions does not occur during extraction of copper ?
[25-Jan-2023 Shift 1]
Which one of the following reactions does not occur during extraction of copper ?
[25-Jan-2023 Shift 1]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The correct sequence of reagents for the preparation of Q and R is :
[25-Jan-2023 Shift 1]

The correct sequence of reagents for the preparation of Q and R is :
[25-Jan-2023 Shift 1]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
The correct order in aqueous medium of basic strength in case of methyl substituted amines is :
[25-Jan-2023 Shift 1]
The correct order in aqueous medium of basic strength in case of methyl substituted amines is :
[25-Jan-2023 Shift 1]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
' 25 volume' hydrogen peroxide means
[25-Jan-2023 Shift 1]
' 25 volume' hydrogen peroxide means
[25-Jan-2023 Shift 1]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Which of the following statements is incorrect for antibiotics?
[25-Jan-2023 Shift 1]
Which of the following statements is incorrect for antibiotics?
[25-Jan-2023 Shift 1]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Compound A reacts with NH4‌Cl and forms a compound B. Compound B reacts with H2O and excess of CO2 to form compound C which on passing through or reaction with saturated NaCl solution forms sodium hydrogen carbonate. Compound A. B and C, are respectively.
[25-Jan-2023 Shift 1]
Compound A reacts with NH4‌Cl and forms a compound B. Compound B reacts with H2O and excess of CO2 to form compound C which on passing through or reaction with saturated NaCl solution forms sodium hydrogen carbonate. Compound A. B and C, are respectively.
[25-Jan-2023 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Some reactions of NO2 relevant to photochemical smog formation are
Identify A,B,X and Y
[25-Jan-2023 Shift 1]
Some reactions of NO2 relevant to photochemical smog formation are

Identify A,B,X and Y
[25-Jan-2023 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
Match the List-I with List-II :

[25-Jan-2023 Shift 1]
Match the List-I with List-II :

[25-Jan-2023 Shift 1]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
In the cumene to phenol preparation in presence of air, the intermediate is
[25-Jan-2023 Shift 1]
In the cumene to phenol preparation in presence of air, the intermediate is
[25-Jan-2023 Shift 1]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
An athlete is given 100g of glucose (C6H12O6) for energy. This is equivalent to 1800‌kJ of energy. The 50% of this energy gained is utilized by the athlete for sports activities at the event. In order to avoid storage of energy, the weight of extra water he would need to perspire is _______ g (Nearest integer)
Assume that there is no other way of consuming stored energy.
Given : The enthalpy of evaporation of water is 45 kJ‌mol−1
Molar mass of C,H&O are 12.1 and 16gmol−1.
[25-Jan-2023 Shift 1]
An athlete is given 100g of glucose (C6H12O6) for energy. This is equivalent to 1800‌kJ of energy. The 50% of this energy gained is utilized by the athlete for sports activities at the event. In order to avoid storage of energy, the weight of extra water he would need to perspire is _______ g (Nearest integer)
Assume that there is no other way of consuming stored energy.
Given : The enthalpy of evaporation of water is 45 kJ‌mol−1
Molar mass of C,H&O are 12.1 and 16gmol−1.
[25-Jan-2023 Shift 1]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A litre of buffer solution contains 0.1 mole of each of NH3 and NH4‌Cl. On the addition of 0.02 mole of HCl by dissolving gaseous HCl, the pH of the solution is found to be ________ ×10−3( Nearest integer)
[. Given : pKb(NH3)=4.745
log‌2=0.301
log‌3=0.477
T=298K]
[25-Jan-2023 Shift 1]
A litre of buffer solution contains 0.1 mole of each of NH3 and NH4‌Cl. On the addition of 0.02 mole of HCl by dissolving gaseous HCl, the pH of the solution is found to be ________ ×10−3( Nearest integer)
[. Given : pKb(NH3)=4.745
log‌2=0.301
log‌3=0.477
T=298K]
[25-Jan-2023 Shift 1]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The osmotic pressure of solutions of PVC in cyclohexanone at 300K are plotted on the graph.
The molar mass of PVC is _________ g‌mol−1
(Nearest integer)

(Given : R=0.083L‌atm‌K−1‌mol−1 )
[25-Jan-2023 Shift 1]
The osmotic pressure of solutions of PVC in cyclohexanone at 300K are plotted on the graph.
The molar mass of PVC is _________ g‌mol−1
(Nearest integer)

(Given : R=0.083L‌atm‌K−1‌mol−1 )
[25-Jan-2023 Shift 1]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
How many of the following metal ions have similar value of spin only magnetic moment in gaseous state?________
(Given: Atomic number: V, 23;Cr,24;Fe,26; Ni,28)
V3+⋅Cr3+,Fe2+,Ni3+
[25-Jan-2023 Shift 1]
How many of the following metal ions have similar value of spin only magnetic moment in gaseous state?________
(Given: Atomic number: V, 23;Cr,24;Fe,26; Ni,28)
V3+⋅Cr3+,Fe2+,Ni3+
[25-Jan-2023 Shift 1]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The density of a monobasic strong acid (Molar mass 24.2g‌mol ) is 1.21‌kg‌L. The volume of its solution required for the complete neutralization of 25‌mL of 0.24M‌NaOH is ________ x 10−2‌mL (Nearest integer)
[25-Jan-2023 Shift 1]
The density of a monobasic strong acid (Molar mass 24.2g‌mol ) is 1.21‌kg‌L. The volume of its solution required for the complete neutralization of 25‌mL of 0.24M‌NaOH is ________ x 10−2‌mL (Nearest integer)
[25-Jan-2023 Shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
For the first order reaction A→B‌Br the half life is 30‌mm. The time taken for 75% completion of the reaction is _______ mm. (Nearest mteger)
Given : log‌2=0.3010
log‌3=0.4771
log‌5=0.6989
[25-Jan-2023 Shift 1]
For the first order reaction A→B‌Br the half life is 30‌mm. The time taken for 75% completion of the reaction is _______ mm. (Nearest mteger)
Given : log‌2=0.3010
log‌3=0.4771
log‌5=0.6989
[25-Jan-2023 Shift 1]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The total number of lone pairs of electrons on oxygen atoms of ozone is _______
[25-Jan-2023 Shift 1]
The total number of lone pairs of electrons on oxygen atoms of ozone is _______
[25-Jan-2023 Shift 1]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
In sulphur estimation. 0.471g of an organic compound gave 1.4439g of barium sulphate.
The percentage of sulphur in the compound is ________ (Nearest Integer)
(Given: Atomic mass Ba: 137u:S:32u,O:16u )
[25-Jan-2023 Shift 1]
In sulphur estimation. 0.471g of an organic compound gave 1.4439g of barium sulphate.
The percentage of sulphur in the compound is ________ (Nearest Integer)
(Given: Atomic mass Ba: 137u:S:32u,O:16u )
[25-Jan-2023 Shift 1]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The number of paramagnetic species from the following is ______.
‌[Ni(CN)4]2−,[Ni(CO)4],[NiCl4]2−
‌[Fe(CN)6]4−,[Cu(NH3)4]2+
‌[Fe(CN)6]3−‌ and ‌[Fe(H2O)6]2+
[25-Jan-2023 Shift 1]
The number of paramagnetic species from the following is ______.
‌[Ni(CN)4]2−,[Ni(CO)4],[NiCl4]2−
‌[Fe(CN)6]4−,[Cu(NH3)4]2+
‌[Fe(CN)6]3−‌ and ‌[Fe(H2O)6]2+
[25-Jan-2023 Shift 1]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Consider the cell
Pt( s)|H2( s)(latm)H+(aq,[H+]=1)
Fe3+(aq),Fe2+(aq)∣Pt( s)
Given: EFe3+∕∕Fe2+∘=0.771V and EH+∕‌
1
2
H2∘=0V,T=298K
If the potential of the cell is 0.712V the ratio of concentration of Fe2+ to Fe2+ is ________ (Nearest integer)
[25-Jan-2023 Shift 1]
Consider the cell
Pt( s)|H2( s)(latm)H+(aq,[H+]=1)
Fe3+(aq),Fe2+(aq)∣Pt( s)
Given: EFe3+∕∕Fe2+∘=0.771V and EH+∕‌
1
2
H2∘=0V,T=298K
If the potential of the cell is 0.712V the ratio of concentration of Fe2+ to Fe2+ is ________ (Nearest integer)
[25-Jan-2023 Shift 1]
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Let M be the maximum value of the product of two positive integers when their sum is 66 . Let the sample space S={x∈Z:x(66−x)≥‌
5
9
M} and the event A={x∈S:x is a multiple of 3}. Then P(A) is equal to
[25-Jan-2023 Shift 1]
Let M be the maximum value of the product of two positive integers when their sum is 66 . Let the sample space S={x∈Z:x(66−x)≥‌
5
9
M} and the event A={x∈S:x is a multiple of 3}. Then P(A) is equal to
[25-Jan-2023 Shift 1]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Let
→
a
,
→
b
 and
→
c
 be three non zero vectors such that
→
b
⋅
→
c
=0 and
→
a
×(
→
b
×
→
c
)=‌
→
b
−
→
c
2
. If
→
d
 be a vector such that
→
b
⋅
→
d
=
→
a
⋅
→
b
, then (
→
a
×
→
b
)⋅(
→
c
×
→
d
) is equal to
[25-Jan-2023 Shift 1]
Let
→
a
,
→
b
 and
→
c
 be three non zero vectors such that
→
b
⋅
→
c
=0 and
→
a
×(
→
b
×
→
c
)=‌
→
b
−
→
c
2
. If
→
d
 be a vector such that
→
b
⋅
→
d
=
→
a
⋅
→
b
, then (
→
a
×
→
b
)⋅(
→
c
×
→
d
) is equal to
[25-Jan-2023 Shift 1]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Let y=y(x) be the solution curve of the differential equation ‌
dy
dx
=‌
y
x
(1+xy2(1+logex)), x>0,y(1)=3. Then ‌
y2(x)
9
 is equal to :
[25-Jan-2023 Shift 1]
Let y=y(x) be the solution curve of the differential equation ‌
dy
dx
=‌
y
x
(1+xy2(1+logex)), x>0,y(1)=3. Then ‌
y2(x)
9
 is equal to :
[25-Jan-2023 Shift 1]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The value of
Lim
n→∞
‌
1+2−3+4+5−6+...+(3n−2)+(3n−1)−3n
√2n4+4n+3−√n4+5n+4

is :
[25-Jan-2023 Shift 1]
The value of
Lim
n→∞
‌
1+2−3+4+5−6+...+(3n−2)+(3n−1)−3n
√2n4+4n+3−√n4+5n+4

is :
[25-Jan-2023 Shift 1]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The points of intersection of the line ax+by=0, (a≠b) and the circle x2+y2−2x=0 are A(α,0) and B(1,β). The image of the circle with AB as a diameter in the line x+y+2=0 is :
[25-Jan-2023 Shift 1]
The points of intersection of the line ax+by=0, (a≠b) and the circle x2+y2−2x=0 are A(α,0) and B(1,β). The image of the circle with AB as a diameter in the line x+y+2=0 is :
[25-Jan-2023 Shift 1]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one of the students is increased from 8 to 12 . If the new mean of the marks is 10.2. then their new variance is equal to:
[25-Jan-2023 Shift 1]
The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one of the students is increased from 8 to 12 . If the new mean of the marks is 10.2. then their new variance is equal to:
[25-Jan-2023 Shift 1]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Let
y(x)=(1+x)(1+x2)(1+x4)(1+x8)(1+x16).
Then y′−y′′ at x=−1 is equal to
[25-Jan-2023 Shift 1]
Let
y(x)=(1+x)(1+x2)(1+x4)(1+x8)(1+x16).
Then y′−y′′ at x=−1 is equal to
[25-Jan-2023 Shift 1]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The vector
→
a
=−
^
i
+2
^
j
+
^
k
 is rotated through a right angle, passing through the y-axis in its way and the resulting vector is
→
b
. Then the projection of 3
→
a
+√2
→
b
 on
→
c
=5
^
i
+4
^
j
+3
^
k
 is
[25-Jan-2023 Shift 1]
The vector
→
a
=−
^
i
+2
^
j
+
^
k
 is rotated through a right angle, passing through the y-axis in its way and the resulting vector is
→
b
. Then the projection of 3
→
a
+√2
→
b
 on
→
c
=5
^
i
+4
^
j
+3
^
k
 is
[25-Jan-2023 Shift 1]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
The minimum value of the function f(x)=
2
∫
0
e
|x−t|
‌‌
‌dt is is
[25-Jan-2023 Shift 1]
The minimum value of the function f(x)=
2
∫
0
e
|x−t|
‌‌
‌dt is is
[25-Jan-2023 Shift 1]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Consider the lines L1 and L2 given by
‌L1:‌
x−1
2
=‌
y−3
1
=‌
z−2
2

‌L2:‌
x−2
1
=‌
y−2
2
=‌
z−3
3

A line L3 having direction ratios 1,−1,−2, intersects L1 and L2 at the points P and Q respectively. Then the length of line segment PQ is
[25-Jan-2023 Shift 1]
Consider the lines L1 and L2 given by
‌L1:‌
x−1
2
=‌
y−3
1
=‌
z−2
2

‌L2:‌
x−2
1
=‌
y−2
2
=‌
z−3
3

A line L3 having direction ratios 1,−1,−2, intersects L1 and L2 at the points P and Q respectively. Then the length of line segment PQ is
[25-Jan-2023 Shift 1]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Let x=2 be a local minima of the function f(x)=2x4−18x2+8x+12,x∈(−4,4). If M is local maximum value of the function f in (−4,4), then M=
[25-Jan-2023 Shift 1]
Let x=2 be a local minima of the function f(x)=2x4−18x2+8x+12,x∈(−4,4). If M is local maximum value of the function f in (−4,4), then M=
[25-Jan-2023 Shift 1]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Let z1=2+3i and z2=3+4i. The set
S={z∈C:|z−z1
‌
‌
|2−z−z2
‌
‌
|2=z1−z2
‌
‌
|2}
represents a
[25-Jan-2023 Shift 1]
Let z1=2+3i and z2=3+4i. The set
S={z∈C:|z−z1
‌
‌
|2−z−z2
‌
‌
|2=z1−z2
‌
‌
|2}
represents a
[25-Jan-2023 Shift 1]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The distance of the point (6,−2√2) from the common tangent y=mx+c,m>0, of the curves x=2y2 and x=1+y2 is
[25-Jan-2023 Shift 1]
The distance of the point (6,−2√2) from the common tangent y=mx+c,m>0, of the curves x=2y2 and x=1+y2 is
[25-Jan-2023 Shift 1]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Let S1 and S2 be respectively the sets of all a∈R−{0} for which the system of linear equations
‌ax+2ay−3az=1
‌(2a+1)x+(2a+3)y+(a+1)z=2
‌(3a+5)x+(a+5)y+(a+2)z=3
has unique solution and infinitely many solutions. Then
[25-Jan-2023 Shift 1]
Let S1 and S2 be respectively the sets of all a∈R−{0} for which the system of linear equations
‌ax+2ay−3az=1
‌(2a+1)x+(2a+3)y+(a+1)z=2
‌(3a+5)x+(a+5)y+(a+2)z=3
has unique solution and infinitely many solutions. Then
[25-Jan-2023 Shift 1]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Let f(x)=∫‌
2x
(x2+1)(x2+3)
‌dx.
If f(3)=‌
1
2
(loge5−loge6), then f(4) is equal to
[25-Jan-2023 Shift 1]
Let f(x)=∫‌
2x
(x2+1)(x2+3)
‌dx.
If f(3)=‌
1
2
(loge5−loge6), then f(4) is equal to
[25-Jan-2023 Shift 1]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
The statement (p∧(∼q))⇒(p⇒(∼q)) is
[25-Jan-2023 Shift 1]
The statement (p∧(∼q))⇒(p⇒(∼q)) is
[25-Jan-2023 Shift 1]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Let f:(0,1)→ℝ be a function defined by f(x)=‌
1
1−e−x
, and
g(x)=(f(−x)−f(x)). Consider two statements
(I) g is an increasing function in (0,1)
(II) g is one-one in (0,1)
Then,
[25-Jan-2023 Shift 1]
Let f:(0,1)→ℝ be a function defined by f(x)=‌
1
1−e−x
, and
g(x)=(f(−x)−f(x)). Consider two statements
(I) g is an increasing function in (0,1)
(II) g is one-one in (0,1)
Then,
[25-Jan-2023 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
The distance of the point P(4,6,−2) from the line passing through the point (−3,2,3) and parallel to a line with direction ratios 3,3,−1 is equal to :
[25-Jan-2023 Shift 1]
The distance of the point P(4,6,−2) from the line passing through the point (−3,2,3) and parallel to a line with direction ratios 3,3,−1 is equal to :
[25-Jan-2023 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
Let x,y,z>1 and
A=[
1logxylogxz
logyx2logyz
logzxlogzy3
].
Then |adj(adj‌A2)‌
‌
‌
| is equal to
[25-Jan-2023 Shift 1]
Let x,y,z>1 and
A=[
1logxylogxz
logyx2logyz
logzxlogzy3
].
Then |adj(adj‌A2)‌
‌
‌
| is equal to
[25-Jan-2023 Shift 1]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
If ar is the coefficient of x10−r in the Binomial expansion of (1+x)10, then
10
∑
r=1
r3(‌
ar
ar−1
)2 is equal to
[25-Jan-2023 Shift 1]
If ar is the coefficient of x10−r in the Binomial expansion of (1+x)10, then
10
∑
r=1
r3(‌
ar
ar−1
)2 is equal to
[25-Jan-2023 Shift 1]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Let S={1,2,3,5,7,10,11}. The number of nonempty subsets of S that have the sum of all elements a multiple of 3 , is _______.
[25-Jan-2023 Shift 1]
Let S={1,2,3,5,7,10,11}. The number of nonempty subsets of S that have the sum of all elements a multiple of 3 , is _______.
[25-Jan-2023 Shift 1]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
For some a,b,c∈ℕ, let f(x)=ax−3 and g(x)=xb+c,x∈ℝ. If (‌ fog ‌)−1(x)=(‌
x−7
2
)1∕3 then (fog) (ac)+(gof) (b) is equal to ________.
[25-Jan-2023 Shift 1]
For some a,b,c∈ℕ, let f(x)=ax−3 and g(x)=xb+c,x∈ℝ. If (‌ fog ‌)−1(x)=(‌
x−7
2
)1∕3 then (fog) (ac)+(gof) (b) is equal to ________.
[25-Jan-2023 Shift 1]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The vertices of a hyperbola H are (±6,0) and its eccentricity is ‌
√5
2
. Let N be the normal to H at a point in the first quadrant and parallel to the line √2x+y=2√2. If d is the length of the line segment of N between H and the y-axis then d2 is equal to _______.
[25-Jan-2023 Shift 1]
The vertices of a hyperbola H are (±6,0) and its eccentricity is ‌
√5
2
. Let N be the normal to H at a point in the first quadrant and parallel to the line √2x+y=2√2. If d is the length of the line segment of N between H and the y-axis then d2 is equal to _______.
[25-Jan-2023 Shift 1]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Let
S={α:log2(92α−4+13)−log2(‌
5
2
⋅32α−4+1)=2}‌. ‌
Then the maximum value of β for which the equation x2−2(
∑
α∈s
α)2x+
∑
α∈s
(α+1)2β=0 has real roots, is ______.
[25-Jan-2023 Shift 1]
Let
S={α:log2(92α−4+13)−log2(‌
5
2
⋅32α−4+1)=2}‌. ‌
Then the maximum value of β for which the equation x2−2(
∑
α∈s
α)2x+
∑
α∈s
(α+1)2β=0 has real roots, is ______.
[25-Jan-2023 Shift 1]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The constant term in the expansion of
(2x+‌
1
x7
+3x2)5‌ is ‌ ______.
[25-Jan-2023 Shift 1]
The constant term in the expansion of
(2x+‌
1
x7
+3x2)5‌ is ‌ ______.
[25-Jan-2023 Shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Let A1,A2,A3 be the three A.P. with the same common difference d and having their first terms as A,A+1,A+2, respectively. Let a, b, c be the 7‌th ‌,9‌th ‌,17‌th ‌ terms of A1,A2,A3, respectively such that |
a71
2b171
c171
|+70=0
If a=29, then the sum of first 20 terms of an AP whose first term is c−a−b and common difference is ‌
d
12
, is equal to ________.
[25-Jan-2023 Shift 1]
Let A1,A2,A3 be the three A.P. with the same common difference d and having their first terms as A,A+1,A+2, respectively. Let a, b, c be the 7‌th ‌,9‌th ‌,17‌th ‌ terms of A1,A2,A3, respectively such that |
a71
2b171
c171
|+70=0
If a=29, then the sum of first 20 terms of an AP whose first term is c−a−b and common difference is ‌
d
12
, is equal to ________.
[25-Jan-2023 Shift 1]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
If the sum of all the solutions of
tan−1(‌
2x
1−x2
)+cot−1(‌
1−x2
2x
)=‌
π
3

−1<x<1,x≠0, is α−‌
4
√3
, then α is equal to _______.
[25-Jan-2023 Shift 1]
If the sum of all the solutions of
tan−1(‌
2x
1−x2
)+cot−1(‌
1−x2
2x
)=‌
π
3

−1<x<1,x≠0, is α−‌
4
√3
, then α is equal to _______.
[25-Jan-2023 Shift 1]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Let the equation of the plane passing through the line x−2y−z−5=0=x+y+3z−5 and parallel to the line x+y+2z−7=0=2x+3y+z−2 be ax+by+cz=65. Then the distance of the point (a, b, c) from the plane 2x+2y−z+16=0 is _______.
[25-Jan-2023 Shift 1]
Let the equation of the plane passing through the line x−2y−z−5=0=x+y+3z−5 and parallel to the line x+y+2z−7=0=2x+3y+z−2 be ax+by+cz=65. Then the distance of the point (a, b, c) from the plane 2x+2y−z+16=0 is _______.
[25-Jan-2023 Shift 1]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Let x and y be distinct integers where 1≤x≤25 and 1≤y≤25. Then, the number of ways of choosing x and y, such that x+y is divisible by 5 , is _______.
[25-Jan-2023 Shift 1]
Let x and y be distinct integers where 1≤x≤25 and 1≤y≤25. Then, the number of ways of choosing x and y, such that x+y is divisible by 5 , is _______.
[25-Jan-2023 Shift 1]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
It the area enclosed by the parabolas P1:2y=5x2 and P2:x2−y+6=0 is equal to the area enclosed by P1 and y=αx,α>0, then α3 is equal to _______.
[25-Jan-2023 Shift 1]
It the area enclosed by the parabolas P1:2y=5x2 and P2:x2−y+6=0 is equal to the area enclosed by P1 and y=αx,α>0, then α3 is equal to _______.
[25-Jan-2023 Shift 1]
Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Click on Allow to receive notifications
×
Open Now