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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Physics
A particle has initial velocity (2
^
i
+3
^
j
) and acceleration (0.3
^
i
+0.2
^
j
). The magnitude of velocity after 10 seconds will be $
Physics
A particle has initial velocity (2
^
i
+3
^
j
) and acceleration (0.3
^
i
+0.2
^
j
). The magnitude of velocity after 10 seconds will be $
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
If reaction is R and coefficient of friction µr what is the work done against friction in moving a body by distance d ?
If reaction is R and coefficient of friction µr what is the work done against friction in moving a body by distance d ?
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A ?

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A ?

Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A balloon has a mass of 10 gram in air. The air escapes from the balloon at a uniform rate with a velocity of 5cm∕s and the balloon shrinks completely in 2.5s. The average force acting on the balloon will be
A balloon has a mass of 10 gram in air. The air escapes from the balloon at a uniform rate with a velocity of 5cm∕s and the balloon shrinks completely in 2.5s. The average force acting on the balloon will be
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
If a particle's position is given by x=4−12t+3t2 where t is in the seconds and x in meters. What is its velocity at t=1s? Whether the particle is moving in positive x direction or negative x direction?
If a particle's position is given by x=4−12t+3t2 where t is in the seconds and x in meters. What is its velocity at t=1s? Whether the particle is moving in positive x direction or negative x direction?
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height
d
2
. Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground as
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height
d
2
. Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground as
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force (−
K
r2
), total energy is
If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force (−
K
r2
), total energy is
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
A thin circular ring of mass M and radius r is rotating about its axis at angular velocity ω. Two particles, each of mass m are attached gently to the ring at points which are at opposite ends of diameter of the ring. New angular velocity of the ring is
A thin circular ring of mass M and radius r is rotating about its axis at angular velocity ω. Two particles, each of mass m are attached gently to the ring at points which are at opposite ends of diameter of the ring. New angular velocity of the ring is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
A body of mass m accelerates uniformly from rest to v1 in the time t1. The instantaneous power delivered to the body as a function of time
A body of mass m accelerates uniformly from rest to v1 in the time t1. The instantaneous power delivered to the body as a function of time
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
A satellite of mass M is revolving in circular orbit of radius r around the earth. Time of revolution of the satellite is
A satellite of mass M is revolving in circular orbit of radius r around the earth. Time of revolution of the satellite is
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is
Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
If S is the stress and Y is Young's modulus of material of a wire, the energy stored in the wire per unit volume is
If S is the stress and Y is Young's modulus of material of a wire, the energy stored in the wire per unit volume is
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The freezer in a refrigerator is located at the top section so that
The freezer in a refrigerator is located at the top section so that
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A simple pendulum has time period T1. The point of suspension is now moved upward according to the relation y=kt2,(k=1m∕s2) where y is the vertical displacement. The time period now becomes T2 .
The ratio of
T12
T22
(g=10m∕s2) is
A simple pendulum has time period T1. The point of suspension is now moved upward according to the relation y=kt2,(k=1m∕s2) where y is the vertical displacement. The time period now becomes T2 .
The ratio of
T12
T22
(g=10m∕s2) is
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Two non-reactive monatomic ideal gases have their atomic masses in the ratio 2:3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature is 4:3. The ratio of their densities is
Two non-reactive monatomic ideal gases have their atomic masses in the ratio 2:3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature is 4:3. The ratio of their densities is
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Two long conductors, separated by a distance d carry currents I1 and I2 in the same direction. They exert a force F on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to 3d. The new value of force between them is
Two long conductors, separated by a distance d carry currents I1 and I2 in the same direction. They exert a force F on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to 3d. The new value of force between them is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Two identical cells are first connected in series and then in parallel. The ratio of power consumed by them is
Two identical cells are first connected in series and then in parallel. The ratio of power consumed by them is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A circuit is shown in the figure. The e.m.f. of the battery is

A circuit is shown in the figure. The e.m.f. of the battery is

Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
At 600Hz, an inductor and capacitor have equal reactances, the ratio of the capacitive reactance to the inductive reactance at 60Hz will be
At 600Hz, an inductor and capacitor have equal reactances, the ratio of the capacitive reactance to the inductive reactance at 60Hz will be
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
The strength of current i in the given figure is

The strength of current i in the given figure is

Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Substances, when placed in a magnetic field acquire feeble magnetisation in the direction opposite to that of the applied field are called
Substances, when placed in a magnetic field acquire feeble magnetisation in the direction opposite to that of the applied field are called
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
1 A current flows through an infinitely long straight wire. The magnetic field produced at a point 1m away from it is
1 A current flows through an infinitely long straight wire. The magnetic field produced at a point 1m away from it is
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The rms value of potential difference V0 shown in figure is

The rms value of potential difference V0 shown in figure is

Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
On stretching a wire its length is increased by 0.2%, its resistance will
On stretching a wire its length is increased by 0.2%, its resistance will
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
An electric field
→
E
=30x2
^
i
 exists in space. Then, the potential difference VA−VO, where VO is the potential at the origin and VA is the potential at x=2m, is given by
An electric field
→
E
=30x2
^
i
 exists in space. Then, the potential difference VA−VO, where VO is the potential at the origin and VA is the potential at x=2m, is given by
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
In a series LCR circuit with an alternating voltage source of frequency f, the current leads the voltage by 45°. The value of C is
In a series LCR circuit with an alternating voltage source of frequency f, the current leads the voltage by 45°. The value of C is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
A copper ring having a cut such that it does not form a complete loop is held horizontally and a bar magnet is dropped through the ring with its length along the axis of the ring. Then acceleration of the falling magnet is

A copper ring having a cut such that it does not form a complete loop is held horizontally and a bar magnet is dropped through the ring with its length along the axis of the ring. Then acceleration of the falling magnet is

Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The electric field associated with an electromagnetic wave in vacuum is given by E=
^
i
40‌cos(kz−6×108t), where E,z and tare Volt /m, metre and second respectively. The value of wave vector k is
The electric field associated with an electromagnetic wave in vacuum is given by E=
^
i
40‌cos(kz−6×108t), where E,z and tare Volt /m, metre and second respectively. The value of wave vector k is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The electromagnetic wave used in LASIK eye surgery is
The electromagnetic wave used in LASIK eye surgery is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
What is power dissipation in an a.c. circuit in which voltage and current are given byV=300‌sin(ωt+π∕2),I=5‌sin‌ω‌t?
What is power dissipation in an a.c. circuit in which voltage and current are given byV=300‌sin(ωt+π∕2),I=5‌sin‌ω‌t?
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
The charging current for a capacitor at any instant is 0.78A. The displacement current across the capacitor plates at that instant is
The charging current for a capacitor at any instant is 0.78A. The displacement current across the capacitor plates at that instant is
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
The bending of beam of light around corners of obstacles is called
The bending of beam of light around corners of obstacles is called
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Which of the following colour suffers maximum deviation in a prism?
Which of the following colour suffers maximum deviation in a prism?
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Light travels in a straight line because
Light travels in a straight line because
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Mirage is a phenomenon due to
Mirage is a phenomenon due to
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
The human eye has a lens which has a
The human eye has a lens which has a
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
There are four lenses L1,L2,L3 and L4 of focal lengths, 2,4,6 and 8cm respectively. Two of these lenses form a telescope of length 10cm and magnifying power 4 . The objective and eye lenses are
There are four lenses L1,L2,L3 and L4 of focal lengths, 2,4,6 and 8cm respectively. Two of these lenses form a telescope of length 10cm and magnifying power 4 . The objective and eye lenses are
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The wavelength of 1keV photon is 1.24×10−9m. What is the frequency of 1. MeV photon?
The wavelength of 1keV photon is 1.24×10−9m. What is the frequency of 1. MeV photon?
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
The de-Broglie wavelength of a tennis ball of mass 60g moving with a velocity of 10m∕s is Given: Planck's constant =6.63×10−34Js
The de-Broglie wavelength of a tennis ball of mass 60g moving with a velocity of 10m∕s is Given: Planck's constant =6.63×10−34Js
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
What will be the ratio of de-Broglie wavelengths of proton and α -particle of the same energy?
What will be the ratio of de-Broglie wavelengths of proton and α -particle of the same energy?
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
Density of nuclear matter is nearly
Density of nuclear matter is nearly
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Which of the series of hydrogen atom spectrum lies in the visible region of electromagnetic spectrum?
Which of the series of hydrogen atom spectrum lies in the visible region of electromagnetic spectrum?
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
The mass-defect in a nuclear fusion reaction is 0.3 per cent. The amount of energy released in one kg of fusion reaction is
The mass-defect in a nuclear fusion reaction is 0.3 per cent. The amount of energy released in one kg of fusion reaction is
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
The relation between force acting on the electron and principle quantum number in hydrogen atom is
The relation between force acting on the electron and principle quantum number in hydrogen atom is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
A radioisotope has a half-life of 5yr. The fraction of atoms of this material, that would decay in 15 yr would be
A radioisotope has a half-life of 5yr. The fraction of atoms of this material, that would decay in 15 yr would be
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
The band gap in Ge and Si in eV respectively is
The band gap in Ge and Si in eV respectively is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
In a semiconductor crystal if the current flows due to breakage of crystal bonds, then the semiconductor is called
In a semiconductor crystal if the current flows due to breakage of crystal bonds, then the semiconductor is called
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
In adjoining figure, the input (A.C.) is across the terminals A and C and the output is across B and D. Then output is
In adjoining figure, the input (A.C.) is across the terminals A and C and the output is across B and D. Then output is

Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
A 100m long antenna is mounted on a 500m tall building. The complex can become a transmission tower for waves with λ
A 100m long antenna is mounted on a 500m tall building. The complex can become a transmission tower for waves with λ
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
For an amplitude modulated wave, the maximum amplitude is found to be 12V while the minimum amplitude is found to be 4V. The modulation index µ will be
For an amplitude modulated wave, the maximum amplitude is found to be 12V while the minimum amplitude is found to be 4V. The modulation index µ will be
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Chemistry
Aniline is insoluble in water and possesses a vapour pressure of 10.15mm Hg at 373K. It can be conveniently purified by
Chemistry
Aniline is insoluble in water and possesses a vapour pressure of 10.15mm Hg at 373K. It can be conveniently purified by
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
Which of the following is not a reaction intermediate?
Which of the following is not a reaction intermediate?
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
IUPAC name of (CH3)3C−CH=CH2 is
IUPAC name of (CH3)3C−CH=CH2 is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
The configuration of the compound

The configuration of the compound

Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
The reaction,

The reaction,

Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
What is the compound ' C′ in the following sequence of the reaction, Phenol
NaOH
────▸
A
CO2,410K
──────▸
4−7atm
B
HCl
────▸
C?
What is the compound ' C′ in the following sequence of the reaction, Phenol
NaOH
────▸
A
CO2,410K
──────▸
4−7atm
B
HCl
────▸
C?
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
The major product of nitration of benzoic acid is
The major product of nitration of benzoic acid is
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Arrange the following carbanions in order of their decreasing stability
(i) H3C−C≡C
(ii) H−C≡C
(iii) H3C−CH2−
Arrange the following carbanions in order of their decreasing stability
(i) H3C−C≡C
(ii) H−C≡C
(iii) H3C−CH2−
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
The following reaction, R−X+NaI→R−I+NaX where, X=Cl,Bris known as
The following reaction, R−X+NaI→R−I+NaX where, X=Cl,Bris known as
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
Which of the following will exhibit highest boiling point?
Which of the following will exhibit highest boiling point?
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
The fastest dehydration reaction could be expected in
The fastest dehydration reaction could be expected in
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The correct arrangement of following in their decreasing order of basic strength is
The correct arrangement of following in their decreasing order of basic strength is
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Which one of the following is known as animal starch?
Which one of the following is known as animal starch?
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
The polymer used as a substitute for wool in making commercial fibres is
The polymer used as a substitute for wool in making commercial fibres is
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
The drug which was designed to prevent the interaction of histamine with the receptors present in the stomach wall
The drug which was designed to prevent the interaction of histamine with the receptors present in the stomach wall
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
What is the IUPAC name for the following compound?
What is the IUPAC name for the following compound?
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
Which of the following will not give iodoform test?
Which of the following will not give iodoform test?
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
Which of the following has highest hydration energy?
Which of the following has highest hydration energy?
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
The structure of BrF3 is
The structure of BrF3 is
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
Sodium hydroxide is manufactured by
Sodium hydroxide is manufactured by
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
Ziegler catalyst to manufacture polyethylene is made by the reaction
Ziegler catalyst to manufacture polyethylene is made by the reaction
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Primary valency of Co in [Co(en)2Cl2]Cl is
Primary valency of Co in [Co(en)2Cl2]Cl is
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The oxidation number of Pt in [Pt(C2H4)Cl3]−ion is
The oxidation number of Pt in [Pt(C2H4)Cl3]−ion is
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
By the action of conc. H2SO4, phosphorus changes to
By the action of conc. H2SO4, phosphorus changes to
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Tear gas is
Tear gas is
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
The correct sequence of bond order is
The correct sequence of bond order is
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
Inert pair effect is concerned with
Inert pair effect is concerned with
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Copper is extracted from sulphide ore using the method
Copper is extracted from sulphide ore using the method
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
The photochemical smog is
The photochemical smog is
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Correct formula for Wilkinson's catalyst is
Correct formula for Wilkinson's catalyst is
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
Which of the following chelating ligands can be used to remove the excess of copper in the biosystems?
Which of the following chelating ligands can be used to remove the excess of copper in the biosystems?
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Which of the following oxides of nitrogen is blue in nature?
Which of the following oxides of nitrogen is blue in nature?
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
Arrange H2O,H2S and H2 Se in order of increasing acidity.
Arrange H2O,H2S and H2 Se in order of increasing acidity.
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
According to MOT,O2 is paramagnetic in nature, what is the number of electrons in antibonding molecular orbitals?
According to MOT,O2 is paramagnetic in nature, what is the number of electrons in antibonding molecular orbitals?
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
What is the number of nitrogen-nitrogen bonds in N2O5 ?
What is the number of nitrogen-nitrogen bonds in N2O5 ?
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
The half-life period of a radioactive element is 140 days. After 700 days, 1g of the element will reduce to
The half-life period of a radioactive element is 140 days. After 700 days, 1g of the element will reduce to
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
Which of the following gases has high Boyle's temperature?
Which of the following gases has high Boyle's temperature?
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Which of the following has the highest coagulating power for As2S3 colloid?
Which of the following has the highest coagulating power for As2S3 colloid?
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
The rate of chemisorption of a gas
The rate of chemisorption of a gas
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
For a buffer of a mixture of 0.12molL−1 CH3COOH and 0.12molL−1CH3COONa, the buffer capacity is
For a buffer of a mixture of 0.12molL−1 CH3COOH and 0.12molL−1CH3COONa, the buffer capacity is
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
Water +CH3 OH mixture shows positive deviation from ideal solution behaviour. 100mL of water is mixed with 100mL of CH3OH. Then, total volume of the mixture will be
Water +CH3 OH mixture shows positive deviation from ideal solution behaviour. 100mL of water is mixed with 100mL of CH3OH. Then, total volume of the mixture will be
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
0.02 molar solution of NaCl having degree of dissociation of 90% at 27°C has osmotic pressure equal to
0.02 molar solution of NaCl having degree of dissociation of 90% at 27°C has osmotic pressure equal to
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
Benzene freezes at 5.6°C. Its value for Kf is 5. 1. The value of ΔHfus is
Benzene freezes at 5.6°C. Its value for Kf is 5. 1. The value of ΔHfus is
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
For the reaction, S(rhombic )+O2→SO2, ΔH=−298kJmol−1 at 25°C and l atm.
Therefore, ΔE for the reaction should be
For the reaction, S(rhombic )+O2→SO2, ΔH=−298kJmol−1 at 25°C and l atm.
Therefore, ΔE for the reaction should be
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
A better criterion for ideality of a gas than (
𝜕U
𝜕V
)T=0 is
A better criterion for ideality of a gas than (
𝜕U
𝜕V
)T=0 is
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
For a second order reaction, (2A→ Product),
1
[A]
vst is represented as
For a second order reaction, (2A→ Product),
1
[A]
vst is represented as
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
For NH4HS(s)⇌NH3(g)+H2S(g), the observed pressure for the reaction mixture in equilibrium is 1.12 atm at 106°C. What is the value of Kp for the reaction?
For NH4HS(s)⇌NH3(g)+H2S(g), the observed pressure for the reaction mixture in equilibrium is 1.12 atm at 106°C. What is the value of Kp for the reaction?
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
Calculation the maximum work done in expanding 16g of oxygen at 300K and occupying a volume of 5dm3 isothermally until volume becomes 25dm3.
Calculation the maximum work done in expanding 16g of oxygen at 300K and occupying a volume of 5dm3 isothermally until volume becomes 25dm3.
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
Number of electrons present in 3.6mg of NH4+ are
Number of electrons present in 3.6mg of NH4+ are
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
When a mixture of 10 moles of SO2 and 16 moles of O2 were passed over a catalyst, 8 moles of SO3 were formed at equilibrium. The number of moles of SO2 and O2 remaining unreacted were
When a mixture of 10 moles of SO2 and 16 moles of O2 were passed over a catalyst, 8 moles of SO3 were formed at equilibrium. The number of moles of SO2 and O2 remaining unreacted were
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
Mathematics
For any three sets A,B and C the set (A∪B∪C)∩(A∩B′∩C′)′∩C′ is equal to
Mathematics
For any three sets A,B and C the set (A∪B∪C)∩(A∩B′∩C′)′∩C′ is equal to
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
Let P=(θ;sin‌θ−cos‌θ=√2‌cos‌θ} andQ={θ;sin‌θ+cos‌θ=√2‌sin‌θ} be two sets.
Then,
Let P=(θ;sin‌θ−cos‌θ=√2‌cos‌θ} andQ={θ;sin‌θ+cos‌θ=√2‌sin‌θ} be two sets.
Then,
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
The function f(x)=x−[x] where [.] denotes the greatest integer function is
The function f(x)=x−[x] where [.] denotes the greatest integer function is
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
If f(x)=xex(1−x), then f(x) is
If f(x)=xex(1−x), then f(x) is
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
The range of the function f(x)=
2+x
2−x
,x≠2 is
The range of the function f(x)=
2+x
2−x
,x≠2 is
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
If sin(α+β)=1,sin(α−β)=
1
2
, α,β∈[0,
α
2
] then the value of tan(α+2β)‌tan(2α+β) is
If sin(α+β)=1,sin(α−β)=
1
2
, α,β∈[0,
α
2
] then the value of tan(α+2β)‌tan(2α+β) is
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
Using the information from the figure, cos−1x is equal to

Using the information from the figure, cos−1x is equal to

Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
Let f(x) be a function defined by f(x)={
4x−5,if x≤2
x−λ,if x>2
 if
lim
x→2
f(x) exists then the value of λ is
Let f(x) be a function defined by f(x)={
4x−5,if x≤2
x−λ,if x>2
 if
lim
x→2
f(x) exists then the value of λ is
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
The tangent of the angle between the lines whose intercepts on the axes are respectively a,−b and b,−a is
The tangent of the angle between the lines whose intercepts on the axes are respectively a,−b and b,−a is
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
The equation of the circle whose radius is 5 and which touches the circle x2+y2−2x−4y−20=0 externally at the point (5,5) is
The equation of the circle whose radius is 5 and which touches the circle x2+y2−2x−4y−20=0 externally at the point (5,5) is
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
The variance of 20 observations in 5. If each observation is multiplied by 2, then the variance of the resulting observation is
The variance of 20 observations in 5. If each observation is multiplied by 2, then the variance of the resulting observation is
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
If the sum of n terms of an AP is nR+
1
2
n(n−1)T, where R and T are constants, then the common difference is
If the sum of n terms of an AP is nR+
1
2
n(n−1)T, where R and T are constants, then the common difference is
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
A man repays a loan of Rs.3250 by paying Rs.20 in the first month and then increases the payment by Rs.15 every month. How long will it take him to clear the loan?
A man repays a loan of Rs.3250 by paying Rs.20 in the first month and then increases the payment by Rs.15 every month. How long will it take him to clear the loan?
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
If the two positive numbers whose difference is 12 and whose AM exceeds the GM by 2, then the numbers are
If the two positive numbers whose difference is 12 and whose AM exceeds the GM by 2, then the numbers are
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
The coefficients of three consecutive terms in the expansion of (1+x)n are in the ratio 1:7:42, then the value of n is
The coefficients of three consecutive terms in the expansion of (1+x)n are in the ratio 1:7:42, then the value of n is
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
The number of words with or without meaning which can be made using all the letters of the word AGAIN. If these words are written as in a dictionary, then the 50 th word will be
The number of words with or without meaning which can be made using all the letters of the word AGAIN. If these words are written as in a dictionary, then the 50 th word will be
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
Coefficient of variation of two distributions are 60 and 70 and their standard deviations are 21 and 16 respectively. Then their AM's are
Coefficient of variation of two distributions are 60 and 70 and their standard deviations are 21 and 16 respectively. Then their AM's are
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
The equation of the normal to the curve y=ex at (0,1) is
The equation of the normal to the curve y=ex at (0,1) is
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
The length ' x′ of a rectangle is decreasing at the rate of 6cm∕min and the width y is increasing at the rate of 4cm∕min. When x=8cm and y=4cm, the rate of change of the area of the rectangle is
The length ' x′ of a rectangle is decreasing at the rate of 6cm∕min and the width y is increasing at the rate of 4cm∕min. When x=8cm and y=4cm, the rate of change of the area of the rectangle is
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
If A is an orthogonal matrix, then
If A is an orthogonal matrix, then
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
The area bounded by the curve y=2x−x2 and then straight line y=−x is given by
The area bounded by the curve y=2x−x2 and then straight line y=−x is given by
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
Let g(x) be the inverse of an invertible function f(x) which is differentiable at x=c, then g′(f(c)) equals
Let g(x) be the inverse of an invertible function f(x) which is differentiable at x=c, then g′(f(c)) equals
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
If A and B are two events associated to some experiment E such that P(A)=0.5,P(B)=0.4 P(A∩B)=0.3, then P(
AC
BC
) is equal to
If A and B are two events associated to some experiment E such that P(A)=0.5,P(B)=0.4 P(A∩B)=0.3, then P(
AC
BC
) is equal to
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
If X follows a binomial distribution with parameters n=100,p=
1
3
, then P(X=r) is maximum, when r is equal to
If X follows a binomial distribution with parameters n=100,p=
1
3
, then P(X=r) is maximum, when r is equal to
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
The most correct statement is
The most correct statement is
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
The shortest distance between the lines
→
r
=(4
^
i
−
^
j
)+λ(
^
i
+2
^
j
−3
^
k
) and
→
r
=(
^
i
−
^
j
+2
^
k
) +µ(2
^
i
+4
^
j
−5
^
k
) is
The shortest distance between the lines
→
r
=(4
^
i
−
^
j
)+λ(
^
i
+2
^
j
−3
^
k
) and
→
r
=(
^
i
−
^
j
+2
^
k
) +µ(2
^
i
+4
^
j
−5
^
k
) is
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
If the sum of two unit vectors is again a unit vector, then magnitude of their difference is
If the sum of two unit vectors is again a unit vector, then magnitude of their difference is
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
Let A and B be two points with position vectors
→
a
 and
→
b
 respectively and let C be a point dividing AB internally and the position vector of C on AB is
→
c
=λ
→
a
+µ
→
b
, then
Let A and B be two points with position vectors
→
a
 and
→
b
 respectively and let C be a point dividing AB internally and the position vector of C on AB is
→
c
=λ
→
a
+µ
→
b
, then
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
The integrating factor of the D.E. (x‌log‌x)
dy
dx
+y=2‌log‌x is
The integrating factor of the D.E. (x‌log‌x)
dy
dx
+y=2‌log‌x is
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
The function y=c1‌cos‌x+c2‌sin‌x is a solution of the DE, where c1 and c2 are real numbers
The function y=c1‌cos‌x+c2‌sin‌x is a solution of the DE, where c1 and c2 are real numbers
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
The general solution of differential equation
dy
dx
+2xy=2e−x2 is
The general solution of differential equation
dy
dx
+2xy=2e−x2 is
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
√3
∫
1
dx
1+x2
 equals
√3
∫
1
dx
1+x2
 equals
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
∫
sin2x−cos2x
sin2xcos2x
dx is equal to
∫
sin2x−cos2x
sin2xcos2x
dx is equal to
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
The integral ∫ex(1+tan‌x)‌sec‌x‌d‌x equals
The integral ∫ex(1+tan‌x)‌sec‌x‌d‌x equals
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
The area of the region bounded by the two parabolas y=x2 and y=x is
The area of the region bounded by the two parabolas y=x2 and y=x is
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
Differentiate y=sin−1(
1−x2
1+x2
),0<x<1 withrespect to x.
Differentiate y=sin−1(
1−x2
1+x2
),0<x<1 withrespect to x.
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
The total revenue in rupees received from the sale of ' x ' units of a product is given by R(x)=5x2+20x+7. The marginal revenue, when x=8 is
The total revenue in rupees received from the sale of ' x ' units of a product is given by R(x)=5x2+20x+7. The marginal revenue, when x=8 is
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
If y=ex+ex+ex+.......∞, then
dy
dx
 is equal to
If y=ex+ex+ex+.......∞, then
dy
dx
 is equal to
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
The function f(x)=√|x|−x is continuous for
The function f(x)=√|x|−x is continuous for
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
If y=√
1−x
1+x
, then (1−x2)
dy
dx
+y is
If y=√
1−x
1+x
, then (1−x2)
dy
dx
+y is
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
If the system of equations
2x+ay+6z=8
x+2y+bz=5
x+y+3z=4
has a unique solution then
If the system of equations
2x+ay+6z=8
x+2y+bz=5
x+y+3z=4
has a unique solution then
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
If a,b,c are roots of the equation x3+px+q=0, then the value of |
abc
bca
cab
| is
If a,b,c are roots of the equation x3+px+q=0, then the value of |
abc
bca
cab
| is
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
If y=sin‌m‌x, then the value of the determinant |
yy1y2
y3y4y5
y6y7y8
| where yn=
dny
dxn
 is
If y=sin‌m‌x, then the value of the determinant |
yy1y2
y3y4y5
y6y7y8
| where yn=
dny
dxn
 is
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
If A=[
23
5−2
] be such that A−1=λA. Then,the value of λ is
If A=[
23
5−2
] be such that A−1=λA. Then,the value of λ is
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
If A=[
α0
11
] and B=[
10
51
] and A2=B, then the value of α is
If A=[
α0
11
] and B=[
10
51
] and A2=B, then the value of α is
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
sin−1
8
17
+sin−1
3
5
 is equal to
sin−1
8
17
+sin−1
3
5
 is equal to
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
If sin−1x−cos−1x=
π
6
, then the value of x is
If sin−1x−cos−1x=
π
6
, then the value of x is
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
If cos−1√p+cos−1√1−p+cos−1√1−q =
3π
4
then the value of q is
If cos−1√p+cos−1√1−p+cos−1√1−q =
3π
4
then the value of q is
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
The function f(x)=cos‌x is strictly decreasingon
The function f(x)=cos‌x is strictly decreasingon
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
If ‌nP4=20×‌nP2. Then, the value of n is
If ‌nP4=20×‌nP2. Then, the value of n is
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