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The figure shows three spherical and equipotential surfaces A, B and C round a point charge q. The potential difference VA – VB = VB – VC. If t1 and t2 be the distances between them, then
Three capacitors of capacitances 1 μF, 2 μF and 4 μF are connected first in a series combination and then in a parallel combination. The ratio of their equivalent capacitances will be
A capacitor of capacitance 5 μF is connected as shown in the figure. The internal resistance of the cell is 0.5 Ω. The amount of charge on the capacitor plates is
An electric current passes through a long straight copper wire. At a distance 5 cm from the straight wire, the magnetic field is B. The magnetic field at 20 cm from the straight wire would be
The working principle of a ball point pen is
In the circuit shown below, the value of I (in ampere) is
The equivalent resistance across A and B is
A capacitor having capacitance 1 μF with air is filled with two dielectrics as shown. How many times will capacitance increase?
An electron of mass m and charge q is travelling with a speed v along a circular path of radius r at right angles to a uniform magnetic field B. If speed of the electron is doubled and the magnetic field is halved, then resulting path would have a radius of
A frog can be levitated in magnetic field produced by a current in a vertical solenoid placed below the frog. This is possible because the body of the frog behaves as
The magnetic flux linked with a coil at any instant t is given by the equation φ = 5t3 – 100t + 300. The magnitude of emf induced in the coil after 3 s is
Under the influence of a uniform magnetic field, a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion
In 0.1 s, the current in a coil increases from 1 A to 1.5 A. If inductance of the coil is 60 mH, then induced current in external resistance of 3 Ω will be
The primary and secondary coils of a transformer have 50 and 1500 turns, respectively. If the magnetic flux φ linked with the primary coil is given by φ = φ0+ 4t, where φ is in weber, t is time in second and φ0 is a constant, then the output voltage across the secondary coil is
A choke is preferred to a resistance for limiting current in AC circuit because
A man is at a height of 100 m. He sees a car which makes an angle of π/6 with the man's position. If the car moves to a point where angle is π/3, what is the distance moved by it?
At what angle will a ray of light incident on one face of an equilateral prism, so that the emergent ray may graze the second surface of the prism ( μ = 1.5)? (sin 42o = 0.67, sin 18o = 0.31, sin 28o = 0.465)
A paper, with two marks having separation d, is held normal to the line of sight of an observer at distance of 50 m. The diameter of the eye lens of the observer is 2 mm. Light wavelength 5000 Å is made to fall on the lens. The least value of d, so that the marks can be seen as separate, will be:
The refractive index of water with respect to air is 4/3 and the refractive index of glass with respect to air is 3/2. The refractive index of water with respect to glass is
The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment is
Interference was observed in an interference chamber when air was present. Now, the chamber is evacuated and if the same light is used, a careful observation will show
Hard X-rays for the study of fractures in bones should have a minimum wavelength of 10–11 m. The accelerating voltage for electrons in X-ray machine should be
Minimum excitation potential of Bohr's first orbit in hydrogen atom is:
Wavelength of light emitted from second orbit to first orbit in a hydrogen atom is
200 MeV of energy may be obtained per fission of U235. A reactor is generating 100 kW of power. The rate of nuclear fission in the reaction is:
The half-life of a radio isotope is 4 h. If initial mass of the isotope was 200 g, then mass remaining after 24 h would be
Two radioactive substances A and B have decay constants 5λ and λ, respectively. At t = 0, they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be after a time interval of
Which of the following statements is correct?
The reason(s) of current flow in p-n junction in forward bias is/are
Light of wavelength of 6000 Å has a frequency of:
The unit of luminous efficiency of electric bulb is:
The energy of a photon corresponding to the visible maximum wavelength in the visible light is nearly
If an electron has orbital angular momentum quantum number l = 7, then it will have an orbital angular momentum equal to
The velocity-time curve for a body projected vertically upwards is a/an
Glaciers melt first at the
A block B is pushed momentarily along a horizontal surface with an initial velocity v. If μ is the coefficient of sliding friction between B and the surface, the block B will come to rest after a time of
A ball of mass 2 kg moving with velocity 3 m/s collides with a spring of natural length 2 m and force constant 144 N/m. What will be the length of the compressed spring?
Point masses 1, 2, 3 and 4 kg are lying at points (0, 0, 0), (2, 0, 0), (0, 3, 0) and (– 2, – 2, 0), respectively. The moment of inertia of this system about X-axis will be
The radius of gyration of a body about an axis at a distance 6 cm from its centre of mass is 10 cm. Then its radius of gyration about a parallel axis through its centre of mass will be
The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is
If there were no atmosphere, the earth would have been
A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water?
The speed of Earth's rotation about its axis is ω. Its speed is increased to x times to make the effective acceleration due to gravity equal to zero at the equator. Then, x is
A wire can be broken by applying load of 200 N. The force required to break another wire of the same length and the same material, but double in diameter, is
If two soap bubbles of different radii are connected by a tube, then
A rectangular vessel, when full of water, takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water?
In the following question, a statement of Assertion is given, followed by a corresponding statement of Reason just below it. Read both the statements and mark your answer accordingly.
Assertion: A bubble comes from the bottom of a lake to the top. Reason: Its radius increases.
Two glass plates are separated by water. If surface tension of water is 75 dynes/cm, the area of each plate wetted by water is 8 cm2 and the distance between the plates is 0.12 mm, then the force applied to separate the two plates is
If the flux associated with a coil varies at the rate of 1 wb/min, the induced emf is
For a gas, R/Cv = 0.67. This gas is made up of molecules which are
In Carnot engine, efficiency is 40% at hot reservoir temperature T. For efficiency 50%, what will be the temperature of the hot reservoir?
The work of 146 kJ is performed in order to compress one kilo mole of a gas adiabatically and in this process, the temperature of the gas increases by 7oC. The gas is (R = 8.3J mol–1 K–1)
An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency?
A body is moving in a circular path with acceleration 'a'. If its velocity gets doubled, find the ratio of acceleration after and before the change.
If the vibrations of a rope tied by two rigid ends are shown by the equation y = cos 2πt sin 2πx, then minimum length of the rope will be
A closed organ pipe of length 20 cm is sounded with a tuning fork in resonance. What is the frequency of the tuning fork? (v = 332 m/s)
A transverse wave is represented by the following equation:
For what value of λ is the particle's maximum velocity equal to twice the wave velocity?
In a sinusoidal wave, the time required for a particular point to move from maximum displacement is 0.17 s. Then the frequency of the wave will be
Near Earth's surface, time period of a satellite is 4 hours. Find its time period at height '4R' from the centre of Earth.
Which of the following electromagnetic waves have the smallest wavelength?
The energy gaps (Eg) between valence band and conduction band for diamond, silicon and germanium are in the order:
A 5% solution (by mass) of cane sugar in water has a freezing point of 271 K and the freezing point of pure water is 273.15 K. The freezing point of a 5% solution (by mass) of glucose in water is
If 'a' is the edge length of the unit cell and 'r' is the radius of an atom, then for an fcc arrangement, the correct relation is
If ethanol dissolves in water, then which of the following would happen?
If equivalent conductance of 1 M benzoic acid is 12.8 ohm-1 cm2, and the values of conductance of benzoate ion and H+ ion respectively are 42 and 288.42 ohm-1 cm2, then its degree of dissociation is:
In the following question, two statements are given. One is assertion and the other is reason. Examine the statements carefully and mark the correct answer according to the instructions given below.
Assertion: Iron is protected from corrosion by connecting it to magnesium metal. Reason: Iron acts as cathode and magnesium acts as anode which gradually disappears.
If a substance with half-life 3 days is taken at other place in 12 days, what amount of substance is left now?
A reaction of first-order completed 90% in 90 minutes. Hence, it is completed 50% in approximately:
The movement of colloidal particles towards oppositely charged electrodes on passing electricity is known as:
Assertion: NH3 adsorbs more readily over activated charcoal than CO2. Reason: NH3 is non-polar.
Which of the following is an iron ore?
Hydrolysis of NCI3 gives NH3 and X. Which of the following is X?
Which of the following is not correct?
The strongest Bronsted base among the following anions is:
Which of the following compounds is/are coloured?
Lithopone is:
Assertion: In any transition series, the magnetic moment of M2+ ion first increases and then decreases. Reason: In any transition series, the number of unpaired electrons first increases and then decreases.
EDTA has co-ordination number:
The pair in which both species have the same magnetic moment (spin only value) is:
Lucas reagent is:
Which of the following is used in alcoholic beverages?
If heavy water is taken as solvent instead of normal water while performing Cannizzaro reaction, the products of the reaction will be:
In Benzilic Acid Rearrangement,
Which of the following products is obtained by treating 1-butyne with HgSO4 and H2SO4?
In the following question, two statements are given. One is Assertion, and the other is Reason. Examine the statements carefully and mark the correct answer according to the instructions given below.
Assertion: N-3 is a weaker base than NH-2. Reason: The lone pair of electrons on the N atom in is in the sp2 orbital; while in it is in the sp3 orbital.
Gabriel phthalimide reaction is used for the preparation of
The number of subunits present in haemoglobin is
Which one of the following statements is true for protein synthesis (translation)?
The type of linkage present in protein molecule is:
The number average molecular mass and the mass average molecular mass of a polymer are 30,000 and 40,000, respectively. The polydispersity index of the polymer is:
Polymer of monomer prop-2-enenitrile is known as:
Assertion: Bithional is added to soap for its beautification and solidification. Reason: Bithional is a sulpha drug.
The maximum concentration of nitrogen is present in
If magnetic quantum number of a given atom is represented by -3, then what will be its principal quantum number?
The number of moles of oxygen obtained by the electrolytic decomposition of 90 g water is:
The number of unpaired electrons in 1s2, 2s2, 2p3 is:
Sodium forms Na+ ion, but it does not form Na2+ because of
Which of the following is not tetrahedral?
With which of the given pairs does CO2 resemble?
Which of the following statements is incorrect?
100 ml of a gas diffuses in the same time as 75 ml of ammonia at 30oC and 743 torr. What is the molecular mass of the gas?
In the fusion of one mole of a solid melting at 27oC, the entropy change can be represented by which of the following (Latent heat of fusion = 2930 J mol–1)?
If for a given substance, melting point is TB and freezing point is TA, then the correct variation of entropy between entropy change and temperature is shown by:
Assertion: Chlorine when solidifies does not have zero entropy even at absolute zero. Reason: Chlorine is a pungent smelling gas and it is difficult to solidify it.
A solution is having hydrogen ion concentration 0.0005 g-equi/L. Its pOH is:
In which of the following reactions is the concentration of the product higher than the concentration of the reactant at equilibrium? (K = equilibrium constant)
If Ka of HCN is 4.0 x 10-10, then the pH of 2.5 x 10-1 molar aqueous HCN is
What are the products expected from the disproportionation reaction of chlorine with water?
For the reaction between KMnO4 and H2O2, the number of electrons transferred per mole of H2O2 is
Which of the following compounds is highest covalent?
Which of the following attacks glass?
The hybridisation state of carbon in fullerene is
The hybridisation state of carbon in fullerene is sp2.
Mark the incorrect statement among the following.
An organic compound X having molecular mass 60 is found to contain C = 20%, H = 6.67% and N = 46.67%, while the rest is oxygen. On heating, it gives ammonia along with a solid residue. The solid residue gives violet colour with alkaline copper sulphate solution. The compound X is:
The oxidation of toluene to benzaldehyde in presence of chromyl chloride is called:
The type of isomerism observed in urea molecule is
What is correct about the following structure?
Which of the following have highest knocking property?
The recent reports of acid rain in big industrial cities are due to the effect of atmospheric pollution by
Superficial meroblastic cleavage occurs in
Through which cell of the embryo sac does the pollen tube enter the embryo sac?
If the pollen tube enters the ovule through the funiculus, the phenomenon is known as:
Blastopore is the opening to the exterior of
Which of the following diseases is/are sexually transmitted?
Given below is a representation of a kind of chromosomal mutation. What is the kind of mutation represented?
During translation initiation in prokaryotes, a GTP molecule is needed in
Match the following:
Assertion: Mammals living in deserts contain more concentrated urine. Reason: They contain very long loop of Henle in their nephrons
Which one of the following in birds indicates their reptilian ancestry?
Blood cells that increase in number during allergic conditions like asthma are
An insect bite may result in inflammation of that spot. This is triggered by the alarm chemicals such as
AIDS is caused by HIV that principally infects
Lathyrism is caused by:
Assertion: Mast cells in the human body release excessive amounts of inflammatory chemicals which cause allergic reactions. Reason: Allergens in the environment on reaching human body stimulate mast cells in certain individuals.
Which is correctly matched?
Maximum number of antibiotics are obtained from:
Okazaki fragments form:
Gossypium hirsutum is
The genetic material of bacteria is present as:
Life period of mammalian erythrocytes is
Which of the following are plant decomposers?
Assertion: In a food chain, members of successive higher levels are fewer in number. Reason: Number of organisms at any trophic level does not depend upon the availability of organisms which serve as food at the lower level.
Flora and fauna in lake or ponds is:
According to the IUCN red list, what is the status of the red Panda (Ailurus fulgens)?
The thickness of the ozone is measured in terms of
The maintenance of internal favourable conditions by a self-regulated mechanism, in spite of the fact that there are changes in the environment, is known as
In Whittaker's system of classification, prokaryotes belong to the kingdom
In prokaryotes, chromatophores are:
An institution where valuable plant material-likely to become irretrievably lost in the wild or in cultivation is preserved in a viable condition is known as
Auxospores and hormocysts are formed, respectively, by
What is common among silver fish, scorpion, crab and honey bee?
Hydra receives impulses and stimuli through
Trimerous flower, superior ovary and axile placentation are characteristics of:
Floral formula of is characteristic of the family:
What differentiates a leaf of dicots from that of monocots?
Edible part of mango is
Microtubules are absent in
DNA is present in:
Pinocytosis and phagocytosis are absent in:
The mitotic cell cycle is divided typically into four phases: G1, S, G2 and M. Considering a mitotic cycle time of 18 hrs; the distribution of period of time (in hrs) for each of these phases will be
The rate of translocation of photosynthetic end products in sieve tubes is
Assertion: Euglena is a plant due to presence of chlorophyll. Reason: Euglena cannot be classified on the basis of two kingdom system.
Which of the following statements is correct with respect to the transport in plants through diffusion?
Certain bacteria living in the soil poor in oxygen, convert nitrates into nitrites and then to free nitrogen, and such bacteria are termed as
Which of the following is essential for root hair growth?
Energy transfer in photosynthesis in algae and cyanobacteria occurs as
The incomplete breakdown of sugars in anaerobic respiration results in the formation of:
water and CO2
Mobilisation of stored food in germinating seed is triggered by
The name of vitamin C is:
Bile helps in the digestion of fat through:
Pneumotaxic centre, which can moderate the functions of the respiratory rhythm centre, is present at
The thread like tendons of papillary muscles inserted upon the flaps of tricuspid and bicuspid valves are
Assertion: The excretory organs of lobsters are called green glands. Reason: They are called the green glands because of their colour.
Which of the following are uricotelic animals?
The potential difference across the membrane of nerve fibre when it does not show any physiological activity is called resting potential. It is about
Which one affects liver, muscle and adipose tissue?
Deforestation causes
In the following question, there is a certain relationship between two given terms on one side of (: :). One term is given on the other side of (: :), while another term is to be found from the given alternatives having the same relationship with this term as the terms of the given pair bear. Choose the best alternative.
YAWC : UESG : : QIOK : ?
Complete the following series.
A 1000, E 512, I 216, M 64, ?
Find the odd one out.
If OLYMPICS is coded as PMZNOHBR and JUMP is coded as KVLO, then how is COMPUTER coded?
Looking at a portrait of a woman, Armaan said, "Her mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Armaan looking?
Which of the following cannot be the possible number of 100-rupee notes with Farrel?
In the following question, two statements are followed by two conclusions numbered I and II. You have to consider everything given in the statements to be true, although they may seem to be at variance from the commonly accepted facts, and then decide which of the given conclusions logically follow(s) the statements.
Statements: Some men are women. All men are owls. Conclusions: I. Some owls are women. II. No women is an owl.
Select a suitable figure from the four given alternatives that would complete the following figure matrix:
If Gaurav and Eric purchased an article worth Rs. 1000 and paid only in 100-rupee notes for the article, then the total number of 100-rupee notes left with them after purchasing the article was
The idea that what one eats has an effect on one's susceptibility to a disease, like cancer, is
Human cells become more susceptible to cancer because of
The virulence of malignant tumours can be reduced with the help of
Cells which subsequently become cancerous can be inhibited by
Out of the four alternatives, choose the one which best expresses the meaning of the given word.
WEIRD
Out of the four alternatives, choose the correct antonym of the given word.
FRUGAL
PERILOUS
Four alternatives are given for the idiom/phrase underlined in the sentence. Choose the alternative which best expresses its meaning.
Pannikar is one of the few officers who are above board.
In the given question, a sentence/part of the sentence is underlined. Below are given alternatives to the underlined part as (1), (2) and (3), which may improve the sentence. Choose the correct alternative. In case 'no improvement' is needed, your answer is (4).
While we would like that all Indian children to go to school, we need to ponder why they do not.
In the given question, rearrange the parts - P, Q, R and S - to make the sentence meaningful. Four alternatives are given below. Choose the option with correct sequence.
Kapil, left in an aeroplane (P)/ after reading a sailing magazine (Q)/ had decided (R)/ to build his own boat nine years earlier (S)
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after a time interval of
is in the sp2 orbital; while in 
it is in the sp3 orbital.
is characteristic of the family:
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