subject stringclasses 4
values | question stringlengths 12 832 | option_a stringlengths 1 130 | option_b stringlengths 1 185 | option_c stringlengths 1 180 | option_d stringlengths 1 178 | correct_answer stringclasses 4
values | solution stringclasses 1
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|---|---|---|---|---|---|---|---|
Physics | Intrinsic semiconductor is electrically neutral. Extrinsic semiconductor having large number of current carriers would be | positively charged | negatively charged | positively charged or negatively charged depending upon the type of impurity that has been added | electrically neutral | D | |
Physics | Inductive effect refers to: | electron displacement along a carbon chain | complete transfer of one of the shared pair of electrons to one of the atoms joined by a double bond | compelete transfer of electrons hitherto unshared | none of the above | A | |
Physics | In which of the following cases forces are not required. To keep the: | particle going in a circle | particle going along a straight line | momentum of the particle is constant | acceleration of the particle is constant | C | |
Physics | Which of the following statements is NOT a correct assumption of the model of an ideal monatomic gas? | The atoms are constantly moving. | The collision between atoms create pressure directly on the container of the gas. | The collision between atoms are elastic. | The only significant forces acting on the atoms are those that are applied as a result of collisions. | B | |
Physics | Find out the relationship between the frequency and amplitude of a sound wave? | Frequency is proportional to amplitude | Frequency is proportional to the square of the amplitude | Frequency is inversely proportional to amplitude | Frequency and amplitude are independent | D | |
Physics | The intensity of radiation emitted by the sun has its maximum value at a wavelength of $$510\ nm$$ and that emitted by the North Star has the maximum value at $$350\ nm$$. If these stars behave like black bodies, the ratio of the surface temperature of the sun and the North Star is | $$1.46$$ | $$0.69$$ | $$1.21$$ | $$0.83$$ | B | |
Physics | A man in a minivan rounds a circular turn at a constant speed.
Which of the following would cause the minivan to experience less acceleration? | Traveling faster | Traveling around a turn with a smaller circular radius | Traveling with more weight in the van | Traveling around a turn with a greater circular radius | D | |
Physics | A steel vessel of capacity 22.4 litre contains 2 g of hydrogen, 8g of oxygen and 22g of carbon dioxide at a temperature of $${0^o}$$C. The total pressure of the gas is: | 1.75 atm | 1.25 atm | 1.50 atm | 1.00 atm | A | |
Physics | The bodies of masses 2m and m have their kinetic energies in the ratio 8 : 1. Then the ratio of their momentum is: | 01:01:00 | 02:01:00 | 04:01:00 | 08:01:00 | C | |
Physics | If the door of a refrigerator is kept open then which of the following is true | Room is cooled | Room is heated | Room is either cooled or heated | Room is neither cooled nor heated | B | |
Physics | When a bicycle is in motion, the face of friction exerted by the ground on the two wheels is such that it acts. | In the backward direction on the front wheel and in the forward direction on the rear wheel | In the forward direction on the front wheel and in the backward direction on the rear wheel | In the backward direction on both front and the rear wheels | In the forward direction on both front and the rear wheels | A | |
Physics | ____________ is the principle reaction responsible for the energy output of the Sun. | Gamma decay | Nuclear fusion | Alpha decay | Positron emission | B | |
Physics | What is the mirror image of $$2 : 39$$ in the clock? | $$9 : 21$$ | $$10 : 21$$ | $$9 : 31$$ | $$8 : 21$$ | A | |
Physics | A convex lens of focal length $$0.5 m$$ and concave lens of focal length $$1 m$$ are combined. The power of the resulting lens will be. | $$0.5 D$$ | $$-1 D$$ | $$1 D$$ | $$-0.5 D$$ | C | |
Physics | A bulb rated 240 V, 100 W is connected to a 120 V supply. Which of the following is correct? | The bulbs fuses | The bulb is lighted but is dim | The bulb lights up to normal brightness | The bulb lighted initially then fuses away | B | |
Physics | What is the term for a magazine that is published on the computer? | Computerized slide show | online publication. | electronic bulletin board | electronic portfolio. | A | |
Physics | Which one of the following pairs is obtained on heating ammonium dichromate? | $$N_2$$ and $$H_2$$O | $$H_2$$O and $$H_2$$O | $$NO_2$$ and $$H_2$$O | NO and $$NO_2$$ | A | |
Physics | The image formed by the eye lens on the retina is. | Real, upright and enlarged | Real, upright and diminished | Real, inverted and diminished | Virtual, inverted and diminished | C | |
Physics | How will the image formed by a convex lens be affected if the central portion of lens is wrapped in black paper? | No image is formed by the remaining portion of lens. | There will be no effect. | The full image will be formed but it will be less bright. | The central portion of the image will be absent. | C | |
Physics | When a centimeter thick surface is illuminated with light of wavelength $$\lambda$$, the stopping potential is V. When the same surface is illuminated by light of wavelength $$2\lambda$$, the stopping potential is V/3. Threshold wavelength for the metallic surface is: | $$4\lambda /3$$ | $$4\lambda$$ | $$6\lambda$$ | $$8\lambda /3$$ | B | |
Physics | A dielectric slab is inserted between the plates of an isolated capacitor. The force between the plates will | increase | decrease | remain unchanged | become zero | C | |
Physics | Equal forces F act on isolated bodies A and B. The mass of B is three times that of A. The magnitude of the acceleration of A is | three times that of B | 1/3 that of B | the same as B | nine times that of B | A | |
Physics | Select the species which are isoelectronic. | $$F^-,Mg^{2+}$$ | $$Ar, K$$ | $$Mg^{2+},O^-$$ | $$Rb^+, Ar$$ | A | |
Physics | The velocity-time graph for a body with non uniform motion is a : | straight line | straight line parallel to the x-axis | straight line parallel to the y-axis | curved line | D | |
Physics | Clinical thermometers are made up of glass. The important characteristic(s) considered for this selection is/are: | it is a bad conductor of heat | it is transparent | both $$A$$ & $$B$$ | it is strong | C | |
Physics | Beats are heard due Ito interference of two sound waves. The intensity of sound changes from maximum to minimum in 100 ms. Therefore, the difference in frequencies of the two waves is | 10 Hz | 5 Hz | 2.5 Hz | 20 Hz | B | |
Physics | For an isolated system in the absence of any dissipative effect | $$KE$$ is conserved | $$PE$$ is conserved | energy is conserved | $$ME$$ is conserved | D | |
Physics | Two waves have their amplitudes in the ratio $$ 1 : 9 $$ .The maximum and minimum intensities when they interfere are in the ratio | $$ \dfrac{25}{16} $$ | $$ \dfrac{16}{26} $$ | $$ \dfrac{I}{9} $$ | $$ \dfrac{9}{1} $$ | A | |
Physics | The surface tension of the liquid at its boiling point | becomes zero | becomes infinity | is equal to the value at room temperature | is half to the value at room temperature | A | |
Physics | The potential energy of a particle executing SHM along the x-axis is given by $$U=U_0-U_0\cos ax$$. What is the period of oscillation? | $$2\pi\sqrt{\dfrac{ma}{U_o}}$$ | $$1.25$$kg | $$\dfrac{2\pi}{a}\sqrt{\dfrac{m}{U_o}}$$ | $$2\pi\sqrt{\dfrac{m}{aU_o}}$$ | C | |
Physics | In which of the following orbital, electron will be closer to the nucleus? | $$6s$$ | $$4f$$ | $$5d$$ | $$6p$$ | B | |
Physics | For motion in a plane with constant acceleration $$\vec{a}$$, non zero initial velocity $$\vec{v}_{0}$$ and final velocity $$\vec{v}$$ after time $$t$$: | $$\vec{v}.(\vec{v}-\vec{a}t)=\vec{v}_{0}.(\vec{v}_{0}+\vec{a}t)$$ | $$\vec{v}.\vec{v}_{0}=at^{2}$$ | $$\vec{v}.\vec{v}_{0}=\vec{a}.\vec{v}_{0}t$$ | $$\vec{v}_{0}.\vec{v}_{0}=\vec{a}.\vec{v}_{0}t$$ | A | |
Physics | Which of the following quantities do not change when a resistor connected to a battery is heated due to the current? | Drift speed | Resistivity | Resistance | Number of free electrons | D | |
Physics | In the ideal double slit experiment when a glass-plate (refractive index $$1.5$$) of thickness $$t$$ is introduced in the path of one of the interfering beams (wavelength $$\lambda$$), the intensity at the position where the central maximum occurred previously remain unchanged. The minimum thickness of the glass plate ... | $$2\lambda$$ | $$\cfrac { 2\lambda }{ 3 } $$ | $$\cfrac { \lambda }{ 3 } $$ | $$\lambda$$ | A | |
Physics | Two moles of an ideal monoatomic gas occupies a volume V at $$27^o$$C. The gas expands adiabatically to a volume $$2$$V. Calculate (a) the final temperature of the gas and (b) change on its internal energy. | (a) $$189$$K (b) $$-2.7$$ kJ | (a) $$195$$K (b) $$2.7$$ kJ | (a) $$189$$K (b) $$2.7$$kJ | (a) $$195$$k (b) $$-2.7$$kJ | A | |
Physics | A ball of mass $$2$$kg and another of mass $$4$$ kg are dropped together from a $$60$$ feet tall building. After a fall of $$30$$ feet each towards earth, their respective kinetic energies will be in the ratio of? | $$\sqrt{2}:1$$ | $$1:4$$ | $$1:2$$ | 1:โ2 | C | |
Physics | A compound microscope is used to enlarge an object kept at a distance $$0.03\ m$$ from it's objective which consists of several convex lenses in contact and has focal length $$0.02\ m$$. If a lens of focal length $$0.1\ m$$ is removed from the objective, then by what distance the eye piece of the microscope must be mov... | $$2.5\ cm$$ | $$6\ cm$$ | $$15\ cm$$ | $$9\ cm$$ | D | |
Physics | The image of the pair of lines represented by $$ax^2+2h\ xy+by^2=0$$ by the line mirror $$y=0$$ is | $$ax^2-2h\ xy-by^2=0$$ | $$bx^2-2h\ xy+ay^2=0$$ | $$bx^2+2h\ xy+ay^2=0$$ | $$ax^2-2h\ xy+by^2=0$$ | D | |
Physics | Which one of the following compounds on strong heating evolves ammonia gas? | $$(NH_{4})_{2}SO_{4}$$ | $$NH_4NO_{3}$$ | $$(NH_{4})_{2}Cr_{2}O_{7}$$ | $$NH_{4}NO_{2}$$ | A | |
Physics | A substance breaks down by a stress of $$10^6n/m^2.$$ If the density of the material of the wire is $$3\times10^3kg/m^3$$, then the length of the wire of the substance which will break under its own weight when suspended vertically. is | $$66.6m$$ | $$60.0m$$ | $$33.3m$$ | $$30.0m$$ | C | |
Physics | A Galileo telescope has an objective of focal length $$100$$ cm & magnifying power $$50$$. The distance between the two lenses in normal adjustment will be? | $$150$$ cm | $$100$$ cm | $$98$$ cm | $$200$$ cm | C | |
Physics | `Look at the classification table below. Which of the following sets of headings is correct?
I II III
oil snow wind
paint rayon oxygen | $$I-$$gas, $$II-$$liquid, $$III-$$ solid | $$I-$$liquid, $$II-$$gas, $$III-$$solid | $$I-$$liquid, $$II-$$solid, $$III-$$gas | $$I-$$solid, $$II-$$gas, $$III-$$liquid | C | |
Physics | The magnifying power of an astronomical telescope is $$8$$, then the ratio of the focal length of the objective to the focal length of the eyepiece is : (final image is at $$\infty$$) | $$8$$ | $$\displaystyle\frac{1}{8}$$ | $$0.45$$ | None of these | A | |
Physics | The frequency of incident light falling on a photosensitive metal plate is doubled, the KE of the emitted photoelectrons is | Double the earlier value | Unchanged | More then doubled | Less than doubled | C | |
Physics | Complete the following statement. Each and every person on earth is made of atoms that originated in | the food we eat | the ancient stars | our mother's body | the oceans | B | |
Physics | Two thin lenses of focal lengths 20 cm and 25 cm are placed in contact. The effective power of the combination is | $$\displaystyle \dfrac { 1 }{ 9 } \ diopters$$ | $$45 \ diopters$$ | $$6 \ diopters$$ | $$9 \ diopters$$ | D | |
Physics | The atomic number of magnesium is 12. How many electrons and protons does an ion of magnesium which has a charge of +2 contain? | 10, 10 | 10, 13 | 11, 12 | 10, 12 | D | |
Physics | A charged particle is moving in a circular orbit in a magnetic field. If the strength of the magnetic field doubles, how does the radius of the particles orbit change? | It is quartered | It is halved | It is unchanged | It is doubled | B | |
Physics | Certain amount of an ideal gas are contained in a closed vessel. The vessel is moving with a constant velocity v. The molecular mass of gas is M. The rise in temperature of the gas when the vessel is suddenly stopped is $$ ( \gamma = C_p /C_v ) $$ | $$ \dfrac {Mv^2}{ 2R ( \gamma - 1) } $$ | $$ \dfrac {Mv^2 ( \gamma -1)}{2R} $$ | $$ \dfrac {Mv^2}{2 R \gamma } $$ | $$ \dfrac {Mv^2 \gamma}{2R (\gamma -1 ) } $$ | B | |
Physics | If a surface has work function of 3.00 eV, the longest wavelength of light which will cause the emission of electrons is | $$4.8\times 10^{-7}m$$ | $$5.99\times 10^{-7}m$$ | $$4.13\times 10^{-7}m$$ | $$6.84\times 10^{-7}m$$ | C | |
Physics | In a transformer, the number of turns of primary coil and secondary coil are 5 and 4 respectively. If 220 V is applied on the primary coil, then the ratio of primary current to the secondary current is : | 04:05:00 | 05:04:00 | 05:09:00 | 09:05:00 | A | |
Physics | In Young's double-slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength $$600nm$$ is used. If the wavelength of light is changed to $$400nm$$, the number of fringes observed in the same of the screen is given by | $$12$$ | $$18$$ | $$24$$ | $$30$$ | B | |
Physics | The frequency of a radar is $$ 780\,MHz $$ . After getting reflected from an approaching aeroplane, the apparent frequency is more than the actual frequency by $$ 2.6\,kHz $$ . The aeroplane has a speed of | $$ 2\,km/s $$ | $$ 1 \,km/s $$ | $$ 0.5\,km/s $$ | $$ 0.25\,km/s $$ | C | |
Physics | The standard hydrogen electrode has zero electrode potential because: | hydrogen is easiest to oxidize | this electrode potential is assumed to be zero | hydrogen atom has only one electron | hydrogen is lightest element | B | |
Physics | If it is safe to jump from a height of $$2 m$$ on to the earth, what would be the safe height on a planet where the value of '$$g$$' is $$1.96 m {s}^{-2}$$? | $$2 m$$ | $$4 m$$ | $$6 m$$ | $$10 m$$ | D | |
Physics | A person in a lift is holding a water jar, which has a small hole at the lower end of its side. When the lift is at rest, the water jet coming out of the hole hits the floor of the lift at a distance $$d$$ of $$1.2 m$$ from the person. In the following, state of the lift's motion is given in List I and the distance whe... | P-2, Q-3, R-2, S-4 | P-2, Q-3, R-1, S-4 | P-1, Q-1, R-1, S-4 | P-2, Q-3, R-1, S-1 | C | |
Physics | Three morphological forms of Golgi complex are | Lamellae, tubules and vesicles | Cisternae, tubules and vesicles | Cisternae, tubules and lamellae | Granum, thylakoids and vesicles | B | |
Physics | The removal of nitrogenous wastes from the body is carried out by | Urinary system | Lymphatic system | Circulatory system | Respiratory system | A | |
Physics | The photoelectric work function for a metal surface is 4.125 eV. The cut-off wavelength for this surface is: | $$4125 A^o$$ | $$3000 A^o$$ | $$6000 A^o$$ | $$2062 A^o$$ | B | |
Physics | How does the force of gravitation, between two bodies change when the distance between them is reduced to half? | It is halved | It is doubled | It is quadrupled | It remains unaffected | C | |
Physics | A rocket is going towards moon with a speed $$v$$. The astronaut in the rocket sends signals of frequency $$v$$ towards the moon and receives them back on reflection from the moon. What will be the frequency of the signal received by the astronaut ( Take $$v < < c$$) | $$\dfrac{c}{c-v}v$$ | $$\dfrac{c}{c-2v}v$$ | $$\dfrac{2v}{c}v$$ | $$\dfrac{2c}{v}v$$ | B | |
Physics | Ciliated organ of Muller is | Velum | Wheel organ | Branchial sac | None of the above | B | |
Physics | A point mass $$M$$ is at a distance $$S$$ from an infinitely long and thin rod of linear density $$D$$. If $$G$$ is the gravitation constant then gravitational force between the point mass and the rod is | $$2\frac{MGD}{S}$$ | $$\frac{MGD}{S}$$ | $$\frac{MGD}{2S}$$ | $$\frac{2}{3}\frac{MGD}{S}$$ | A | |
Physics | Mean free path does not depend on | $$\rho $$ | T | d | b | D | |
Physics | If a satellite is revolving very close to the surface of earth, then its orbital velocity does not depend upon. | mass of satellite | mass of earth | radius of earth | orbital radius | A | |
Physics | Visible light consists of rays with wavelengths in the approximate range of: | $$4000 \mathring{A}$$ to $$7500 \mathring{A}$$ | $$4 \times {10}^{-3} cm$$ to $$7.5 \times {10}^{-4} cm$$ | $$4000 nm$$ to $$7500 nm$$ | $$4 \times {10}^{-5} m$$ to $$7.5 \times {10}^{-6} m$$ | A | |
Physics | Which of the following is correct ? | $$ \lambda $$ blue > $$ \lambda $$ yellow > $$ \lambda $$ green | $$ \lambda $$ yellow > $$ \lambda $$ green > $$ \lambda $$ blue | $$ \lambda $$ yellow > $$ \lambda $$ blue > $$ \lambda $$ green | $$ \lambda $$ green > $$ \lambda $$ blue > $$ \lambda $$ yellow | B | |
Physics | The initial velocity of a particle is $$u$$ $$(at\;t=0)$$ and the acceleration is given by $$f =at$$. Which of the following relations is valid? | $$v=u+at^{2}$$ | $$\displaystyle v=u+\frac{at^{2}}{2}$$ | $$v=u+at$$ | $$v=u$$ | B | |
Physics | The sum of last ten coeffficients in the expansion of $$(1+x)^{19}$$ when expanded in ascending powers of $$x$$ is | $$2^{18}$$ | $$2^{19}$$ | $$2^{18}-$$$$^{19}\textrm{C}_{10}$$ | none of these | A | |
Physics | In young's double slit experiment , the intensity of light coming form the first slit is double the intensity from the second slit.The ratio of the maximum intensity to the minimum intensity on the interference fringe pattern observed is. | 34 | 40 | 25 | 38 | A | |
Physics | Which of the following is true about gaseous state? | Thermal energy = Molecular attraction | Thermal energy >> Molecular attraction | Thermal energy << Molecular attraction | Molecular forces >> Those in liquids | B | |
Physics | A simple LR circuit is connected to a battery at time $$t=0$$. The energy stored in the inductor reaches half its maximum value at time | $$\dfrac {R}{L}\ln\left [\dfrac {\sqrt 2}{\sqrt 2-1}\right ]$$ | $$\dfrac {L}{R}\ln\left [\dfrac {\sqrt 2-1}{\sqrt 2}\right ]$$ | $$\dfrac {L}{R}\ln\left [\dfrac {\sqrt 2}{\sqrt 2-1}\right ]$$ | $$\dfrac {R}{L}\ln\left [\dfrac {\sqrt 2-1}{\sqrt 2}\right ]$$ | C | |
Physics | The inert gas obtained from monazite sand is: | He | Ne | Ar | Kr | A | |
Physics | A heavy steel ball of mass greater than 1 kg moving with a speed of 2m/ s collides head on with a stationary ping pong ball of mass less than 0.1 g. The collision is elastic. After the collision the ping pong ball moves approximately with a speed | $$ 2 m / s $$ | $$4 m/ s$$ | $$2\times10^{4}m / s$$ | $$2\times10^{3}m / s$$ | B | |
Physics | A telephone link operating at a central frequency of $$ 10 GHz $$ is established If 1% this available when how many telephone channels can be simultaneously given when each telephone covering a band width of 5 kHz | $$ 2 \times 10^4 $$ | $$ 2 \times 10^6 $$ | $$ 5 \times 10^4 $$ | $$ 5 \times 10^6 $$ | A | |
Physics | What happens to its kinetic energy, when the speed of car gets doubled? | It is quartered | It is halved | It is unchanged | It is quadrupled | D | |
Physics | What is the resistance of a carbon resistance which has bands of colour brown, black and brown? | 1$$\Omega $$ | 10 $$\Omega $$ | 100 $$\Omega $$ | 1000 $$\Omega $$ | C | |
Physics | A cylinder with circular cross-section is the appropriate Gaussian surface to use when analyzing all of the following charge distributions EXCEPT | A long, straight charged wire | A point charge | The inside of a uniformly charged, insulated rod | The inside of a charged, insulated rod whose charge density varies with radius | B | |
Physics | If we consider molecules of an ideal gas in a box with a frictionless piston and now the box is heated and piston moves slowly outwards then: | the force on piston is due to molecular collision with piston | the molecules collide with piston and return back with same speed | the molecular collision with piston is inelastic | both (a) and (b) are correct | D | |
Physics | Which best characterizes the overall relationship between the two passages? | Passage 2 rejects the political goals that are described in Passage 1. | Passage 2 helps account for the responses to a speech discussed in Passage 1. | Passage 2 romanticizes a person who is objectively depicted in Passage 1. | Passage 2 recounts the history of a national holiday that is celebrated in Passage 1. | B | |
Physics | X-rays induce mutagenic changes mainly by _____________. | Transitions | Tran versions | Frame-shifting | Chromosomal breakage | D | |
Physics | The description in lines 35-45 (She . . . two!) primarily serves to | suggest that Georgia envied those women who did not have to work | imply that Georgia would be unlikely ever to consider working as a reporter again | indicate the role that weather plays in the everyday life of a reporter | show the adversities Georgia had to overcome as a reporter | D | |
Physics | An object of length $$6\ cm$$ is placed on the principle axis of a concave mirror of focal length $$f$$ at a distance of $$4\ f$$. The length of the image will be | -$$2\ cm$$ | $$12\ cm$$ | $$4\ cm$$ | $$1.2\ cm$$ | A | |
Physics | Which of the following substances does not burn with a flame? | LPG | Camphor | Dry grass | Charcoal | D | |
Physics | $$\alpha$$-particle is equivalent to. | Proton | Electron | Neutron | Helium nucleus | D | |
Physics | A hollow metal sphere of radius $$10$$cm is charged such that the potential on its surface becomes $$80$$V. The potential at the centre of the sphere is? | $$80$$V | $$800$$V | $$8$$V | Zero | A | |
Physics | If no external voltage is applied across $$P-N$$ junction, there would be | No electric field across the junction | An electric field pointing from $$N-$$ type to $$P-$$ type side across the junction | An electric field pointing from $$P-$$ type to $$N-$$ type side across the junction | A temporary electric field during formation of $$P-N$$ junction that would subsequently disappear | B | |
Physics | What is the principal quantum number for the last electron that is added to potassium? | True | 2 | 3 | 4 | D | |
Physics | Photoelectrons are removed with kinetic energy $$1.864\times { 10 }^{ -21 }J$$ when photons of light with energy $$4.23\times { 10 }^{ -19 }J$$ fall on the metal. What is the minimum energy required per mole to remove an electron from potassium metal? | 253.6 J/mol | 326 KJ/mol | 253.6 KJ/mol | 453 KJ/mol | C | |
Physics | What will be observed if gas $$X$$ is bubbled into limewater? | It turns milky | It decolurises | It turns violet | It turns red | A | |
Physics | Find the period of revolution for the sphere | $$\pi \sqrt {10}s$$ | $$\pi \sqrt {5}s$$ | $$2\pi /\sqrt {10}s$$ | $$\pi / \sqrt {5}s$$ | C | |
Physics | A charged particle moves through a magnetic field in a direction perpendicular to it. Then the | speed of the particle remains unchanged | direction of the particle remains unchanged | acceleration remains unchanged | velocity remains unchanged | A | |
Physics | What length of the wire of specific resistance $$48 \times10^{-8}\Omega$$- m is needed to make a resistance of $$4.2\Omega$$(diameter of wire $$=0.4$$mm) | 4.1m | 3.1m | 2.1m | 1.1m | D | |
Physics | Calorie is defined as the amount of heat required to raise temperature of $$1\ g$$ of water by $$1^{\circ}C$$ and it is defined under which of the following conditions? | From $$14.5^{\circ}C$$ to $$15.5^{\circ}C$$ at $$760\ mm$$ of $$Hg$$ | From $$98.5^{\circ}C$$ to $$99.5^{\circ}C$$ at $$760\ mm$$ of $$Hg$$ | From $$13.5^{\circ}C$$ to $$14.5^{\circ}C$$ at $$76\ mm$$ of $$Hg$$ | From $$3.5^{\circ}C$$ to $$4.5^{\circ}C$$ at $$76\ mm$$ of $$Hg$$ | A | |
Physics | Which of the following molecular species has unpaired electron(s) ? | N2 | F2 | Oโ2 | C2C2 | C | |
Physics | The electromagnetic waves of frequency $$2\ MHz$$ to $$30\ MHz$$ are | in ground wave propagation | In sky wave propagation | in microwave propagation | In satellite communication | B | |
Physics | If electricity costs 10 cents per coulomb then which of the following would have the highest cost per mole? | Copper from $$\displaystyle Cu{ SO }_{ 4 }$$ | Sodium from $$\displaystyle NaCl$$ | Chlorine from $$\displaystyle KCl$$ | Iron from $$\displaystyle Fe{ Cl }_{ 3 }$$ | D | |
Physics | A body moves with uniform velocity of $$u=7\;m/s$$ from $$t=0\;to\;t=1.5 s$$. It starts moving with an acceleration of $$10\;m/s^{2}$$. The distance between $$t=0\;to\;t=3s$$ will be: | 47.75 m | 32.25 m | 16.75 m | 27.50 m | B | |
Physics | An AC source of angular frequency $$\omega $$ is fed across a resistor R and a capacitor C in series. The current registered is I. If now the frequency of source is changed to $$\omega /3$$ (but maintaining the same voltage), the current in the circuit is found to be halved. The ratio of reactance to resistance at the ... | $$\sqrt{\dfrac{3}{5}}$$ | $$\sqrt{\dfrac{5}{3}}$$ | $$\dfrac{3}{5}$$ | $$\dfrac{5}{3}$$ | A | |
Physics | At STP, a container has $$1$$ mole of $$Ar$$, $$2$$ moles of $$CO_{2}, 3$$ moles of $$O_{2}$$ and $$4$$ moles of $$N_{2}$$. Without changing the total pressure of $$O_{2}$$ is removed, the partial pressure of $$O_{2}$$ is: | changed by about $$16$$%. | halved. | changed by $$26$$%. | unchanged. | C |
NalandaJEENEETBench: JEE & NEET STEM Evaluation Benchmark
The first open benchmark for evaluating LLMs on Indian competitive exam questions (JEE Mains, JEE Advanced, NEET UG).
NalandaJEENEETBench is a curated sample from Nalanda Data's proprietary dataset of 116,000+ expert-curated JEE and NEET examination questions with verified correct answers and step-by-step solutions.
What's Inside
| Split | Questions | Content | Purpose |
|---|---|---|---|
benchmark |
800 | MCQs with correct answers (no solutions) | Evaluate your model on JEE/NEET |
train_sample |
500 | MCQs with correct answers + full step-by-step solutions | Preview our training data quality |
Both splits are balanced across 4 subjects: Physics, Chemistry, Mathematics, Biology.
Why This Benchmark Matters
There is no standard evaluation suite for Indian competitive exams. MMLU covers Western curricula. NalandaJEENEETBench fills this gap:
- 800 held-out MCQs across the full JEE/NEET syllabus
- Verified correct answers โ every question has been expert-validated
- LaTeX math notation โ proper representation of equations and formulas
- Balanced subjects โ 200 questions per subject in the benchmark split
Proven Results
We used the full 116K dataset (not this sample) to fine-tune Qwen 2.5 7B using a two-stage GRPO pipeline. The fine-tuned model is available at Nalandadata/nalanda-qwen-7b-grpo.
Results on NalandaJEENEETBench (this benchmark)
| Subject | Qwen 7B Baseline | Llama 70B Baseline | + Our Data (7B) | Improvement |
|---|---|---|---|---|
| Physics | 51.0% | 59.0% | 65.0% | +14.0pp |
| Chemistry | 61.5% | 70.0% | 71.5% | +10.0pp |
| Mathematics | 56.0% | 57.5% | 64.5% | +8.5pp |
| Biology | 73.5% | 66.5% | 77.5% | +4.0pp |
| Overall | 60.5% | 63.2% | 69.6% | +9.1pp |
A 7B model fine-tuned on our data outperforms a 70B model across all STEM subjects. The data is the differentiator.
Quick Start
Evaluate your model
from datasets import load_dataset
# Load the benchmark
bench = load_dataset("Nalandadata/NalandaJEENEETBench", split="benchmark")
for q in bench:
prompt = (
f"Question: {q['question']}
"
f"(A) {q['option_a']}
"
f"(B) {q['option_b']}
"
f"(C) {q['option_c']}
"
f"(D) {q['option_d']}
"
f"Think step by step. State your final answer as A, B, C, or D."
)
# Run your model on `prompt`
# Compare output to q['correct_answer']
Preview training data quality
# Load the training sample (includes step-by-step solutions)
train = load_dataset("Nalandadata/NalandaJEENEETBench", split="train_sample")
for q in train.select(range(5)):
print(f"[{q['subject']}] {q['question'][:100]}...")
print(f"Answer: ({q['correct_answer']})")
print(f"Solution: {q['solution'][:200]}...")
print("---")
Data Schema
benchmark split
| Column | Type | Description |
|---|---|---|
subject |
string | Physics, Chemistry, Maths, or Biology |
question |
string | Question text (may contain LaTeX) |
option_a |
string | Option (A) |
option_b |
string | Option (B) |
option_c |
string | Option (C) |
option_d |
string | Option (D) |
correct_answer |
string | Correct option letter (A, B, C, or D) |
train_sample split
Same as benchmark, plus:
| Column | Type | Description |
|---|---|---|
solution |
string | Full step-by-step solution with reasoning |
The Full Dataset
This is a sample. The full Nalanda Data question bank contains:
| Property | Value |
|---|---|
| Total questions | 116,000+ |
| Physics | 27,800+ |
| Chemistry | 52,500+ |
| Mathematics | 25,700+ |
| Biology | 9,900+ |
| Format | MCQ with verified correct answers + step-by-step solutions |
| Notation | LaTeX mathematical notation throughout |
| Sources | JEE Mains, JEE Advanced, NEET UG, Board Exams |
| Quality | Expert-curated, subject-label verified, deduplicated |
What makes the full dataset valuable for AI training
- Verified correct answers โ enables reinforcement learning (GRPO/DPO/PPO), not just SFT
- Step-by-step solutions โ teaches reasoning chains, not just answer selection
- LaTeX math notation โ proper STEM representation that models can learn from
- Proven results โ demonstrated +9.1pp improvement on a 7B model, outperforming 70B baselines
- Competitive moat โ proprietary data that cannot be scraped or replicated
Licensing
The full dataset is available for licensing. Use cases include:
- Foundation model pre-training โ enrich STEM reasoning in base models
- Supervised fine-tuning โ domain adaptation for education and tutoring
- Reinforcement learning โ GRPO/DPO with verified correct answers as reward signal
- Evaluation โ benchmark your models on Indian competitive exam performance
- EdTech products โ power AI tutoring, question generation, and adaptive learning
Contact
For licensing inquiries, partnerships, and API access:
๐ง info@nalandadata.ai ๐ nalandadata.com
Citation
If you use NalandaBench in your research, please cite:
@misc{nalandabench2026,
title={NalandaJEENEETBench: A JEE and NEET STEM Evaluation Benchmark for Large Language Models},
author={Nalanda Data},
year={2026},
url={https://huggingface.co/datasets/Nalandadata/NalandaJEENEETBench},
note={Sample from 116K+ expert-curated Indian competitive exam questions. Part of the NalandaBench suite.}
}
Related
- Fine-tuned model: Nalandadata/nalanda-qwen-7b-grpo โ Qwen 2.5 7B fine-tuned on the full dataset
- Paper: Coming soon โ "Domain Data Drives LLM Fine-Tuning Performance: Lessons from 116K JEE/NEET Questions"
License
This sample dataset is released under CC BY-NC 4.0 (Creative Commons Attribution-NonCommercial). You may use it for research and evaluation. Commercial use of the full dataset requires a license from Nalanda Data.
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