Q01. Which of the following carbide produces acetylene on hydrolysis?
A Al₄C₃ B Mg₂C₃ C CaC₂ D Be₂C E Question not attempted
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Correct answer: CaC₂
Q02. Predict the major product of the following reaction: Benzene + 6Cl₂ —(Anhy. AlCl₃, Dark, Cold)→ ?
A Hexachlorobenzene B Hexachlorocyclohexane C Chlorobenzene D 1,3,5-Trichlorobenzene E Question not attempted
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Correct answer: Hexachlorobenzene
Q03. The energy of a system as a function of time t is given as E(t) = B² exp(−βt), where β = 0.2 s⁻¹. The measurement of B has an error of 1.25%. If the error in measurement of time is 1.5%, the maximum percentage error in the value of E(t) at t = 5 s will be:
A 2% B 2.75% C 3% D 4% E Question not attempted
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Correct answer: 4%
Q04. The given reaction CH₂=CH₂ + H–Br → CH₃CH₂Br is an example of:
A Electrophilic substitution reaction B Electrophilic addition reaction C Nucleophilic substitution reaction D Nucleophilic addition reaction E Question not attempted
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Correct answer: Electrophilic addition reaction
Q05. Figure shows the velocity-displacement graph of a particle moving in a straight line. The most appropriate acceleration-displacement graph will be: [Figure as shown in question paper]
A Figure option (1) — as shown in question paper B Figure option (2) — as shown in question paper C Figure option (3) — as shown in question paper D Figure option (4) — as shown in question paper E Question not attempted
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Correct answer: Figure option (1) — as shown in question paper
Q06. A 200 kg rocket is set for vertical firing. If exhaust velocity is 750 m/s and fuel is consumed at the rate of 4 kg/s, the acceleration of rocket after 10 s will be: (Take g = 10 m/s²)
A 8.75 m/s B 7.25 m/s C 5.00 m/s D 3.75 m/s E Question not attempted
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Correct answer: 8.75 m/s
Q07. The value of |a⃗| and |b⃗| if (a⃗ + b⃗) · (a⃗ − b⃗) = 12 and |a⃗| = 2|b⃗|, are respectively:
A 2, 1 B 4, 2 C 6, 3 D 8, 4 E Question not attempted
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Correct answer: 4, 2
Q08. Consider the following statements in context of work energy theorem and choose the correct option:
Statement A: The work energy theorem is independent of Newton's Second Law.
Statement B: The work energy theorem holds in all inertial frames. It can also be extended to non-inertial frames provided we include the pseudoforces in the calculation of the net force acting on the body under consideration.
A Both the statements A and B are true. B Both the statements A and B are false. C Statement A is true, but statement B is false. D Statement B is true, but statement A is false. E Question not attempted
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Correct answer: Statement B is true, but statement A is false.
Q09. A spring of constant 100 N/m is stretched by applying equal forces each of magnitude F at the two ends. The energy stored in the spring is 200 J. Now, spring is cut into two equal parts and one of the part is stretched by applying equal forces each of magnitude F at the two ends. The energy stored in this part is:
A 200 J B 100 J C 50 J D 400 J E Question not attempted
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Correct answer: 100 J
Q10. A body of mass m is projected with velocity Avₑ in vertically upward direction from the surface of the earth into space. It is given that vₑ is escape velocity and A < 1. If air resistance is considered to be negligible, the maximum height from the centre of earth, to which the body can go will be: (R is radius of earth)
A r = R/(1 + A²) B r = 2R/(1 + A²) C r = R/(1 − A²) D r = 2R/(1 − A²) E Question not attempted
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Correct answer: r = R/(1 − A²)
Q11. Estimate the change in the density of water in a lake at a depth of 500 m below the surface. The density of water at the surface = 1000 kg/m³ and the bulk modulus of water = 2 × 10⁹ N/m². (Take g = 10 m/s²)
A 1.5 kg/m³ B 2.0 kg/m³ C 2.5 kg/m³ D No change E Question not attempted
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Correct answer: 2.5 kg/m³
Q12. A wheel of mass M and radius R is rolling at 20 m/s as shown in figure. The speed of point P on the wheel shown in figure is approximately: [Figure as shown in question paper]
A 20 m/s B 28 m/s C 14.3 m/s D Insufficient information E Question not attempted
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Correct answer: 28 m/s
Q13. Spherical particles of pollen are shaken up in water and allowed to settle. The depth of the water is 2 × 10⁻² m. What is the approximate diameter of largest particles (in micrometer) remaining in suspension one hour later? Assume that pollen particles fall with terminal speed just after the start. (Density of pollen = 1.8 × 10³ kg/m³, viscosity of water = 1 × 10⁻² poise and density of water = 1 × 10³ kg/m³)
A 2.0 B 2.5 C 3.0 D 3.5 E Question not attempted
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Correct answer: 3.5
Q14. Water rises to a height of 15.3 cm in a capillary tube whose top end is 17 cm above the water level. If the tube is cut at a height of 12.5 cm, what will happen?
A Water will come out like a fountain from the tube. B Water will remain at a height of 12.5 cm in the tube. C The height of water in the tube will become 10.5 cm. D Water will flow down along the sides of the tube. E Question not attempted
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Correct answer: Water will remain at a height of 12.5 cm in the tube.
Q15. A closed loop moves normal to the constant electric field between the plates of a large capacitor. In which of the following case/cases, current will be induced in loop? (The electric field is normal to the plane of the loop.)
Case A: When it is wholly inside the region between the capacitor plates.
Case B: When it is partially outside the plates of the capacitor.
A In both of the cases A and B. B Only in case A. C Only in case B. D Neither in case A nor in case B. E Question not attempted
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Correct answer: Neither in case A nor in case B.
Q16. The four conducting cylinders shown in the figure are all made of the same material, though they differ in length and/or diameter. They are connected to four different batteries which supply the necessary voltages to give the circuits the same current I. Which of the following relations is correct? [Figure as shown in question paper]
A V₂ > V₃ > V₁ > V₄ B V₄ > V₁ > V₃ > V₂ C V₂ = V₃ > V₁ = V₄ D V₁ = V₄ > V₂ = V₃ E Question not attempted
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Correct answer: V₂ > V₃ > V₁ > V₄
Q17. The total magnification of a compound microscope with an objective lens of focal length 1.0 cm and eyepiece lens of focal length 2.0 cm with a tube length of 20 cm is: (Assume that the image is being formed at infinity)
A 150 B 350 C 250 D 450 E Question not attempted
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Correct answer: 250
Q18. In prokaryotes, which DNA polymerase is responsible for actual DNA replication?
A Polymerase I B Polymerase II C Polymerase III D Polymerase IV E Question not attempted
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Correct answer: Polymerase III
Q19. During transcription, the gene transcribed by the enzyme RNA polymerase II is:
A sn RNA B 5S RNA C tRNA D rRNA E Question not attempted
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Correct answer: sn RNA
Q20. How many times does the light beam shown in figure reflect from the bottom mirror? (The light beam is oriented at 15° with vertical, given tan 15° = 0.268.) [Figure as shown in question paper]
A 9 B 5 C 4 D Insufficient information E Question not attempted
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Correct answer: 4