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Question 1 of 30
1. Question
Assuming that about 200 MeV energy is released per fission of _{92}U^{235} nuclei, what would be the mass of U^{235} consumed per day in the fission of reactor of power 1 MW approximately?
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Question 2 of 30
2. Question
A parallel plate capacitor is charged and the charging battery is then disconnected. If the plates of the capacitor are moved further apart by means of insulating handles then
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Question 3 of 30
3. Question
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Question 4 of 30
4. Question
A thin wire of length l and uniform linear mass density ρ is bent into a circular loop with centre O and radius r as shown in figure. The moment of inertia of the loop about the axis XX’ is
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Question 5 of 30
5. Question
Two cells of e.m.f.s 1.5 V and 2.0 V and internal resistances 2 ohm and 1 ohm respectively have their negative terminals joined by a wire of 6 ohm and positive terminals by a wire of 7 ohm resistance. A third resistance wire of 8 ohm connects middle points of these wires. Find the potential difference at the end of the third wire.
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Question 6 of 30
6. Question
Six charges are placed at the corner of a regular hexagon as shown. If an electron is placed at its centre O, then the force on it will be :
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Question 7 of 30
7. Question
An inductance of (100/π) mH, a capacitance of F and a resistance of 6.75 Ω are connected in series with an AC source 220 V, 40 Hz. The phase angle of the circuit is
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Question 8 of 30
8. Question
A photon of energy and momentum collides with an electron at rest. After the collision, the scattered electron and the scattered photon each make an angle of 45° with the initial direction of motion. The ratio of frequency of scattered and incident photon is
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Question 9 of 30
9. Question
Two spherical soap bubbles of radii R_{1} and R_{2} combine under isothermal condition to form a single bubble. The radius of the resultant bubble is
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Question 10 of 30
10. Question
If the distance between the earth and the sun were one third of its present value, the no. of days in a year would have been
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Question 11 of 30
11. Question
Three blocks of masses m, 3m and 5m are connected by massless strings and pulled by a force F on a frictionless surface as shown in the figure below. The tension P in the first string is 16 N
If the point of application of F is changed as given below,
the values of P’ and Q’ will be
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Question 12 of 30
12. Question
A conducting ring of radius 1 metre is placed in an uniform magnetic field B of 0.01 Tesla oscillating with frequency 100 Hz with its plane at right angle to B. What will be the induced electric field?
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Question 13 of 30
13. Question
If 10% of the radioactive material decays in 5 days, what would be percentage of amount of original material left after 20 days?
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Question 14 of 30
14. Question
The displacement of a particle moving in a straight line depends on time as x = αt^{3} + βt^{2} + γt + δ . The ratio of initial acceleration to its initial velocity depends
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Question 15 of 30
15. Question
A student is standing at a distance of 50 metre from the bus. As soon as the bus begins its motion with an acceleration of 1 ms^{2}, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is
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Question 16 of 30
16. Question
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Question 17 of 30
17. Question
Calculate the increase in energy of a brass bar of length 0.2 m and cross sectional area 1 cm^{2} when compressed with a load of 5 kg weight along its length. Young’s modulus of brass = 1.0 × 10^{11} Nm^{2}.
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Question 18 of 30
18. Question
The apparent depth of water in cylindrical water tank of diameter 2R cm is reducing at the rate of x cm/minute when water is being drained out at a constant rate. The amount of water drained in c.c per minute is: (n_{1} = refractive index of air, n_{2} = refractive index of water)
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Question 19 of 30
19. Question
A lens is made of flint glass (refractive index = 1.5). When the lens is immersed in a liquid of refractive index 1.25, the focal length:
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Question 20 of 30
20. Question
Which of the following spherical lenses doesn’t exhibit dispersion? The radii of curvature of the surfaces of the lenses are given in the diagrams?
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Question 21 of 30
21. Question
A particle executes simple Harmonic motion in a line of 5 cm long. When it passes through the centre of line, its velocity is 15 cm/s. Find its frequency.
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Question 22 of 30
22. Question
Water from a tap emerges vertically downward with an initial speed of 1 m/s. The crosssectional area of the tap is 10^{4} m^{2}. Assume that the pressure is constant throughout the stream of water and the flow is steady. What is the crosssectional area of the stream 0.15m below the tap?
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Question 23 of 30
23. Question
A rectangular film of liquid is extended from 7cm × 5 cm to 9 cm × 8 cm. If the work done is 4 × 10⁻^{4}J. Find the surface tension of liquid.
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Question 24 of 30
24. Question
The maximum velocity of a particle executing S.H.M with an amplitude 14 mm is 4.4 m/s. The period of oscillation is
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Question 25 of 30
25. Question
Where is the centre of mass of a binary system with a white dwarf star of mass (M) and a Red – giant star (m) separated by a distance (p)?
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Question 26 of 30
26. Question
A bimetallic strip is formed out of two identical strips, one of copper and the other of brass. The coefficients of linear expansion of the two metals are α_{c} and α_{B}. On heating, the temperature of the strip increases by ∆T and the strip bends to form an arc of radius R. Then R is proportional to
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Question 27 of 30
27. Question
A tank is filled with water upto height H. When a hole is made at a distance h below the level of water. What will be the horizontal range of water jet ?
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Question 28 of 30
28. Question
L, C and R represent the physical quantities inductance, capacitance and resistance respectively. Which of the following combinations represents time?
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Question 29 of 30
29. Question
In the diffraction from a single slit of width 2.5 λ, the total number of minimas and secondary maximum (maxima) on either side of the central maximum are
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Question 30 of 30
30. Question
A coil of inductance 8.4 mH and resistance 6 Ω is connected to a 12 V battery. The current in the coil is 1.0 A at approximately the time
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