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Question 1 of 30
1. Question
Imagine that a reactor converts all given mass into energy and that it operates at a power level of 10^{9} watt. The mass of the fuel consumed per hour in the reactor will be : (velocity of light, c is 3 × 10^{8} m/s)
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Question 2 of 30
2. Question
A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is parallel to the direction of the current. The motion of the charge is :
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Question 3 of 30
3. Question
Two particles A and B of equal mass M are moving with the same speed υ as shown in the figure. They collide completely inelastically and move as a single particle C. The angle θ that the path of C makes with the Xaxis is given by :
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Question 4 of 30
4. Question
A combination of parallel plate capacitors is maintained at a certain potential difference.
When a 3 mm thick slab is introduced between all the plates, in order to maintain the same potential difference, the distance between the plate is increased by 2.4 mm. Find the dielectric constant of the slab.
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Question 5 of 30
5. Question
A signal is to be transmitted through a wave of wavelength λ, using a linear antenna. The length l of the antenna and effective power radiated P_{eff} will be given respectively as :
(K is a constant of proportionality)
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Question 6 of 30
6. Question
Four closed surfaces and corresponding charge distributions are shown below..
.
Let the respective electric fluxes through the surfaces be ϕ_{1}, ϕ_{2}, ϕ_{3} and ϕ_{4}. Then :
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Question 7 of 30
7. Question
In a meter bridge experiment resistances are connected as shown in the figure. Initially resistance P = 4 Ω and the neutral point N is at 60 cm from A. Now an unknown resistance R is connected in series to P and the new position of the neutral point is at 80 cm from A. The value of unknown resistance R is :
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Question 8 of 30
8. Question
In an experiment to determine the period of a simple pendulum of length 1 m, it is attached to different spherical bobs of radii r_{1} and r_{2}. The two spherical bobs have uniform mass distribution. If the relative difference in the periods, is found to be 5 × 10^{−4} s, the difference in radii, r_{1} – r_{2} is best given by :
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Question 9 of 30
9. Question
A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 Å and diffraction bands are observed on a screen 0.5 m from the slit. The distance of the third dark band from the central bright band is :
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Question 10 of 30
10. Question
N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomic gas. What is the change in the total kinetic energy of the gas ?
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Question 11 of 30
11. Question
The figure shows three circuits I, II and III which are connected to a 3V battery. If the powers dissipated by the configurations I, II and III are P_{1}, P_{2} and P_{3} respectively, then :
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Question 12 of 30
12. Question
A laser light of wavelength 600 nm is used to weld Retina detachment. If a Laser pulse of width 60 ms and power 0.5 kW is used the approximate number of photons in the pulse are :
[Take Planck’s constant h = 6.62 × 10^{−34} Js]
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Question 13 of 30
13. Question
A standing wave is formed is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by
What is the speed of the travelling wave moving in the positive x direction ?
(x and t are in meter and second, respectively.)
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Question 14 of 30
14. Question
The machine as shown has 2 rods of length 1 m connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has a roller that rolls along the floor in a slot. As the roller goes back and forth, a 2 kg weight moves up and down. If the roller is moving towards right at a constant speed, the weight moves up with a :
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Question 15 of 30
15. Question
A conical pendulum of length 1 m makes an angle θ = 45° w.r.t Zaxis and moves in a circle in the XY plane. The radius of the circle is 0.4 m and its center is vertically below O. The speed of the pendulum, in its circular path, will be : (Take g = 10 ms^{−2})
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Question 16 of 30
16. Question
A circular hole of radius is made in a thin uniform disc having mass M and radius R, as shown in figure. The moment of inertia of the remaining portion of the disc about an axis passing through the point O and perpendicular to the plane of the disc is :
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Question 17 of 30
17. Question
A block of mass 0.1 kg is connected to an elastic spring of spring constant 640 Nm^{−1} and oscillates in a damping medium of damping constant 10^{−2} kg s^{−1}. The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to :
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Question 18 of 30
18. Question
In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror at distance of 5 cm from it. It is found that an object and its image coincide, if the object is placed at a distance of 20 cm from the lens. The focal length of the convex mirror is :
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Question 19 of 30
19. Question
A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a series LCR circuit. Given that R = 5 Ω, L = 25 mH and C = 1000 μF. The total impedance, and phase difference between the voltage across the source and the current will respectively be :
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Question 20 of 30
20. Question
Two tubes of radii r_{1} and r_{2}, and lengths l_{1} and l_{2}, respectively, are connected in series and a liquid flows through each of them in stream line conditions. P_{1} and P_{2} are pressure differences across the two tubes. If P_{2} is 4P_{1} and l_{2} is then the radius r_{2} will be equal to :
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Question 21 of 30
21. Question
For the PV diagram given for an ideal gas,
out of the following which one correctly represents the TP diagram ?
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Question 22 of 30
22. Question
The mass density of a spherical body is given by for r ≤ R and ρ(r) = 0 for r > R,
where r is the distance from the centre.
The correct graph that describes qualitatively the acceleration, a, of a test particle as a function of r is :
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Question 23 of 30
23. Question
The current gain of a common emitter amplifier is 69. If the emitter current is 7.0 mA, collector current is
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Question 24 of 30
24. Question
A physical quantity P is described by the relation
p = a^{1/2} b^{2} c^{3} d^{−}^{4}
If the relative errors in the measurement of a, b, c and d respectively, are 2%, 1%, 3% and 5%, then the relative error in P will be :
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Question 25 of 30
25. Question
The electric field component of a monochromatic radiation is given by
Its magnetic field is the given by :
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Question 26 of 30
26. Question
A uniform wire of length l and radius r has a resistance of 100 Ω. It is recast into a wire of radius The resistance of new wire will be :
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Question 27 of 30
27. Question
A uniform magnetic field B of 0.3 T is along the positive Zdirection. A rectangular loop (abcd) of sides 10 cm × 5 cm carries a current I of 12 A. Out of the following different orientations which one corresponds to stable equilibrium ?
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Question 28 of 30
28. Question
A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration 2 m/s^{2} and the car has acceleration 4 m/s^{2}. The car will catch up with the bus after a time of :
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Question 29 of 30
29. Question
A steel rail of length 5 m and area of cross section 40 cm^{2} is prevented from expanding along its length while the temperature rises by 10℃. If coefficient of linear expansion and Young’s modulus of steel are 1.2 × 10^{−5} K^{−1} and 2 × 10^{11} Nm^{−2} respectively, the force developed in the rail is approximately :
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Question 30 of 30
30. Question
The acceleration of an electron in the first orbit of the hydrogen atom (n = 1) is :
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