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Question 1 of 45
1. Question
The mean free path of molecules of a gas, (radius r) is inversely proportional to
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Question 2 of 45
2. Question
A particle is moving such that its position coordinates (x, y) are
(2m, 3m) at time t = 0,
(6m, 7m) at time t = 2 s and
(13m, 14m) at time t = 5 s
Average velocity vector from t = 0 to t = 5 s is
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Question 3 of 45
3. Question
Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by
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Question 4 of 45
4. Question
When the energy of the incident radiation is increased by 20%, the kinetic energy of the photoelectrons emitted from a metal surface increased from 0.5 eV to 0.8 eV. The work function of the metal is
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Question 5 of 45
5. Question
In an ammeter 0.2% of main current passes through the galvanometer. If resistance of galvanometer is G, the resistance of ammeter will be
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Question 6 of 45
6. Question
A balloon with mass m is descending down with an acceleration a (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration a?
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Question 7 of 45
7. Question
The binding energy per nucleon of nuclei are 5.60 MeV and 7.06 MeV, respectively. In the nuclear reaction the value of energy Q released is
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Question 8 of 45
8. Question
The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2A on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index μ, of the prism is
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Question 9 of 45
9. Question
The resistances in the two arms of the meter bridge are 5 Ω and R Ω , respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6 l_{1}. The resistance R, is :
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Question 10 of 45
10. Question
Two cities are 150 km apart. Electric power is sent from one city to another city through copper wires. The fall of potential per km is 8 volt and the average resistance per km is 0.5 Ω. The power loss in the wire is
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Question 11 of 45
11. Question
A system consists of three masses m_{1}, m_{2} and m_{3 }connected by a string passing over a pulley P. The mass m_{1} hangs freely and m_{2} and m_{3} are on a rough horizontal table (the coefficient of friction = μ)
The pulley is frictionless and of negligible mass. The downward acceleration of mass m_{1} is
(Assume m_{1} = m_{2} = m_{3} = m)
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Question 12 of 45
12. Question
If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the deBroglie wavelength of the particle is
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Question 13 of 45
13. Question
A beam of light of λ = 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between first dark fringes on either side of the central bright fringe is
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Question 14 of 45
14. Question
A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 × 10^{24} kg) have to be compressed to be a black hole?
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Question 15 of 45
15. Question
The oscillation of a body on a smooth horizontal surface is represented by the equation,
X = Acos(ωt)
where X = displacement at time t
ω = frequency of oscillationWhich one of the following graphs shows correctly the variation a with t?
Here a = acceleration at time t
T = time period
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Question 16 of 45
16. Question
A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions s^{–2} is
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Question 17 of 45
17. Question
The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle ‘θ’ without slipping and slipping down the incline without rolling is
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Question 18 of 45
18. Question
A thin semicircular conducting ring (PQR) of radius r is falling with its plane vertical in a horizontal magnetic field B, as shown in figure. The potential difference developed across the ring when its speed is v, is
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Question 19 of 45
19. Question
In the Young’s doubleslit experiement, the intensity of light at a point on the screen where the path difference is λ is K, (λ being the wavelength of light used). The intensity at a point where the path difference is λ/4, will be
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Question 20 of 45
20. Question
A radio isotope X with a half life 1.4 × 10^{9} years decays of Y which is stable. A sample of the rock from a cave was found to contain X and Y in the ratio 1 : 7. The age of the rock is
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Question 21 of 45
21. Question
Light with an energy flux of 25 × 10^{4} Wm^{–2} falls on a perfectly reflecting surface at normal incidence. If the surface area is 15 cm2, the average force exerted on the surface is
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Question 22 of 45
22. Question
Certain quantity of water cools from 70°C to 60°C in the first 5 minutes and to 54°C in the next 5 minutes. The temperature of the surroundings is
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Question 23 of 45
23. Question
A monoatomic gas at a pressure P, having a volume V expands isothermally to a volume 2 V and then adiabatically to a volume 16 V. The final pressure of the gas is (take γ = 5/3)
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Question 24 of 45
24. Question
A projectile is fired from the surface of the earth with a velocity of 5 ms^{–1} and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 ms^{–1} at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in ms^{–2}) is (given g = 9.8 ms^{–2})
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Question 25 of 45
25. Question
In a region, the potential is represented by V(x, y, z) = 6x – 8xy – 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is
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Question 26 of 45
26. Question
Hydrogen atom in ground state is excited by a monochromatic radiation of λ = 975 Å. Number of spectral lines in the resulting spectrum emitted will be
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Question 27 of 45
27. Question
The barrier potential of a pn junction depends on :
a. Type of semiconductor material
b. Amount of doping
c. TemperatureWhich one of the following is correct?
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Question 28 of 45
28. Question
If n_{1}, n_{2} and n_{3} are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by
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Question 29 of 45
29. Question
If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are
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Question 30 of 45
30. Question
If the focal length of objective lens is increased then magnifying power of
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Question 31 of 45
31. Question
A potentiometer circuit has been set up for finding the internal resistance of a given cell. The main battery, used across the potentiometer wire, has an emf of 2.0 V and a negligible internal resistance. The potentiometer wire itself is 4 m long. When the resistance, R, connected across the given cell, has values of
(i) Infinity
(ii) 9.5 Ω,the ‘balancing lengths’, on the potentiometer wire are found to be 3 m and 2.85 m, respectively.
The value of internal resistance of the cell is
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Question 32 of 45
32. Question
Copper of fixed volume V is drawn into wire of length l. When this wire is subjected to a constant force F, the extension produced in the wire is Δl . Which of the following graphs is a straight line?
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Question 33 of 45
33. Question
Two identical long conducting wires AOB and COD are placed at right angle to each other, with one above other such that O is their common point for the two. The wires carry I_{1} and I_{2} currents, respectively. Point P is lying at distance d from O along a direction perpendicular to the plane containing the wires. The magnetic field at the point P will be
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Question 34 of 45
34. Question
Two thin dielectric slabs of dielectric constants K_{1 }and K2 (K_{1} < K_{2}) are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by
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Question 35 of 45
35. Question
The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are (velocity of sound = 340 ms^{–1})
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Question 36 of 45
36. Question
A thermodynamic system undergoes cyclic process ABCDA as shown in figure. The work done by the system in the cycle is
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Question 37 of 45
37. Question
A transformer having efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6A, the voltage across the secondary coil and the current in the primary coil respectively are
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Question 38 of 45
38. Question
Steam at 100°C is passed into 20 g of water at 10°C. When water acquires a temperature of 80°C, the mass of water present will be:
[Take specific heat of water = 1 cal g–1°C^{–1} and latent heat of steam = 540 cal g^{–1}]
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Question 39 of 45
39. Question
Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole moment . Which configuration has highest net magnetic dipole moment?
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Question 40 of 45
40. Question
A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are
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Question 41 of 45
41. Question
A body of mass (4m) is lying in xy plane at rest. It suddenly explodes into three pieces. Two pieces each of mass (m) move perpendicular to each other with equal speeds (v). The total kinetic energy generated due to explosion is
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Question 42 of 45
42. Question
The force F acting on a particle of mass m is indicated by the forcetime graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is
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Question 43 of 45
43. Question
A speeding motorcyclist sees traffic jam ahead of him. He slows down to 36 km/hour. He finds that traffic has eased and a car moving ahead of him at 18 km/hour is honking at a frequency of 1392 Hz. If the speed of sound is 343 m/s, the frequency of the honk as heard by him will be
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Question 44 of 45
44. Question
A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If ‘T’ is the surface tension of the liquid, then
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Question 45 of 45
45. Question
The given graph represents V – I characteristic for a semiconductor device.
Which of the following statement is correct?
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