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Question 1 of 45
1. Question
In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is :
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Question 2 of 45
2. Question
The energy of the em waves is of the order of 15 keV. To which part of the spectrum does it belong ?
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Question 3 of 45
3. Question
An electron moves on a straight line path XY as shown. The abcd coil adjacent to the path of electron. What will be the direction of current, if any induced in the coil ?
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Question 4 of 45
4. Question
The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If he speed of the liquid in the tube is V, the sped of the ejection of the liquid through the holes is :
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Question 5 of 45
5. Question
The Young’s modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of :
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Question 6 of 45
6. Question
A potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. E_{0} and a resistance r_{1}. An unknown e.m.f. E is balanced at a length ℓ of the potentiometer wire. The e.m.f. E will be given by :
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Question 7 of 45
7. Question
A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Then, its time period of vibration will be
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Question 8 of 45
8. Question
If vectors and are functions of time, then the value of t at which they are orthogonal to each other is :
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Question 9 of 45
9. Question
A source of sound S emitting waves of frequency 100 Hz and an observer O are located at some distance from each other. The source is moving with a speed of 19.4 ms^{−1} at an angle of 60° with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer (velocity of sound in air 330 ms^{−1}) is :
CorrectIncorrect 
Question 10 of 45
10. Question
An automobile moves on a road with a speed of 54 kmh^{−1}. The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is 3 kgm^{2}. If the vehicle is brought to rest in 15s, the magnitude of average torque transmitted by its bakes to wheel is :
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Question 11 of 45
11. Question
A rectangular coil of length 0.12 m and width 0.1m having 50 turns of wire is suspended vertically in a uniform magnetic field of strength 0.2 Weber/m^{2}. The coil carries a current of 2A. If the plane of the coil is inclined at an angle of 30° with the direction of the field, the torque required to keep the coil in stable equilibrium will be :
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Question 12 of 45
12. Question
A parallel plate air capacitor has capacity ‘C’ distance of separation between plates is ‘d’ and potential difference ‘V’ is applied between the plates force of attraction between the plates of the parallel plate air capacitor is :
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Question 13 of 45
13. Question
Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is :
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Question 14 of 45
14. Question
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,
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Question 15 of 45
15. Question
In the give figure, a diode D is connected to an external resistance R = 100 Ω and an e.m.f. of 3.5V. If the barrier potential developed across the diode is 0.5 V, the current in the circuit will be
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Question 16 of 45
16. Question
A remote – sensing satellite of earth revolves in a circular orbit at a height of 0.25 × 10^{6} m above the surface of earth. If earth’s radius is 6.38 × 10^{6} m and g = 9.8 ms^{−2}, then the orbital speed of the satellite is :
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Question 17 of 45
17. Question
The position vector of a particle as a function of time is given by :
Where R is in meters. T is in seconds and denote unit vectors along x and ydirections, respectively. Which one of the following statements is wrong for the motion of particle ?
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Question 18 of 45
18. Question
A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. The lowest resonant frequencies for this string is :
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Question 19 of 45
19. Question
Point masses m_{1} and m_{2} are placed t the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity ω_{0} is minimum, is given by :
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Question 20 of 45
20. Question
At the first minimum adjacent to the central maximum of a singleslit diffraction pattern the phase difference between the Huygen’s wavelet from the edge of the slit and the wavelet from the mid point of the slit is :
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Question 21 of 45
21. Question
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Question 22 of 45
22. Question
Two particles A and B, move with constant velocities At the initial moment their position vectors are respectively. The condition for particle A and B for their collision is :
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Question 23 of 45
23. Question
A nucleus of uranium decays at rest into nuclei of thorium and helium. Then :
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Question 24 of 45
24. Question
Two metal wires of identical dimensions are connected in series. If σ_{1} and σ_{2} are the conductivities of the metal wires respectively, the effective conductivity of the combination is :
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Question 25 of 45
25. Question
Light of wavelength 500 nm is incident on a metal with work function 2.28 eV. Te de Broglie wavelength of the emitted electron is :
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Question 26 of 45
26. Question
4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0 JK^{−}^{1} mol^{−}^{1}. If the speed of sound in this gas at NTP is 952 ms^{−}^{1}, then the heat capacity at constant pressure is
(Take gas constant R = 8.3 JK^{−1} mol^{−1})
CorrectIncorrect 
Question 27 of 45
27. Question
A series RC circuit is connected to an alternating voltage source. Consider two situations :
(a) When capacitor is air filled.
(b) When capacitor is mica filled.
Current through resistor is i and voltage across capacitor is V then :
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Question 28 of 45
28. Question
A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches 30°, the box starts to slip and slides 4.0 m down the plank is 4.0s. the coefficients to static and kinetic friction between the box and the plank will be, respectively
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Question 29 of 45
29. Question
Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius r/2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience same centripetal forces. The value of n is :
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Question 30 of 45
30. Question
The coefficient of performance of a refrigerator is 5. If the temperature inside freezer is −20℃, the temperature of the surroundings to which it rejects heat is :
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Question 31 of 45
31. Question
An ideal gas is compressed to half its initial volume by means of several processes. Which of the process results in the maximum work done on the gas?
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Question 32 of 45
32. Question
A ball is thrown vertically downwards from a height of 20 m with an initial velocity v_{0}. It collides with the ground. Loses 50 percent of its energy in collision and rebounds to the same height. The initial velocity v_{0} is : (Take g = 10 ms^{−2})
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Question 33 of 45
33. Question
On a frictionless surface, a block of mass. M moving at speed v collides elastically with another block of same mass M which is initially at rest. After collision the first block moves at an angle θ to its initial direction and has a speed v/3. The second block’s sped after the collision is :
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Question 34 of 45
34. Question
If potential (in volts) in a region is expressed as V(x, y, z) = 6xy – y + 2yz, the electric field (in N/C) at point (1, 1, 0) is :
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Question 35 of 45
35. Question
Two slits in Young’s experiment have widths in the ratio 1 : 25. The ratio of intensity at the maxima and minima in the interference pattern, is :
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Question 36 of 45
36. Question
The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury be 13.6 × 10^{3} kg/m^{3} and g = 10 m/s^{2} then the power of heart in watt is :
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Question 37 of 45
37. Question
A proton and an alpha particle both enter a region of uniform magnetic field, B moving at right angles to the field B. If the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is 1 MeV, the energy acquired by the alpha particle will be :
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Question 38 of 45
38. Question
The input signal given to a CE amplifier having voltage gain of 150 is The corresponding output signal will be :
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Question 39 of 45
39. Question
In dimension of critical velocity v_{c}, of liquid following through a tube are expressed as (η^{x }ρ^{y }r^{z}), where η, ρ and r are the coefficient of viscosity of a liquid and radius of the tube respectively, then the values of x, y and z are given by :
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Question 40 of 45
40. Question
A circuit contains an ammeter, a battery of 30 V and a resistance 40.8 ohm al connected in series. If the ammeter has a coil of resistance 480 ohm and a shunt of 20 ohm, the reading in the ammeter will be :
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Question 41 of 45
41. Question
Water rises to height ‘h’ in capillary tube. If the length of capillary tube above the surface of water is made less than ‘h’, then
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Question 42 of 45
42. Question
In an astronomical telescope in normal adjustment a straight black line of length L is drawn on inside part of objective lens. They eyepiece forms a real image of this line. The length of this image is I. The magnification of the telescope. Is :
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Question 43 of 45
43. Question
The value of coefficient of volume expansion of glycerin is 5 × 10^{−4} K^{−1}. The fractional change in the density of glycerin for a rise of 40℃ in its temperature, is :
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Question 44 of 45
44. Question
A photoelectric surface is illuminated successively by monochromatic light of wavelength λ and λ/2. If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function of the surface of the material is :
(h = Planck’s constant, c = speed of light)
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Question 45 of 45
45. Question
A beam of light consisting of red. Green and blue colours is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are 1.39, 1.44 and 1.47, respectively.
The prism will : –
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