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Categories
- Alternating Current 0%
- Atoms 0%
- Behavior of Perfect Gas and Kinetic Theory 0%
- Current Electricity 0%
- Dual Nature of Matter and Radiation 0%
- Electromagnetic Induction 0%
- Electromagnetic Waves 0%
- Electronic Devices 0%
- Electrostatics 0%
- Gravitation 0%
- Laws of Motion 0%
- Magnetic Effects of Current and Magnetism 0%
- Motion in Plane 0%
- Motion of system of particles and rigid body 0%
- Nuclei 0%
- Oscillations 0%
- Physical World and Measurement 0%
- Properties of Bulk Matter 0%
- Ray Optics 0%
- Thermodynamics 0%
- Wave Optics 0%
- Waves 0%
- Work Energy and Power 0%
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Question 1 of 45
1. Question
Category: Physical World and MeasurementIf dimensions of critical velocity of a liquid flowing through a tube are expressed as [ηˣ ρʸ rᶻ] , where η, ρ and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by
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Question 2 of 45
2. Question
Category: Behavior of Perfect Gas and Kinetic Theory4.0 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 952ms⁻¹, then the heat capacity at constant pressure is (Take gas constant R=8.3 JK⁻¹ mol⁻¹)
CorrectIncorrect -
Question 3 of 45
3. Question
Category: Work Energy and PowerA ball is thrown vertically downwards from a height of 20 m with an initially velocity v₀. It collides with the ground, loses 50 percent of its energy in collision and rebounds to the same height. The initial velocity v₀ is (Take g=10 ms⁻²)
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Question 4 of 45
4. Question
Category: Ray OpticsA 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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Question 5 of 45
5. Question
Category: Current ElectricityA circuit contains an ammeter, a battery of 30 V and a resistance 40.8 ohm all 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
CorrectIncorrect -
Question 6 of 45
6. Question
Category: NucleiA nucleus of uranium decays at rest into nuclei of thorium and helium. Then
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Question 7 of 45
7. Question
Category: ElectrostaticsA parallel plate air capacitor has capacity C, distance of separation between plate is d and potential difference V is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is
CorrectIncorrect -
Question 8 of 45
8. Question
Category: OscillationsA 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
CorrectIncorrect -
Question 9 of 45
9. Question
Category: Dual Nature of Matter and RadiationA 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 10 of 45
10. Question
Category: Laws of MotionA 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 30⁰, the box starts to slip and slides 4.0 m down the plank in 4.0 s. The coefficients of static and kinetic friction between the box and the plank will be, respectively.
CorrectIncorrect -
Question 11 of 45
11. Question
Category: Current ElectricityA potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. E₀ and a resistance r₁. 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
CorrectIncorrect -
Question 12 of 45
12. Question
Category: Magnetic Effects of Current and MagnetismA 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
CorrectIncorrect -
Question 13 of 45
13. Question
Category: Magnetic Effects of Current and MagnetismA rectangular coil of length 0.12 m and width 0.1 m having 50 turns of wire is suspended vertically in a uniform magnetic field of strength 0.2 Weber/m². The coil carries a current of 2A. If the plane of the coil is inclined at an angle of 30⁰ with the direction of field, the torque required to keep the coil in stable equilibrium will be
CorrectIncorrect -
Question 14 of 45
14. Question
Category: GravitationA remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25 x 10⁶ m above the surface of earth. If earth’s radius is 6.38 x 10⁶ m and g=9.8 ms⁻², then the orbital speed of the satellite is
CorrectIncorrect -
Question 15 of 45
15. Question
Category: GravitationA 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 16 of 45
16. Question
Category: WavesA 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 60⁰ 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 17 of 45
17. Question
Category: WavesA string is stretched between fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz and 351 Hz. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is
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Question 18 of 45
18. Question
Category: Motion of system of particles and rigid bodyAn automobile moves on a road with a speed of 54 km h⁻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 kg m². If the vehicle is brought to rest in 15 s, the magnitude of average torque transmitted by its brakes to the wheel is
CorrectIncorrect -
Question 19 of 45
19. Question
Category: Electromagnetic InductionAn electron moves on a straight line path XY as shown. The abcd is a 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 20 of 45
20. Question
Category: ThermodynamicsAn ideal gas is compressed to half its initial volume by means of several processes. Which of the progress results in the maximum work done on the gas?
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Question 21 of 45
21. Question
Category: Wave OpticsAt the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygen’s wavelet from the edge of the slit and the wavelet from the midpoint of the slit is
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Question 22 of 45
22. Question
Category: Ray OpticsIn an astronomical telescope in normal adjustment a straight black line of length L is drawn on inside part of objective lens. The eye-piece forms a real image of this line. The length of this image is I. The magnification of the telescope is
CorrectIncorrect -
Question 23 of 45
23. Question
Category: Electronic DevicesIn the given figure, a diode D is connected to an external resistance R=100 Ω and an e.m.f. of 3.5 V. If the barrier potential developed across the diode is 0.5 V, the current in the circuit will be
CorrectIncorrect -
Question 24 of 45
24. Question
Category: AtomsIn 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 25 of 45
25. Question
Category: Dual Nature of Matter and RadiationLight of wavelength 500 nm is incident on a metal with work function 2.28 eV. The de Broglie wavelength of the emitted electron is
CorrectIncorrect -
Question 26 of 45
26. Question
Category: Work Energy and PowerOn a frictionless surface, a block of mass M moving at speed v collides elastically with another block of same mass M which is infinitely 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 speed after the collision is
CorrectIncorrect -
Question 27 of 45
27. Question
Category: Motion of system of particles and rigid bodyPoint masses m₁ and m₂ are placed at 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 ω₀ is minimum, is given by
CorrectIncorrect -
Question 28 of 45
28. Question
Category: ThermodynamicsThe coefficient of performance of a refrigerator is 5. If the temperature inside freezer is -20⁰C, the temperature of the surroundings to which it rejects heat is
CorrectIncorrect -
Question 29 of 45
29. Question
Category: Properties of Bulk MatterThe cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is V, the speed of the ejection of the liquid through the holes is
CorrectIncorrect -
Question 30 of 45
30. Question
Category: Electromagnetic WavesThe energy of the em waves is of the order of 15 keV. To which part of the spectrum does it belong?
CorrectIncorrect -
Question 31 of 45
31. Question
Category: Work Energy and PowerThe heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150 mm of mercury. If the intensity of mercury be 13.6 x 10³ kg/m³ and g=10 m/s² then the power of heart in watt is
CorrectIncorrect -
Question 32 of 45
32. Question
Category: Properties of Bulk MatterThe value of coefficient of volume expansion of glycerin is 5 x 10⁻⁴ k⁻¹. The fractional change in the density of glycerin for a rise of 40⁰ C in its temperature, is
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Question 33 of 45
33. Question
Category: Properties of Bulk MatterThe 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
CorrectIncorrect -
Question 34 of 45
34. Question
Category: Current ElectricityTwo metal wires of identical dimensions are connected in series. If σ₁ and σ₂ are the conductivities of the metal wires respectively, the effective conductivity of the combination is
CorrectIncorrect -
Question 35 of 45
35. Question
Category: Laws of MotionTwo 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
CorrectIncorrect -
Question 36 of 45
36. Question
Category: Behavior of Perfect Gas and Kinetic TheoryTwo 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
CorrectIncorrect -
Question 37 of 45
37. Question
Category: Properties of Bulk MatterWater rises to a height h in capillary tube. If the length of capillary tube above the surface of water is made less than h, then
CorrectIncorrect -
Question 38 of 45
38. Question
Category: Motion in PlaneThe position vector of a particle R as a function of time is given by R = 4 sin(2πt)i + 4 cos (2πt) j, where R is in meter, t in seconds and i and j denote unit vectors along x and y directions respectively. Which one of the following statements is wrong for the motion of the particle
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Question 39 of 45
39. Question
Category: Motion in PlaneIf vectors A = cos ωt i + sin ωt j and B = cos (ωt/2) i + sin (ωt/2) j are functions of time, then the value of t at which they are orthogonal to each other is
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Question 40 of 45
40. Question
Category: Work Energy and PowerTwo particles A and B, move with constant velocities V₁ and V₂. At the initial moment their position vectors are r₁ and r₂ respectively. The condition for particles A and B for their collision is
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Question 41 of 45
41. Question
Category: Motion of system of particles and rigid bodyA force F = ai + 3j + 6k is acting at a point r = 2i – 6j -12k. The value of α for which angular momentum about origin is conserved is
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Question 42 of 45
42. Question
Category: ElectrostaticsIf 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 43 of 45
43. Question
Category: Alternating CurrentA series R-C 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:CorrectIncorrect -
Question 44 of 45
44. Question
Category: Wave OpticsTwo 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, Imax/Imin is
CorrectIncorrect -
Question 45 of 45
45. Question
Category: Electronic DevicesThe input signal given to a CE amplifier having a voltage gain of 150 is Vi=2 cos [15t + (π/3)]. The corresponding output signal will be
CorrectIncorrect
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