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Question 1 of 45
1. Question
Category: PhysicsPlanck’s constant (h), speed of light in vacuum (c) and Newton’s gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length?
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Question 2 of 45
2. Question
Category: PhysicsTwo cars P and Q starts from a point at the same time in a straight line and their positions are represents by xp(t)=at+bt2 and xQ(t)=ft−t2. At what time do the cars have the same velocity?
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Question 3 of 45
3. Question
Category: PhysicsIn the given figure, a=15 m/s2 represents the total acceleration of particle moving in the clockwise direction in a circle of radius R=2.5m at a given instant of time. The speed of the particle is
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Question 4 of 45
4. Question
Category: PhysicsA rigid ball of mass m strikes a rigid wall at 60o and gets reflected without loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be
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Question 5 of 45
5. Question
Category: PhysicsA bullet of mass 10 g moving horizontally with a velocity of 400 m/s strikes a wooden block of mass 2 kg which is suspended by a light inextensible string of length 5m. As a result, the centre of gravity of the block is found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges out horizontally from the block will be
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Question 6 of 45
6. Question
Category: PhysicsTwo identical balls A and B having velocities of 0.5 m/s and -0.3 m/s respectively collide elastically in one dimension. The velocities of B and A after the collision respectively will be
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Question 7 of 45
7. Question
Category: PhysicsA particle moves from a point (-2i+5j) to (4j+2k) when a force of (4i+3j)N is applied. How much work has been done by the force?
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Question 8 of 45
8. Question
Category: PhysicsTwo rotating bodies A and B of masses m and 2m with moments of inertia IA and Iʙ(Iʙ>Iᴀ) have equal kinetic energy of rotation. If Lᴀ and Lʙ be their angular momenta respectively, then
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Question 9 of 45
9. Question
Category: PhysicsA solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation (Esphere/Ecylinder) will be
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Question 10 of 45
10. Question
Category: PhysicsA light rod of length l has two masses m1 and m2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is
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Question 11 of 45
11. Question
Category: PhysicsStarting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by
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Question 12 of 45
12. Question
Category: PhysicsA satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g0, value of acceleration due to gravity at the earth’s surface, is
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Question 13 of 45
13. Question
Category: PhysicsA rectangular film of liquid is extended from (4cm x 2cm) to (5cm x 4cm). If the work done is 3 x 10⁻⁴ J, the value of the surface tension of the liquid is
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Question 14 of 45
14. Question
Category: PhysicsThree liquids of densities ρ₁,ρ₂ and ρ₃ (with ρ₁ > ρ₂ > ρ₃) having the same value of surface tension T, rise to the same height in three identical capillaries The angles of contact θ₁,θ₂ and θ₃ obey:
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Question 15 of 45
15. Question
Category: PhysicsTwo identical bodies are made of a material for which the heat capacity increase with temperature. One of these is at 100oC, while the other one is at 0oC. If the two bodies are brought into contact, then assuming no heat loss, the final common temperature is
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Question 16 of 45
16. Question
Category: PhysicsA body cools from a temperature 3T to 2T in 10 minutes. The room temperature is T. Assume that Newton’s law of cooling is applicable. The temperature of the body at the end of next 10 minutes will be
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Question 17 of 45
17. Question
Category: PhysicsOne mole of an ideal monatomic gas undergoes a process described by the equation PV3=constant. The heat capacity of the gas during this process is :
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Question 18 of 45
18. Question
Category: PhysicsThe temperature inside a refrigerator is t₂°C and the room temperature is t₁°C. The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be
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Question 19 of 45
19. Question
Category: PhysicsA given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. which of the following gives the density of the gas?
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Question 20 of 45
20. Question
Category: PhysicsA body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass mm is slightly pulled down and released, it oscillates with a time period of 3s. when the mass m is increased by 1 kg the time period of oscillations become 5s. Then value of m in kg is
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Question 21 of 45
21. Question
Category: PhysicsThe second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be
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Question 22 of 45
22. Question
Category: PhysicsThree sound waves of equal amplitudes have frequencies (n-1), n, (n+1). They superimpose to give beats. The number of beats produced per second will be
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Question 23 of 45
23. Question
Category: PhysicsAn electric dipole is placed at an angle of 30° with an electric field intensity 2 x 10⁵ N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is
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Question 24 of 45
24. Question
Category: PhysicsA parallel-plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k1,k2,k3 and k4 as shown in the figure below. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by
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Question 25 of 45
25. Question
Category: PhysicsThe potential difference (VA−VB) between the points A and B in the given figure is.
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Question 26 of 45
26. Question
Category: PhysicsA filament bulb (500 W, 100 V) is to be used in a 230 V main supply. When a resistance R is connected in series, it works perfectly and the bulb consumes 500 W. The value of R is.
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Question 27 of 45
27. Question
Category: PhysicsA long wire carrying a steady current is bent into a circular loop of one turn. The magnetic filed at the centre of the loop is B. It is them bent into circular coil of n turns. The magnetic field at the centre of this cold of n turns will be
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Question 28 of 45
28. Question
Category: PhysicsA bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. the energy required to rotate it by 60° is W, Now the torque required to keep the magnet in this new position is.
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Question 29 of 45
29. Question
Category: PhysicsAn electron is moving in a circular path under the influence of a transverse magnetic field of 3⋅57 x 10⁻²T . If the value of e/m is 1⋅76 x 10¹¹C/kg. the frequency of revolution of the electron is.
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Question 30 of 45
30. Question
Category: PhysicsWhich of the following combination should be selected for better turning of an L.C.R circuit used for communication?
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Question 31 of 45
31. Question
Category: PhysicsA uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate \dfrac{\overrightarrow{dB}}{dt}.Loop 1 of radius R > r enclose the region r and loop 2 of radius R is outside the region of magnetic field as shown in the figure below. Then the e.m.f. generated is
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Question 32 of 45
32. Question
Category: PhysicsThe potential differences of the resistance, the capacitor and the inductor are 80 V, 40 V and 100 V respectively in an L.C.R circuit. The power factor of the circuit is
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Question 33 of 45
33. Question
Category: PhysicsA 100Ω resistance and a capacitor of 100Ω reactance are connected in series a 220 V source. when the capacitor is 50% charged, the value of the displacement current is.
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Question 34 of 45
34. Question
Category: PhysicsTwo identical glass (µ(g)=3/2) lenses of focal length f each keeps in contact. The space between the two lenses is filled with water (µ(w)=4/3). The focal length of the combination is.
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Question 35 of 45
35. Question
Category: PhysicsAn air bubble in a glass with refractive index 1.5 (near normal incidence) i.e. 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness(in cm) of the is.
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Question 36 of 45
36. Question
Category: PhysicsThe interference pattern is obtained with two coherent light source of intensity ratio n. In the interference pattern, the ratio (Imax – Imin) / (Imax + Imin) will be
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Question 37 of 45
37. Question
Category: PhysicsA person can see clearly object only when they lie between 50 cm and 400 cm from his eyes. In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use, will be :
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Question 38 of 45
38. Question
Category: PhysicsA linear aperture whose width is 0.02 cm is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5 x 10⁻⁵ cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is:
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Question 39 of 45
39. Question
Category: PhysicsElectrons of mass m with de-Broglie wavelength λ fall on the target in an X-rays tube. The cutoff wavelength (λ0) of the emitted X-rays is
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Question 40 of 45
40. Question
Category: PhysicsPhotons with energy 5 eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectrons will reach the anode A, if the stopping potential of A relative to C is
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Question 41 of 45
41. Question
Category: PhysicsIf an electron in a hydrogen atom jumps from the 3rd orbit to the 2nd orbit, it emits a photon of wavelength λ. When it jumps from the 4th orbit to the 3rd orbit, the corresponding wavelength of the photon will be
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Question 42 of 45
42. Question
Category: PhysicsThe half-life of a radioactive substance is 30 minutes. The time (in minutes) taken between 40% decay of the same radioactive substance is
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Question 43 of 45
43. Question
Category: PhysicsFor CE transistor amplifier, the audio signal voltage across the collector resistance of 2 kΩ is 4 V. If the current amplification factor of the transistor is 100 and the base resistance is 1 kΩ, then the input signal voltage is
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Question 44 of 45
44. Question
Category: PhysicsThe given circuit has two ideal diodes connected as shown in the figure below. The current flowing through the resistance R1 will be
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Question 45 of 45
45. Question
Category: PhysicsWhat is the output Y in the following circuit when all the three inputs A, B, C are first 0 and then 1?
CorrectIncorrect
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