AIPMT 2012 Prelims

171 Questions • 171 Minutes • 2012

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In a CE transistor amplifier, the audio signal voltage across the collector resistance of 2 kΩ is 2 V. If the base resistance is 1 kΩ and the current amplification of the transistor is 100, the input signal voltage is

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A coil of resistance 400 Ω is placed in a magnetic field. If the magnetic flux φ (Wb) linked with the coil varies with time t (s) as φ = 50t² + 4, the current in the coil at t = 2 s is

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A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 m s⁻¹. It collides with a horizontal spring of force constant 200 N m⁻¹. The maximum compression produced in the spring will be

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An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an angle θ with the direction of the field. Assuming that the potential energy of the dipole to be zero when θ = 90°, the torque and the potential energy of the dipole will respectively be

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The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is

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If the nuclear radius of ²⁷Al is 3.6 fermi, the approximate nuclear radius of ⁶⁴Cu in fermi is

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Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2I, respectively. The resultant magnetic field induction at the centre will be

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When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index

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A particle has initial velocity (2î + 3ĵ) and acceleration (0.3î + 0.2ĵ). The magnitude of velocity after 10 seconds will be

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The height at which the weight of a body becomes 1/16th of its weight on the surface of earth (radius R) is

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Four point charges −Q, −q, 2q and 2Q are placed, one at each corner of a square. The relation between Q and q for which the potential at the centre of the square is zero is

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When a string is divided into three segments of length l₁, l₂ and l₃, the fundamental frequencies of these three segments are ν₁, ν₂ and ν₃ respectively. The original fundamental frequency (ν) of the string is

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A ring is made of a wire having a resistance R₀ = 12 Ω. Points A and B on the ring divide it into two arcs of lengths l₁ and l₂. At which points A and B should a current carrying conductor be connected so that the resistance R of the sub circuit between these points is equal to 8/3 Ω?

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A geostationary satellite is orbiting the earth at a height of 5R above the surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is

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If the radius of a star is R and it acts as a black body, what would be the temperature of the star, in which the rate of energy production is Q? (σ stands for Stefan's constant)

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When a mass is rotating in a plane about a fixed point, its angular momentum is directed along:

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Two sources of sound placed close to each other are emitting progressive waves given by y₁ = 4 sin 600πt and y₂ = 5 sin 608πt. An observer located near these two sources of sound will hear

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A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45°, the speed of the car is

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The magnifying power of a telescope is 9. When it is adjusted for parallel rays the distance between the objective and eyepiece is 20 cm. The focal length of lenses are

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What is the flux through a cube of side a if a point charge of q is at one of its corners?

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Paper Info

Exam: AIPMT Prelims
Year: 2012
Questions: 171
Duration: 171 mins

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