AIPMT 2012 Mains

89 Questions • 89 Minutes • 2012

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The dimensions of (μ₀ε₀)^(−1/2) are

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A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by

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A car of mass m is moving on a level circular track of radius R. If μs represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by

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A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P₀. The instantaneous velocity of this car is proportional to

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Three masses are placed on the x-axis : 300 g at origin, 500g at x = 40 cm and 400g at x = 70 cm. The distance of the centre of mass from the origin is :

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If ve is escape velocity and v₀ is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by

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A slab of stone of area 0.36 m² and thickness 0.1 m is exposed on the lower surface to steam at 100°C. A block of ice at 0°C rests on the upper surface of the slab. In one hour 4.8 kg of ice is melted. The thermal conductivity of slab is (Given latent heat of fusion of ice = 3.36 × 10⁵ J kg⁻¹)

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The equation of a simple harmonic wave is given by y = 3 sin (π/2)(50t − x), where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is

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A train moving at a speed of 220 m s⁻¹ towards a stationary object emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is (speed of sound in air is 330 m s⁻¹)

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A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is

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Two metallic spheres of radii 1 cm and 3 cm are given charges of −1 × 10⁻² C and 5 × 10⁻² C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

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A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an α-particle to describe a circle of same radius in the same field?

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A magnetic needle suspended parallel to a magnetic field requires √3 J of work to turn it through 60°. The torque needed to maintain the needle in this position will be

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The instantaneous values of alternating current and voltage in a circuit are given as i = (1/√2) sin(100πt) ampere e = (1/√2) sin(100πt + π/3) volt The average power in watts consumed in the circuit is

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The ratio of amplitude of magnetic field to the amplitude of electric field for an electromagnetic wave propagating in vacuum is equal to :

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For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index :

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A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that its end closer to the pole is 20 cm away from the mirror. The length of the image is :

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If the momentum of electron is changed by P, then the de Broglie wavelength associated with it changes by 0.5%. The initial momentum of electron will be

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Two radiations of photons energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of work function 0.5 eV. The ratio of the maximum speeds of the emitted electrons is :

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The transition from the state n = 3 to n = 1 in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from :

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Paper Info

Exam: AIPMT Mains
Year: 2012
Questions: 89
Duration: 89 mins

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