AIPMT 2008 Prelims

180 Questions • 180 Minutes • 2008

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Which two of the following five physical parameters have the same dimensions? (a) energy density (b) refractive index (c) dielectric constant (d) Young's modulus (e) magnetic field

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If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be

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The distance travelled by a particle starting from rest and moving with an acceleration (4/3) m s⁻², in the third second is

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A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 m s⁻¹ to 20 m s⁻¹ while passing through a distance 135 m in t second. The value of t is

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A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be

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Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be

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Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine? (g = 10 m/s²)

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A shell of mass 200 g is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is

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The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is

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A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90°. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is

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If Q, E and W denote respectively the heat added, change in internal energy and the work done in a closed cycle process, then

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On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39° W and 239° W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39° C on the Celsius scale?

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At 10°C the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At 110°C this ratio is

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Two simple harmonic motions of angular frequency 100 and 1000 rad s⁻¹ have the same displacement amplitude. The ratio of their maximum accelerations is

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The wave described by y = 0.25 sin(10πx − 2πt), where x and y are in metres and t in seconds, is a wave travelling along the

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A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin(ωt + π/6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?

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Two points are located at a distance of 10 m and 15 m from the source of oscillation. The period of oscillation is 0.05 sec and the velocity of the wave is 300 m/sec. What is the phase difference between the oscillations of two points?

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The velocity of electromagnetic radiation in a medium of permittivity ε₀ and permeability μ₀ is given by

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Two periodic waves of intensities I₁ and I₂ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

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Two thin lenses of focal lengths f₁ and f₂ are in contact and coaxial. The power of the combination is

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Paper Info

Exam: AIPMT Prelims
Year: 2008
Questions: 180
Duration: 180 mins

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