AIPMT 2006 physics questions with solutions

Showing 1–10 of 11 questions

• MCQmediumKinematics Part-1 (one dimension)Instantaneous speed and instantaneous velocity

  A particle moves along a straight line OX. At a time t (in seconds), the distance x (in metres) of the particle from O is given by x = 40 + 12t - t³. How long would the particle travel before coming to rest?

  Options

  • Option A

    16 m

  • Option B

    24 m

  • Option C

    40 m

  • Option D

    56 m

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• MCQmediumWork , Power and Energyquestion based on work

  A 3 kg body experiences a constant force and its displacement follows s=t²/3 (metres), with t in seconds. Find work done in the first 2 s.

  Options

  • Option A

    19/5 J

  • Option B

    5/19 J

  • Option C

    3/8 J

  • Option D

    8/3 J

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• MCQeasyRotational Motionmoment of inertia and kinetic energy in pure rotation

  A uniform disc has mass M and radius R. Find its moment of inertia about an axis through its edge perpendicular to the disc.

  Options

  • Option A

    MR²

  • Option B

    MR²/2

  • Option C

    3MR²/2

  • Option D

    7MR²/2

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• MCQeasyKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  For angles of projection (45°-θ) and (45°+θ), the horizontal ranges described by the projectile are in the ratio:

  Options

  • Option A

    2 : 1

  • Option B

    1 : 1

  • Option C

    2 : 3

  • Option D

    1 : 2

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• MCQmediumRotational Motionquestion based on pure rotation about fixed axis

  A uniform rod of length ℓ and mass m pivots freely at one end A. It is released from rest from a horizontal position. Given I(A)=mℓ²/3, its initial angular acceleration is:

  

  Options

  • Option A

    gℓ/2

  • Option B

    (3/2)gℓ

  • Option C

    3g/(2ℓ)

  • Option D

    2g/(3ℓ)

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• MCQmediumRotational Motioncombined translatory and rotatory motion ,Pure rolling motion

  A cylindrical drum rolls without slipping down an incline. The static frictional force:

  Options

  • Option A

    dissipates energy as heat

  • Option B

    decreases rotational motion

  • Option C

    decreases both rotational and translational motion

  • Option D

    converts translational energy to rotational energy

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  A platform is at height R above Earth’s surface (Earth radius R). Escape speed from the platform is fv, where v is surface escape speed. Find f.

  Options

  • Option A

    1/2

  • Option B

    √2

  • Option C

    1/√2

  • Option D

    1/3

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• MCQmediumWork , Power and Energyconservation of mechanical energy

  300 J of work slides a 2 kg block up an inclined plane by height 10 m. How much work is done against friction? Use g=10 m s⁻².

  Options

  • Option A

    1000 J

  • Option B

    200 J

  • Option C

    100 J

  • Option D

    zero

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• MCQmediumUnit dimension and errorDimensional Analysis

  The velocity v of a particle at time t is given by v = at + b/(t+c), where a, b and c are constants. The dimensions of a, b and c are:

  Options

  • Option A

    [L], [LT] and [LT⁻²]

  • Option B

    [LT⁻²], [L] and [T]

  • Option C

    [L²], [T] and [LT²]

  • Option D

    [LT²], [LT] and [L]

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• MCQmediumWork , Power and Energyconservative force and potential energy

  A long spring stores potential energy U when stretched by 2 cm. What energy does it store when stretched by 8 cm?

  Options

  • Option A

    8U

  • Option B

    16U

  • Option C

    2U

  • Option D

    4U

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