AIPMT 2005 physics questions with solutions

Showing 1–10 of 12 questions

• MCQmediumWork , Power and Energykinetic energy and work energy theorem

  A bomb of mass 30 kg initially at rest explodes into pieces 18 kg and 12 kg. The 18 kg piece moves at 6 m s⁻¹. Find kinetic energy of the 12 kg piece.

  Options

  • Option A

    324 J

  • Option B

    486 J

  • Option C

    256 J

  • Option D

    524 J

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• MCQeasyUnit dimension and errorDimension and its application

  The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of:

  Options

  • Option A

    time

  • Option B

    frequency

  • Option C

    angular momentum

  • Option D

    velocity

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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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• MCQmediumKinematics Part-1 (one dimension)Distance,Displacement ,Avg speed and Avg velocity

  Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v₁. The boy at A starts running simultaneously with velocity v and catches the other in time t, where t is equal to:

  Options

  • Option A

    a/√(v²+v₁²)

  • Option B

    a/(v+v₁)

  • Option C

    a/(v-v₁)

  • Option D

    a/√(v²-v₁²)

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  A planet has the same mean density as Earth but is three times larger in radius. If Earth’s surface gravity is g, then gravity on the planet is:

  Options

  • Option A

    g/9

  • Option B

    27g

  • Option C

    9g

  • Option D

    3g

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

  The displacement x of a particle varies with time t as x = ae⁻ᵅᵗ + beᵝᵗ, where a, b, α and β are positive constants. The velocity of the particle will:

  Options

  • Option A

    be independent of β

  • Option B

    drop to zero when α = β

  • Option C

    go on decreasing with time

  • Option D

    go on increasing with time

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• MCQeasyRotational Motionangular momentum in pure rotation and its conservation

  Two rigid bodies have moments of inertia I and 2I about their axes and equal rotational kinetic energy. The ratio of their angular momenta is:

  Options

  • Option A

    2:1

  • Option B

    1:2

  • Option C

    √2:1

  • Option D

    1:√2

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• MCQmediumWork , Power and Energyquestion based on work

  Force F acting on an object varies with displacement x as the shown graph: F=3 N from x=0 to 3 m, then decreases linearly to zero at x=6 m. Find work done from x=0 to x=6 m.

  

  Options

  • Option A

    18.0 J

  • Option B

    13.5 J

  • Option C

    9.0 J

  • Option D

    4.5 J

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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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• MCQeasyMathematical tools and vector

  If θ is the angle between A and B, find the scalar triple product (A×B)·A.

  Options

  • Option A

    BA²sinθ

  • Option B

    BA²cosθ

  • Option C

    BA²sinθcosθ

  • Option D

    zero

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