AIPMT 2007 physics questions with solutions

Showing 1–10 of 11 questions

• MCQmediumKinematics Part-1 (one dimension)Acceleration and Avg acceleration

  A particle moving along the x-axis has acceleration f at time t given by f = f₀(1 - t/T), where f₀ and T are constants. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0, the particle's velocity vₓ is:

  Options

  • Option A

    ½f₀T²

  • Option B

    f₀T²

  • Option C

    ½f₀T

  • Option D

    f₀T

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• MCQmediumUnit dimension and errorDimension and its application

  Dimensions of resistance in an electrical circuit, in terms of mass M, length L, time T and current I, would be:

  Options

  • Option A

    [M L² T⁻²]

  • Option B

    [M L² T⁻¹ I⁻¹]

  • Option C

    [M L² T⁻³ I⁻²]

  • Option D

    [M L² T⁻³ I⁻¹]

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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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• MCQmediumMathematical tools and vector

  For two nonzero vectors A and B making an angle θ, the magnitudes satisfy |A×B|=√3(A·B). Find θ.

  Options

  • Option A

    45°

  • Option B

    30°

  • Option C

    90°

  • Option D

    60°

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

  A particle starting from the origin O(0,0) moves in a straight line in the (x,y) plane. At some later time its coordinates are (√3, 3). The path makes an angle of:

  Options

  • Option A

    45°

  • Option B

    60°

  • Option C

    0°

  • Option D

    30°

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• MCQmediumRotational Motionangular momentum in pure rotation and its conservation

  A particle of mass m travels with constant velocity v along the straight line AB shown in the xy-plane. Compare its angular momentum about origin O at A and B.

  

  Options

  • Option A

    Lₐ=Lᵦ

  • Option B

    comparison depends on slope AB

  • Option C

    Lₐ<Lᵦ

  • Option D

    Lₐ>Lᵦ

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• MCQeasyRotational Motionquestion based on pure rotation about fixed axis

  A wheel starts with angular speed 2 rad/s and has constant angular acceleration 3 rad/s². Through what angle does it turn in 2 seconds?

  Options

  • Option A

    10 rad

  • Option B

    12 rad

  • Option C

    4 rad

  • Option D

    6 rad

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• MCQmediumWork , Power and Energyconservation of mechanical energy

  A ball of mass m falls from height h above the free end of a vertical spring of force constant k, then compresses it by distance d. Find the net work done by gravity and spring during compression/fall.

  Options

  • Option A

    mg(h+d)-½kd²

  • Option B

    mg(h-d)-½kd²

  • Option C

    mg(h-d)+½kd²

  • Option D

    mg(h+d)+½kd²

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

  A car moves from X to Y with a uniform speed v₁ and returns to X with a uniform speed v₂. The average speed for this round trip is:

  Options

  • Option A

    √(v₁v₂)

  • Option B

    v₁v₂/(v₁+v₂)

  • Option C

    (v₁+v₂)/2

  • Option D

    2v₁v₂/(v₁+v₂)

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  Two satellites S₁ and S₂ of masses differing by a factor four move in the same orbit around Earth. Which statement is correct?

  Options

  • Option A

    Their gravitational potential energies are equal.

  • Option B

    Both satellites move with the same speed.

  • Option C

    Their kinetic energies are equal.

  • Option D

    The period of S₁ is four times that of S₂.

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