AIPMT Screening 2009 physics questions with solutions

Showing 1–10 of 12 questions

• MCQmediumWork , Power and Energyconservation of mechanical energy

  A mass M hangs from an initially unstretched vertical spring of spring constant k and is released from rest. Determine maximum spring extension.

  Options

  • Option A

    2Mg/k

  • Option B

    4Mg/k

  • Option C

    Mg/(2k)

  • Option D

    Mg/k

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• MCQeasyRotational Motiontorque and rotational equilibrium

  If $\vec{F}$ acts at position vector $\vec{r}$ , with torque $\vec{\tau}$ about the origin, which relations are always correct?

  Options

  • Option A

    $\vec{r}.\vec{\tau}$≠0 and $\vec{F}.\vec{\tau}$=0

  • Option B

    $\vec{r}.\vec{\tau}$>0 and $\vec{F}.\vec{\tau}$<0

  • Option C

    $\vec{r}.\vec{\tau}$=0 and $\vec{F}.\vec{\tau}$=0

  • Option D

    $\vec{r}.\vec{\tau}$=0 and $\vec{F}.\vec{\tau}$≠0

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

  A bus is moving with a speed of 10 m s⁻¹ on a straight road. A scooterist wants to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus?

  Options

  • Option A

    20 m s⁻¹

  • Option B

    40 m s⁻¹

  • Option C

    25 m s⁻¹

  • Option D

    10 m s⁻¹

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• MCQmediumCenter of maas , Momentum and Collisioncenter of mass and question based on it

  Two masses, 1 kg and 3 kg, have position vectors ($\hat{i}+2\hat{j}+\hat{k}$) m and ($-3\hat{i}-2\hat{j}+\hat{k}$) m respectively. Find the position vector of their centre of mass.

  Options

  • Option A

    -2$\hat{i}+2\hat{k}$

  • Option B

    -2$\hat{i}-\hat{j}+\hat{k}$

  • Option C

    2$\hat{i}-\hat{j}-2\hat{k}$

  • Option D

    -$\hat{i}-\hat{j}+\hat{k}$

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• MCQeasyNewtons law of motion and Frictionspring balcnce and weighting

  A lift has mass 2000 kg. The tension in its supporting cable is 28000 N. Find its acceleration (take g=10 m s⁻²).

  Options

  • Option A

    30 m s⁻² downward

  • Option B

    4 m s⁻² upward

  • Option C

    4 m s⁻² downward

  • Option D

    14 m s⁻² upward

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• MCQmediumRotational Motionmoment of inertia and kinetic energy in pure rotation

  Four identical uniform rods, each mass M and length ℓ, form a square frame. Find its moment of inertia through the square centre perpendicular to its plane.

  Options

  • Option A

    (4/3)Mℓ²

  • Option B

    (2/3)Mℓ²

  • Option C

    (13/3)Mℓ²

  • Option D

    (1/3)Mℓ²

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• MCQmediumWork , Power and Energykinetic energy and work energy theorem

  An engine continuously pumps a water jet at speed v. If m is the mass of water per unit length of jet, find the rate at which kinetic energy is imparted to the water.

  Options

  • Option A

    ½mv³

  • Option B

    mv²

  • Option C

    ½mv²

  • Option D

    ½m²v²

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  The figure shows an elliptical orbit of a planet around the Sun S. The shaded area SCD is twice the shaded area SAB. If t₁ is the time to move from C to D and t₂ is the time to move from A to B, then:

  

  Options

  • Option A

    t₁ > t₂

  • Option B

    t₁ = 4t₂

  • Option C

    t₁ = 2t₂

  • Option D

    t₁ = t₂

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• MCQeasyKinematics Part-1 (one dimension)Motion under constant acceleration

  A particle starts its motion from rest under the action of a constant force. If the distance covered in the first 10 s is s₁ and that covered in the first 20 s is s₂, then:

  Options

  • Option A

    s₂ = 2s₁

  • Option B

    s₂ = 3s₁

  • Option C

    s₂ = 4s₁

  • Option D

    s₂ = s₁

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• MCQmediumUnit dimension and errorDimensional Analysis

  If the dimensional formula of a physical quantity is [MᵃLᵇTᶜ], then the physical quantity will be:

  Options

  • Option A

    pressure, if a=1, b=-1, c=-2

  • Option B

    velocity, if a=1, b=0, c=-1

  • Option C

    acceleration, if a=1, b=1, c=-2

  • Option D

    force, if a=0, b=-1, c=-2

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