Two bodies of unequal masses are dropped from a tower. At any instant, they have equal

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  1. Momentum
  2. Acceleration
  3. Potential energy
  4. Kinetic energy

Answer (Detailed Solution Below)

Option 2 : Acceleration
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Concept Used:

When two objects are in free fall (ignoring air resistance), their motion is governed by the force of gravity. The following points are relevant:

Acceleration: All objects experience the same acceleration due to gravity (g = 9.8 m/s2) regardless of their mass.

Momentum: Momentum (p) = mass × velocity. Since the bodies have different masses, their momenta will differ.

Kinetic Energy: KE = (1/2) × mass × velocity2. As mass differs, so does kinetic energy.

Potential Energy: PE = mass × g × height. Again, different masses result in different potential energies.

∴ The only quantity equal for both bodies is acceleration.

∴ The correct answer is Option 2: Acceleration.

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