As momemtum is product of F and T ,it remains constant as F and T are same

Explanation:
When two bodies of different masses are acted upon by the same force for the same time, they both acquire the same momentum. This is because momentum is directly proportional to both mass and velocity. Let's break down the explanation into the following points:

1. Force and Acceleration:
According to Newton's second law of motion, force (F) acting on an object is equal to the product of its mass (m) and acceleration (a), i.e., F = ma. In this scenario, since the force acting on both bodies is the same, their acceleration will also be the same. Therefore, the answer cannot be option 'c' (acceleration).

2. Velocity:
After applying the same force for the same time on both bodies, they will experience the same acceleration. However, their masses are different, and as a result, their velocities will be different. So, the answer cannot be option 'a' (velocity).

3. Kinetic Energy:
Kinetic energy (KE) is given by the formula KE = (1/2)mv^2, where m is the mass of the object and v is its velocity. As mentioned earlier, the velocities acquired by the bodies will be different due to their different masses. Therefore, the answer cannot be option 'd' (kinetic energy).

4. Momentum:
Momentum (p) is defined as the product of an object's mass and its velocity, i.e., p = mv. Since the force acting on both bodies is the same for the same duration, they experience the same acceleration. As a result, both bodies acquire the same final velocity. However, their masses are different. Therefore, the product of mass and velocity, which is momentum, will be different for each body. Hence, the answer is option 'b' (momentum).

To summarize, when two bodies of different masses are acted upon by the same force for the same time, their velocities and kinetic energies will be different. However, their masses and accelerations will be the same. Consequently, the only quantity that will be the same for both bodies is their momentum.