If the force and displacement of a particle in direction of force are doubled. Work would be
times
Step 1 Given data:
The force() and displacement ()of a particle in direction of force are doubled. That is,
Step 2 Formula used:
Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
That is,
Step 3 Work:
The work of a particle in the direction of force is,
Here, the force() and displacement ()of a particle in the direction of force are doubled,
Therefore the new work is,
Substituting equation (1) in equation (2),
Therefore, if the force and displacement of a particle in direction of force are doubled then the work would be times. Hence, option B is correct.