Two identical spheres `A` and `B` are free to move and I, rotate about their centres. They are given the same impel `J`. The lines of action of the impulses pass through tht centre of `A` and away from the centre of `B`, then

Options

A. After the impulse is applied, centres of both the spheres acquire same velocity.
B. Total kinetic energy of Q will be more than that of P.
C. Angular velocity of P will remain zero whereas Q will start rotating,
D. Motion of both the spheres will be identical in all respects

Answer

A, B, C

Explanation

We can understand that same linear impulse is applied on both the spheres so they will acquire same linear momentum. Maases of spheres are same hence they will acquire same velocity. Hence option (a) is correct.
Impulse is passing through the centre of sphere hence it applies no angular impulse so it will only produce translatory motion in P whereas Impulse does not pass through the centre of sphere B hence it applies angular impulse about the centre and thus sphere Q acquires rotational speed also along with the linear speed. Since linear speed of both is same but Q has rotational motion also, hence total kinetic energy of Q will be more than that of P. Hence options (6) and (c) are correct.
In above discussion we can understand that option (d) is wrong