Answer:

so kinetic energy of the drum is half the kinetic energy of the particle
Step-by-step explanation:
Here we know that the particle is connected with the drum through a string
So here we can say that velocity of the particle is same as the tangential velocity of the drum as the particle is connected with the string which is wounded on the drum
So here we can say

now kinetic energy of the particle is given as

at the same time the rotational kinetic energy of the drum is given as




so kinetic energy of the drum is half the kinetic energy of the particle