4. Two particles, A and B, are in uniform circular motion about a common center. The acceleration of particle A is 7.3 times that of particle B. The period of particle B is 2.5 times the period of particle A. The ratio of the radius of the motion of particle A to that of particle B is closest to

The ratio of he radius of the motion of particle A to that of particle B is closest to 1.16.

Explanation:

Let are accelerations of particle and radius of A and B respectively. It is given that :

The centripetal acceleration is given by the formula as :

r is the radius of motion

Since,

For A

.........(1)

For B

...........(2)

Dividing equation (1) and (2) we get :

Now using given conditions :

So, the ratio of he radius of the motion of particle A to that of particle B is closest to 1.16.

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