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Particles $p$ and $q$ are undergoing uniform circular motion along concentric circles of different radii in clockwise direction. $p$ complete each round in $2 \min$ and $q$ complete each round in $5 \min$ . Then, time required for $q$ to make one complete revolution around $p$ is

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3 \min

10 \min

3.33 \min

can not say

answer is C.

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Detailed Solution

Particles

p

and

q

are undergoing uniform circular motion along concentric circles of different radii in the clockwise direction.

p

complete each round in

2 \min

and

q

complete each round in

5 \min

. Then, the time required for

q

to make one complete revolution around

p

3.33 \min

.
Let

t_{1} = 5 \min, t_{2} = 2 \min

and

t

be the time for

q

to make one complete revolution around

p

.
By using formula

t = \frac{t_{1} t_{2}}{t_{1} - t_{2}}

= \frac{5 \times 2}{5 - 2}

= \frac{10}{3}

≃ 3.33 \min

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