Question

If the speed of a particle in circular motion is doubled and its radius is halved, then the centripetal force will

• A. increase six times
• B. increase eight times
• C. increase four times
• D. remain the same

Answer 1

Answer: (B)

increase eight times

$Answer:-$ B

Centripetal force is given by: $F=\frac{m{v}^2}{R}$

If $v=2v,R=\frac{R}{2}$

Than, $F=\frac{m({2v)}^2}{\frac{R}{2}}=\frac{8m{v}^2}{R}$