Question

A body is moving along a circular path with a constant speed. It has a centripetal acceleration (a). If its speed is double, then ratio of its acceleration after and before the change is given by

• A. 1:4
• B. 2:1
• C. 4:1
• D. 3:1

Answer 1

The correct option is C 4:1

$\begin{array}{c}{a}_1=\frac{v_1^2}{R}\\ a_2=\frac{{\left(2v_1\right)}^2}{R}=\frac{4v_1^2}{R}\\ \therefore \frac{a_1}{a_2}=\frac{1}{4}\\ \Rightarrow \frac{a_2}{a_1}=4:1\\ Hence,\\ optionCiscorrectanswer.\end{array}$