Two cars of mass ` m_(1) and m_(2) ` are moving in circle of radii `r_(1) and r_(2) ` , respectively . Their speeds are such that they make complete circles in the same time `t` . The ratio of their centripetal acceleration is :

Options

A. ` m _ 1 r _ 1 : m _ 2 r _ 2 `
B. ` m_1 : m_2 `
C. `r_1 : r _ 2 `
D. ` 1: 1 `

Answer

B

Explanation

Centripetal acceleration `a_(c)=omega^(2)r" Angular velocity "omega=(2pi)/(T)`
The cars makes complete circle in same time. As `T_(1)=T_(2) rArr omega_(1)=omega_(2)`
`therefore (a_(c_(1)))/(a_(c_(2))=r_(1)/r_(2)`