Verified Solution • 2025–26 Session moderate

QJEEM12Pha736: JEE Main 2012 Physics - Class 11 JEEM12Pha736 Solution: Two cars of masses m 1 and m 2 are moving in circles of radii r …

Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is

Multiple Choice Options

  • A m1r1 : m2r2
  • B m1 : m2
  • C r1 : r2
  • D 1:01

Step-by-Step Verified Solution

We know, a=r w2=r×(2πT)2a = r\,{w^2} = r \times {\left( {{{2\pi } \over T}} \right)^2}

Given, T1=T2=T{T_1} = {T_2} = T

a1=r1×(2πT)2{a_1} = {r_1} \times {\left( {{{2\pi } \over T}} \right)^2}

a2=r2×(2πT)2{a_2} = {r_2} \times {\left( {{{2\pi } \over T}} \right)^2}

∴\therefore a1a2=r1r2{{{a_1}} \over {{a_2}}} = {{{r_1}} \over {{r_2}}}

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