Question

Two bodies of mass 10k and 5kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal acceleration is: 

(A) R/r 

(B) r/R 

(C) R² /r² 

(D) r² /R²

Answer 1

Correct option is (A) R/r

Centripetal acceleration = \(r\omega^2(or\, \frac {v^2}r)\)

Given that both have same periods.

So ω₁ = ω₂

a₁ = Rω²

a₂ = rω²

\(\frac{a_1}{a_2} = \frac Rr\)

Answer 2

Correct answer is (A) R/r