Question

The ratio of frequencies of two pendulums is 2:3 then their lengths are in ratio ___________

(a) √(2/3)

(b) √(3/2)

(c) 4/9

(d) 9/4

This question was posed to me in an interview.

The above asked question is from Simple Harmonic Oscillation topic in section Oscillations of Engineering Physics I

Answer 1

Right answer is (d) 9/4

For explanation I would say: v1/v2 = √(l2/l1)

l1/l2 = ((v2)^2)/((v1)^2)=9/4.