A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency f 1 . The frequency of oscillations if a mass 9 m is suspended from the same spring is f 2 . The value

Question

A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency f 1 . The frequency of oscillations if a mass 9 m is suspended from the same spring is f 2 . The value of f 1 f 2 is _____ .

TestHub · Accepted Answer

Frequency of oscillation of a spring-block system is given by, f = 1 2 π k m Therefore, for both cases, we can write f 1 = 1 2 π k m and f 2 = 1 2 π k 9 m Required ratio, f 1 f 2 = 9 1 = 3 1

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