Q: A stiff wire is bent into a cylinder loop of diameter D. It is clamped by knife edges at two points opposite to each other. A transverse wave is sent around the loop by means of a small vibrator which acts close to one clamp. The resonance frequency (fundamental mode) of the loop in terms of wave speed v and diameter D is

(a) $\displaystyle \frac{v}{D} $

(b) $ \displaystyle \frac{2 v}{\pi D} $

(c) $ \displaystyle \frac{v}{\pi D} $

(d) $ \displaystyle \frac{v}{2\pi D} $

Ans: (c)

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