A tuning fork vibrating with a sonometer having $$20$$ cm wire produces $$5$$ beats per second. The beat frequency does not change if the length of the wire is changed to $$21$$ cm. the frequency of the tuning fork (in$$ $$Hertz) must be

Question

Infinity Learn · Accepted Answer

Let the frequency of tunning fork be NAs the frequency of vibration string ∝$$1length$$ of ​stringFor sonometer wire of length $$20$$ cm, frequency must be (N$$ $$+$$ $$5) and that for the sonometer wire of length $$21cm$$, the frequency must be (N$$ – $$5) as in each case the tunning fork produces $$5$$ $$beats/$$$$sec$$ with sonometer wire Hence $$n1l1=n2l2$$⇒(N+5)×$$20=(N$$−$$5)$$×$$21$$⇒$$N=205Hz$$.

A tuning fork vibrating with a sonometer having 20 cm wire produces 5 beats per second. The beat frequency does not change if the length of the wire is changed to 21 cm. the frequency of the tuning fork (in Hertz) must be

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