A certain string will resonant to several frequencies, lowest of which is 200 ,cps . What are next t

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14.Waves and Sound

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A certain string will resonant to several frequencies, the lowest of which is $200 \,cps$. What are the next three higher frequencies to which it resonants?

A

$400,600,800$

B

$300,400,500$

C

$100,150,200$

D

$200,250,300$

Solution

(a)

Resonant frequency occurs according to $\frac{n v}{2 l}$ and when $n=1$ frequency is minimum.

Hence $\frac{v}{2 l}=200[n=1]$

Other resonant frequencies will be simply multiples of fundamental frequency. Hence $(a)$ is the answer.

Standard 11

Physics

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