Standing waves are produced in 10 ,m long stretched string fixed at both ends. If string vibrates in

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14.Waves and Sound

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Standing waves are produced in $10 \,m$ long stretched string fixed at both ends. If the string vibrates in $5$ segments and wave velocity is $20 \,m / s$, the frequency is ....... $Hz$

A

$5$

B

$10$

C

$2$

D

$4$

Solution

(a)

The question refers to the $5^{\text {th }}$ harmonic of a vibrating wave.

Frequency of $5^{\text {th }}$ harmonic is $=\frac{n v}{21}=\frac{5 \times 20}{2 \times 10}=5 \,Hz$

Standard 11

Physics

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