A string 1,,m long is drawn by a 300,,Hz vibrator attached to its end. string vibrates in 3 segments

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14.Waves and Sound

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A string $1\,\,m$ long is drawn by a $300\,\,Hz$ vibrator attached to its end. The string vibrates in $3$ segments. The speed of transverse waves in the string is equal to .... $m/s$

A

$100$

B

$200$

C

$300$

D

$400$

Solution

$\ell=1 \mathrm{m} \mathrm{f}=300 \mathrm{Hz}$

$\frac{3}{2} \lambda=\ell ; \mathrm{f}=\frac{\mathrm{v}}{\ell} ; \lambda=\frac{2 \ell}{3} ; \mathrm{v}=\mathrm{f} \lambda$

$v=300 \times \frac{2}{3} \times 1=200 \mathrm{m} / \mathrm{s}$

Standard 11

Physics

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