A string of length 1 m fixed at both ends is vibrating in 3^{rd} overtone. Tension in string is 200

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14.Waves and Sound

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A string of length $1\ m$ fixed at both ends is vibrating in $3^{rd}$ overtone. Tension in string is $200\ N$ and linear mass density is $5\ gm/m$ . Frequency of these vibrations is ..... $Hz$

A

$200$

B

$250$

C

$300$

D

$400$

Solution

$II{I^{rd}}$ overtone

$\mathrm{f}=\frac{4 \mathrm{V}}{2 \mathrm{L}}=\frac{2 \mathrm{V}}{\mathrm{L}}=\frac{2}{1} \sqrt{\frac{200}{(5 / 1000)}}=2(200)$

$\mathrm{f}=400 \mathrm{\,Hz}$

Standard 11

Physics

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