If speed of a transverse wave on a stretched string of length 1 m is 60 m/s, what is the fundamental frequency of vibration?

10 Hz

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30 Hz

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40 Hz

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70 Hz

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Solution

The correct option is B 30 Hz
For the fundamental mode of a stretched string (as shown in the figure)
$L = λ / 2$
$\Rightarrow λ = 2 L$
$\Rightarrow ν_{0} = \frac{v}{λ} = \frac{v}{2 L} = 60 / 2 = 30$ $H z$

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If speed of a transverse wave on a stretched string of length 1 m is 60 m/s, what is the fundamental frequency of vibration?

The correct option is B 30 HzFor the fundamental mode of a stretched string (as shown in the figure)L=λ/2⇒λ=2L⇒ν0=vλ=v2L=60/2=30 Hz

The correct option is B 30 Hz
For the fundamental mode of a stretched string (as shown in the figure)
$L = λ / 2$
$\Rightarrow λ = 2 L$
$\Rightarrow ν_{0} = \frac{v}{λ} = \frac{v}{2 L} = 60 / 2 = 30$ $H z$