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Question: The speed of transverse vibrations in a stretched string is 700 cm/s. If the string is 2 m long, the...

The speed of transverse vibrations in a stretched string is 700 cm/s. If the string is 2 m long, the frequency with which it resonates in fundamental mode is –

A

72\frac{7}{2}Hz

B

74\frac{7}{4}Hz

C

14 Hz

D

27\frac{2}{7}Hz

Answer

74\frac{7}{4}Hz

Explanation

Solution

Q L = λ2\frac{\lambda}{2} \ l = 2L & n = vλ\frac{v}{\lambda}= 74\frac{7}{4}Hz