A distance between two consecutive nodes on a stretched string is 10cm. It is in resonance with tuning fork of frequency 256Hz. What is the velocity of the progressive wave in the string?
A
6.40ms−1
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B
51.20ms−1
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C
25.60ms−1
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D
12.50ms−1
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Solution
The correct option is B51.20ms−1 Distance between two consecutive nodes = λ2⇒λ=0.2 m. The velocity of the progressive wave in the string is v=ν×λ=256×0.2=51.2 m/s.