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A violin string emits sound waves with a...

A violin string emits sound waves with a frequency of 850 Hz as shown in the given figure.

If the speed of sound in air is 340 m s`""^(-1)`, the distance between points A and B is

A

6 m

B

7 m

C

60 cm

D

70 cm

Text Solution

Verified by Experts

The correct Answer is:
D
Given, frequency, `v = 850` Hz
Speed of sound,`v = 340"m s"^(-1)`
`therefore` Wavelength of the sound wave,
`lambda = (v)/( upsilon) = (340)/(850) m = (2)/(5) m`
Now, distance between points `A and B`,
` = (7 lambda)/(4) = (7)/(4) xx (2)/(5) m = 0.7 m = 70 cm`
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