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Question: A vibrating tuning fork generates a wave given by y = 0.1 sin p(0.1x – 2t), where x and y are in met...

A vibrating tuning fork generates a wave given by y = 0.1 sin p(0.1x – 2t), where x and y are in metre and t in second. The distance travelled by the wave while the fork completes 30 vibrations is –

A

600 m

B

20 m

C

30 m

D

200 m

Answer

600 m

Explanation

Solution

Comparing the equation with the standard equation,

y = a sin 2πλ\frac{2\pi}{\lambda} (vt – x)

we get 2πλ\frac{2\pi}{\lambda}= 0.1p or l = 20 m

\ The distance travelled = 20 m × 30 = 600 m