Question

The equation of a wave travelling on a string is $y=4sin(4\pi t-\frac{\pi }{16}x)$ if x and y are in centimetres, then velocity of wave is

• A. 64 cm/s in –ve x-direction
• B. 32 cm/s in –ve x-direction
• C. 32 cm/s +ve x-direction
• D. 64 cm/s in +ve x-direction

Answer 1

The correct option is D

64 cm/s in +ve x-direction

$y=4sin(4\pi t-\frac{\pi }{16}x)\omega =4\pi ,k=\frac{\pi }{16}v=\frac{\omega }{k}=\frac{4\pi }{\frac{\pi }{16}}=64cm/s$

In positive x – direction.