Question

The equation of a wave disturbance is given as :

y = 0.02 cos$\left( \frac{\pi}{5} + 50\pi t \right)$cos (10px), where x and y are in metres and t in seconds. Choose the wrong statement –

• A. Antinode occurs at x = 0.3 m
• B. The wavelength is 0.2 m
• C. The speed of the constituent waves is 4 m/s
• D. Node occurs at x = 0.15 m

Answer 1

Answer: (A)

Antinode occurs at x = 0.3 m

Answer 2

x = 0.4 cos $\left\lbrack 8t - \frac{y}{2} \right\rbrack$

wt = 8t \ 2pnt = 8t \ n = $\frac{8}{2\pi}$= $\frac{4}{\pi}$