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Question: A wave is represented by x = 0.4 cos\(\left( 8t - \frac{y}{2} \right)\) where x and y are in metres ...

A wave is represented by x = 0.4 cos(8t−y2)\left( 8t - \frac{y}{2} \right) where x and y are in metres and t in seconds. The frequency of the wave is –

A

4π\frac{4}{\pi}sec–1

B

8π\frac{8}{\pi}sec–1

C

5π\frac{5}{\pi}sec–1

D

6π\frac{6}{\pi}sec–1

Answer

4π\frac{4}{\pi}sec–1

Explanation

Solution

x = 0.4 cos [8t−y2]\left\lbrack 8t - \frac{y}{2} \right\rbrack

wt = 8t \ 2pnt = 8t \ n = 82π\frac{8}{2\pi}= 4π\frac{4}{\pi}