The equation of wave travelling in a medium is given by y(x, t) = 4.0 sin(20 × 10^{–3}x + 600t)mm.

Question

The equation of wave travelling in a medium is given by \(y(x,\ t) = 4.0\ sin(20\times 10^{-3}x + 600t)mm.\) The velocity of wave is \(n\times 10^4 \ m / s\). Find n.

(1) 7

(2) 5

(3) 4

(4) 3

Answer 1

Correct option is : (4) 3

\(\text{Velocity of wave} = \frac{\text{Coefficient of t}}{\text{Coefficient of x}}\)

\( = \frac{600}{20\times 10^{-3}}\)

\( = 3\times 10^4\ m / s\)

n = 3