y=3 sin ⁡ ( t2- x4) represents an equation of a progressive wave, where t is in second and x is in metre. The distance travelled by the wave in 5 seconds is

Question

Accepted Answer

Correct answer: B. (b)The given equation of a progressive wave is y=3 sin ⁡ ( t2- x4)=3 sin ⁡2 ( t4- x8) (i) The standard equation of a progressive wave is y=y_0 sin ⁡2 ( tT- x ) (ii) Comparing (i) and (ii), we get T=4 s , =8 m Velocity of wave, v= T= 84=2 m s^-1. Distance travelled by wave in time t is S= vt or S=2 5=10 m (As t=5 s (given)).

$y = 3 sin π (\frac{t}{2} - \frac{x}{4}) represents an equation of a progressive wave, where t is in second and x is in metre. The distance travelled by the wave in 5 seconds is$

Solution

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