If a progressive wave is represented as y=2 ( t 2 - x 4 ) where x is in metre and t is in second, then the distance travelled by the wave in 5 ~s is

Step-by-step solution

array l Given, y=3 ( t 2 - x 4 ) =3 ( t 2 - x 4 ) array Comparing it with standard equation array l y=r 2 (v t-x) =r ( 2 v t - 2 x ) array We have, 2 v = 2 or v = 4 and 2 = 4 or =8 ~m v = 8 4 =2 ~m / s So, the distance travelled by wave in t second = vt =2 5=10 ~m