A wave pulse in a string is described by the equation y 1 = 5 3 x - 4 t 2 + 2 and another wave pulse in the same string is described by y 2 = - 5 3 x + 4 t - 6 2 + 2 . The values of y 1 , y 2 and x are in metres and t is in seconds. Which of the following statement is correct?

Question

A wave pulse in a string is described by the equation y 1 = 5 3 x - 4 t 2 + 2 and another wave pulse in the same string is described by y 2 = - 5 3 x + 4 t - 6 2 + 2 . The values of y 1 , y 2 and x are in metres and t is in seconds. Which of the following statement is correct?, y 1 travels along - x -direction and y 2 along + x -direction, Both y 1 and y 2 travel along + x -direction, At x = 1 m , y 1 and y 2 always cancel, At time t = 1 s , y 1 and y 2 exactly cancel everywhere

MARKS App · Accepted Answer

∵ Given, y 1 = 5 3 x - 4 t 2 + 2 , y 2 = - 5 3 x + 4 t - 6 2 + 2 According option d , at x = 1 y 1 = 5 3 - 4 t 2 + 2 y 2 = - 5 3 + 4 t - 6 2 + 2 = - 5 3 - 4 t 2 + 2 Both wave pulse equation are existing in same string therefore resultant equation of wave pulse. y = y 1 + y 2 = 0 Hence, option At x = 1 m , y 1 and y 2 always cancel is correct.

Search any question & find its solution

Looking for more such questions to practice?