Question

A progressive wave propagating in a medium is given by y=2sin(4t-3x) where y is in mm x is in m and t is in second.This wave gets reflected from a boundary at x=2m :

(A) If boundary is a free end then equation of reflected wave is given by y=2sin(4t+3x)

(B) If boundary is a free end then equation of reflected wave is given by y=2sin(4t+3x-12)

(C) If boundary is a fixed end then equation of reflected wave is given by y=2sin(3x-4t)

(D) If boundary is a fixed end then equation of reflected wave is given by y=2sin(12-3x+4t)​

Answer 1

Answer:

option A is correct

Explanation:

because for reflected wave direction changes so +x

Answer 2

Answer:

Option A

Explanation:

Among the various options given in question statement, the correct option is A.

When the equation of the progressive traveling wave is y = 2sin(4t-3x), then the equation of reflected wave would be given by y = 2sin(4t+3x). Note after reflection, the direction of the wave would reverse, which is being indicated by the sign associated with x