A wave y = a ( t - kx) on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is

JEE Main 2002 Physics question

A wave on a string meets with another wave producing a node at . Then the equation of the unknown wave is

(1)
(2)Correct
(3)
(4)

Answer: (2)

Solution

A node at requires the resultant displacement there to be zero at all times. The given wave at is . With option (2), the second wave at is , so the sum is zero for all — and since it travels in the opposite direction, a stationary wave with a

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Question ID VK-037875