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Question: A wave represented by the equation : y = a cos (kx –wt) is superposed with another wave to form a st...

A wave represented by the equation : y = a cos (kx –wt) is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation of the other wave is –

A

a sin (kx + wt)

B

– a cos (kx – wt)

C

– a cos (kx + wt)

D

– a sin (kx – wt)

Answer

– a cos (kx + wt)

Explanation

Solution

At x = 0, node is formed that is reflection takes place from rigid end, So equation of reflected wave.

y = a cos (kx + wt + p)

= – a cos (kx + wt)