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Physics Wave and Sound Stationary Waves MCQ (Single Correct)

A wave represented by the equation: y = a cos (kx –ꞷt) 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 + ꞷt)
B
– a cos (kx – ꞷt)
C
– a cos (kx + ꞷt)
D
– a sin (kx – ꞷt)

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The correct answer is:
C

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

y = a cos (kx + ꞷt + π π )

= – a cos (kx + ꞷt)

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