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1. (AIEEE 2002)

A wave y = a sin ⁡ ( ω t − k x ) on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is :

A. y = a sin ( ω t + k x )

B. y = − a sin ( ω t + k x )

C. y = a sin ( ω t − k x )

D. y = − a sin ( ω t − k x )

Correct Answer is Option (B)

To form a node there should be superposition of this wave with the reflected wave. The reflected wave should travel in opposite direction with a phase change of π . The equation of the reflected wave will be

y = a sin ⁡ ( ω t + k x + π )

⇒ y = − a sin ⁡ ( ω t + k x )