1.

A wave `y = a sin (omegat - kx)` on a string meets with another wave producing a node at `x = 0`. Then the equation of the unknown wave isA. (a) `y = a sin (omegat + kx)`B. (b) `y = -a sin (omegat + kx)`C. ( c ) `y = a sin (omegat - kx)`D. (d) `y = -a sin (omegat - kx)`

Answer» Correct Answer - B
(b) To form a node there should be superposition of this wwave with the reflected wave. The reflected wave should travel in opposite direction with a phase change of `pi`. The equation of the reflected wave will be
`y = a sin (omegat + kx +pi)`
rArr `y = -a sin (omegat + kx)`


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