A wave represented by the given equation y = a cos ( kx - $ω$ t ) is superposed

with another wave to form a stationary wave such that the point x = 0 is a

node. The equation for the other wave is

AIIMS 1998; SCRA 1998; MP PET 2001; KCET 2001;

AIEEE 2002; UPSEAT 2004]

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Solution

The correct option is B

Since the point x = 0 is a node and reflection is

taking place from point x =0. This means that

reflection must be taking place from the fixed

end and hence the reflected ray must suffer

an additional phase change of $π$ or a path change of $\frac{π}{2}$ .

So, if $y_{i n c i d e n t} = a c o s (k x - ω t)$

$\Rightarrow y_{r e f l e c t e d} = a c o s (- k x - ω t + π) = - a c o s (ω t + k x)$

Suggest Corrections

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