The expression $y = a sin b x sin ω t$ represents a stationary wave. The distance between two consecutive nodes is -

\frac{π}{b}

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\frac{π}{2 b}

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\frac{2 π}{b}

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\frac{1}{b}

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Solution

The correct option is A $\frac{π}{b}$
$y = a sin b x sin t k = b \frac{2 π}{λ} = b = \frac{2 π}{b} S o, d i s t a n c e b e t w e e n t w o c o n s e c u t i v e n o d e s = \frac{λ}{2} = \frac{π}{b}$

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