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

y = a sin (ω t - k x)

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y = - a sin (ω t - k x)

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y = a cos (ω t - k x)

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y = - a cos (ω t - k x)

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Solution

The correct option is B $y = - a sin (ω t - k x)$
$y = a sin (ω t - k x)$
$y_{1} + y_{2} = 0 a t x = 0$
$∴ a sin ω t + y_{2} = 0$
$y_{2} = - a sin ω t$
$∴ y_{2} = - a sin (ω t - k x)$
$o r y_{2} = - a sin (ω t + k x)$

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Similar questions

y = a s i n (ω t - k x)

y = a cos (ω t - k x)

x = 0

Which of the following two wave equations can form stationary wave?

(i) $Y = A s i n (ω t - k x)$

(ii) $Y = A c o s (ω t - k x)$

(iii) $Y = A s i n (ω t + k x)$

(iv) $Y = A c o s (ω t + k x)$

y = A sin (ω t - k x)

y = A sin (ω t + k x)

y = a s i n (ω t - k x)

y = a c o s (ω t - k x)

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