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A stretched string is vibrating according to the equation $y = 5 \sin (\frac{π x}{2}) \cos 4 π t,$ where y and x are in cm and t is in sec. The distance between the consecutive nodes on the string is

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$2 c m$

16 cm

8 cm

4 cm

answer is A.

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Detailed Solution

Here $λ = 4 c m$
Now distance between two consecutive nodes
$= \frac{λ}{2} = 2 c m$

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