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The length of a stretched string betwee...

The length of a stretched string between two rigid supports is 40 cm. What would be the maximum length of a stationary wave that can be formed in the string ?

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Let the maximum wavelength that can be formed for the given string be `lambda` . For the stationary wave of masimum length, only two nodes are present and thet are at the two ends of the string. There is only one antinode between them. So the string vibrates in a single loop. Then the length of this loop ` = (lambda)/(2) = 40 cm ; so, lambda = 80 cm ` .
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