First slide

Standing waves

Question

A stretched string of length / fixed at both ends can sustain stationary waves of wavelength $λ$ Given by

Easy

A

$λ = n^{2} / 2 l$
B

${λ=l}^{2} / 2 n$
C

$λ = 2 l / n$
D

$λ = 2 \ln$

Solution

Both the ends will behave as nodes. So n^th mode of vibration
$n \times (\frac{λ}{2}) = l where n = 1, 2, 3, \dots λ = (\frac{L l}{n})$

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