A metallic rod of length 2.0 m is rigidly clamped at its middle point. A longitudinal wave is set up in the rod in such a way that there will be 3 nodes on either side of the clamped point. Then the wavelength of the longitudinal wave so produced is

2/7 m

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4/7 m

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2/5 m

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4/5 m

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Solution

The correct option is A 4/7 m
$\frac{3 λ}{2} + \frac{λ}{4} = \frac{L}{2}$

$\frac{7 λ}{4} = \frac{L}{2}$

$λ = \frac{2 L}{7}$
$λ = \frac{4}{7} m$

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A metallic rod of length 2.0 m is rigidly clamped at its middle point. A longitudinal wave is set up in the rod in such a way that there will be 3 nodes on either side of the clamped point. Then the wavelength of the longitudinal wave so produced is

The correct option is A 4/7 m3λ2+λ4=L27λ4=L2λ=2L7λ=47m

The correct option is A 4/7 m
$\frac{3 λ}{2} + \frac{λ}{4} = \frac{L}{2}$

$\frac{7 λ}{4} = \frac{L}{2}$

$λ = \frac{2 L}{7}$
$λ = \frac{4}{7} m$