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Standard X

Physics

Electromagnetic Spectrum

A rope suppor...

Question

A rope supports a standing wave with a total of 4 nodes. It fixed at the both ends. Calculate the wavelength of the wave if the length of rope is 6 m.

0.67 m

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1.2 m

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1.5 m

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3 m

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4 m

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Solution

The correct option is E 4 m

As rope is fixed at both ends so at both fixed ends there will be two nodes and rest of two will be in between of them. It is given that rope has four nodes

therefore length of rope $L = \frac{3 λ}{2}$

but given that $L = 6 m$

so, $6 = \frac{3 λ}{2}$

or $λ = 4 m$

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A rope supports a standing wave with a total of 4 nodes. It fixed at the both ends. Calculate the wavelength of the wave if the length of rope is 6 m.

The correct option is E 4 m As rope is fixed at both ends so at both fixed ends there will be two nodes and rest of two will be in between of them. It is given that rope has four nodes therefore length of rope L=3λ2 but given that L=6m so, 6=3λ2 or λ=4m

The correct option is E 4 m

As rope is fixed at both ends so at both fixed ends there will be two nodes and rest of two will be in between of them. It is given that rope has four nodes

therefore length of rope $L = \frac{3 λ}{2}$

but given that $L = 6 m$

so, $6 = \frac{3 λ}{2}$

or $λ = 4 m$