The displacement vibration of a string of length 60cm fixed at both ends are represented by Y-4sin-x20cos 96-t nodes are located at distances - cm excluding the ends of string-

The correct option is B 20,40 λ=2πK=2ππ20=40cm ∴ nodes are separated by λ2 ⇒ positions are 20cm, 40cm ...

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Standard XII

Physics

Resonance in Sound Waves

The displacem...

Question

The displacement vibration of a string of length $60 c m$ fixed at both ends are represented by $Y = 4 sin (\frac{π x}{20}) cos 96 π$ t nodes are located at distances .... cm excluding the ends of string.

20, 40

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15, 45

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15, 40

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20, 45

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Solution

The correct option is B $20, 40$
$λ = \frac{2 π}{K} = \frac{2 π}{\frac{π}{20}} = 40 c m$
$∴$ nodes are separated by $\frac{λ}{2} \Rightarrow$ positions are $20 c m, 40 c m$

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The displacement vibration of a string of length 60cm fixed at both ends are represented by Y=4sin(πx20)cos96πt nodes are located at distances .... cm excluding the ends of string.

The correct option is B 20,40λ=2πK=2ππ20=40cm∴ nodes are separated by λ2 ⇒ positions are 20cm,40cm

The displacement vibration of a string of length $60 c m$ fixed at both ends are represented by $Y = 4 sin (\frac{π x}{20}) cos 96 π$ t nodes are located at distances .... cm excluding the ends of string.

The correct option is B $20, 40$
$λ = \frac{2 π}{K} = \frac{2 π}{\frac{π}{20}} = 40 c m$
$∴$ nodes are separated by $\frac{λ}{2} \Rightarrow$ positions are $20 c m, 40 c m$