A wave of frequency $100$ Hz is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of $10$ cm from the fixed end of the string. The speeds of incident(and reflected) waves are?

5

c m s^{- 1}

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10

c m s^{- 1}

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20

c m s^{- 1}

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40

c m s^{- 1}

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Solution

The correct option is B $5$ $c m s^{- 1}$
Given frequency $ν$ =100 H.
Also distance between two successive nodes $=> \frac{λ}{2} = 10 λ = 20 c m$
And we know $ν = n λ n = \frac{ν}{λ} = \frac{100}{20} = 5 c m / s$

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A wave of frequency 100 Hz is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of 10 cm from the fixed end of the string. The speeds of incident(and reflected) waves are?

The correct option is B 5 cms−1Given frequency ν=100 H. Also distance between two successive nodes=>λ2=10λ=20cmAnd we know ν=nλn=νλ=10020=5cm/s

A wave of frequency $100$ Hz is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of $10$ cm from the fixed end of the string. The speeds of incident(and reflected) waves are?

The correct option is B $5$ $c m s^{- 1}$
Given frequency $ν$ =100 H.
Also distance between two successive nodes $=> \frac{λ}{2} = 10 λ = 20 c m$
And we know $ν = n λ n = \frac{ν}{λ} = \frac{100}{20} = 5 c m / s$