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Standard XII

Physics

Wavelength

Two sinusoida...

Question

Two sinusoidal waves with same wavelengths and amplitudes travel in opposite directions along a string with a speed $10$ m $s^{- 1}$ . If the minimum time interval between two instant when the string is flat is $0.5$ s, the wavelength of the waves is?

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Solution

The correct option is D $10$ m
Given frequency $f$ = $\frac{1}{t}$ and velocity $ν$ =10 m/s
We know $ν = λ f λ = \frac{ν}{f} = \frac{10}{\frac{1}{0.5}} = 5 m$
Since both the waves are similar but moves in opposite direction its toatl wavelength of the wave will be 10 m

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Two sinusoidal waves with same wavelengths and amplitudes travel in opposite directions along a string with a speed 10 m s−1. If the minimum time interval between two instant when the string is flat is 0.5s, the wavelength of the waves is?

The correct option is D 10 mGiven frequency f=1t and velocity ν=10 m/sWe know ν=λfλ=νf=1010.5=5mSince both the waves are similar but moves in opposite direction its toatl wavelength of the wave will be 10 m

Two sinusoidal waves with same wavelengths and amplitudes travel in opposite directions along a string with a speed $10$ m $s^{- 1}$ . If the minimum time interval between two instant when the string is flat is $0.5$ s, the wavelength of the waves is?

The correct option is D $10$ m
Given frequency $f$ = $\frac{1}{t}$ and velocity $ν$ =10 m/s
We know $ν = λ f λ = \frac{ν}{f} = \frac{10}{\frac{1}{0.5}} = 5 m$
Since both the waves are similar but moves in opposite direction its toatl wavelength of the wave will be 10 m