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(D) When two sinusoidal waves of the same frequency and amplitude travel in opposite directions,they form a stationary wave.In a stationary wave,the s

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$10$

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(D) When two sinusoidal waves of the same frequency and amplitude travel in opposite directions,they form a stationary wave.In a stationary wave,the string becomes flat (all particles pass through their mean position) twice in one time period $T$.Therefore,the time interval between two consecutive instants when the string is flat is given by $\frac{T}{2}$.Given,$\frac{T}{2} = 0.5 \, s$,which implies $T = 1.0 \, s$.The relationship between wavelength $\lambda$,wave speed $v$,and time period $T$ is $\lambda = v 	imes T$.Substituting the given values,$\lambda = 10 \, ms^{-1} 	imes 1.0 \, s = 10 \, m$.

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

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