Pattern of standing waves formed on a stretched string at two instants of time (extreme, m

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14.Waves and Sound

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The pattern of standing waves formed on a stretched string at two instants of time (extreme, mean) are shown in figure. The velocity of two waves superimposing to form stationary waves is $360\, ms^{-1}$ and their frequencies are $256\, Hz$. Which is not possible value of $t$ (in $\sec$) :-

A

$9.8 × 10^{-4}$

B

$10^{-3}$

C

$2.9 × 10^{-3}$

D

$4.9 × 10^{-3}$

Solution

$\frac{\mathrm{T}}{4}=\frac{1}{\mathrm{f} \times 4}=\frac{1}{256 \times 4}=10^{-4} \times 9.8 \mathrm{\,sec}$

$\frac{3 \mathrm{T}}{4}=2.9 \times 10^{-3}$

$\frac{5 \mathrm{T}}{4}=4.9 \times 10^{-3}$

Standard 11

Physics

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