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JEE Advance 2008
Paper-2
Question
A transverse sinusoidal wave moves along a string in the positive $x$-direction at a speed of $10 \mathrm{~cm} /$ s . The wavelength of the wave is 0.5 m and its amplitude is 10 cm . At a particular time t , the snapshot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is
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Select the correct option:
A
$\frac{\sqrt{3} \pi}{50} \hat{\mathrm{j}} \mathrm{m} / \mathrm{s}$
B
$-\frac{\sqrt{3} \pi}{50} \hat{\mathrm{j}} \mathrm{m} / \mathrm{s}$
C
$\frac{\sqrt{3} \pi}{50} \hat{\mathrm{i}} \mathrm{m} / \mathrm{s}$
D
$-\frac{\sqrt{3} \pi}{50} \hat{\mathrm{i}} \mathrm{m} / \mathrm{s}$
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Solution
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