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NEET
Exam
NEET
Subject
Physics
Chapter
Waves and Sound

NEET · Physics · Waves and Sound

A transverse sinusoidal wave moves along a string in the positive x...

A transverse sinusoidal wave moves along a string in the positive xx-direction at a speed of 10 cm/s10 \mathrm{~cm} / \mathrm{s}. The wavelength of the wave is 0.5 m0.5 \mathrm{~m} and its amplitude is 10 cm10 \mathrm{~cm}. At a particular time tt, the snap-shot of the wave is shown in figure. The velocity of point PP when its displacement is 5 cm5 \mathrm{~cm} is A transverse sinusoidal wave moves along a string in the positive x -direction at a speed of 10 ~cm / s . The

Options

  1. A3π50j^m/s\frac{\sqrt{3} \pi}{50} \hat{\mathbf{j}} \mathrm{m} / \mathrm{s}
  2. B−3π50j^ m/s-\frac{\sqrt{3} \pi}{50} \hat{j} \mathrm{~m} / \mathrm{s}
  3. C3π50i^m/s\frac{\sqrt{3} \pi}{50} \hat{\mathbf{i}} \mathrm{m} / \mathrm{s}
  4. D−3π50i^m/s-\frac{\sqrt{3} \pi}{50} \hat{\mathbf{i}} \mathrm{m} / \mathrm{s}

Correct answer

A. 3π50j^m/s\frac{\sqrt{3} \pi}{50} \hat{\mathbf{j}} \mathrm{m} / \mathrm{s}

Step-by-step solution

Particle velocity vp=−vv_p=-v (slope of y−xy-x graph) Here,v=+vev=+v e, as the wave is travelling in positive xx-direction. Slope at PP is negative. ∴\therefore Velocity of particle is in positive y(+j→)y(+\overrightarrow{\mathbf{j}}) direction. ∴\therefore correct option is (a).
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