Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2008Paper 2
Exam
JEE Advanced
Year
2008
Paper
Paper 2
Subject
Physics
Chapter
Waves and Sound

JEE Advanced 2008 · Paper 2 · 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).
Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

List-I shows four configurations made of straight and semi-circular narrow tubes… JEE Advanced 2026A transverse wave on a string is described by y = 3 (36t + 0.018x + π/4) , where x, y are… JEE Main 2026The equation of a plane progressive wave is given by y = 5 π(200t - (x)/(150)) where x… JEE Main 2026The speed of a longitudinal wave in a metallic bar is 400 ~m / s . If the density and… JEE Main 2026Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A… JEE Main 2026A point source is kept at the center of a spherically enclosed detector. If the volume of… JEE Main 2026The fifth harmonic of a closed organ pipe is found to be in unison with the first… JEE Main 2026The velocity of sound in air is doubled when the temperature is raised from 0^ ∘ C to α^… JEE Main 2026 Full Waves and Sound list All JEE Advanced PYQs