Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main201912 Jan 2019Morning ShiftPhysicsWaves and SoundActual

A travelling harmonic wave is represented by the equation y x , t = 10 - 3 sin 50 t + 2 x , where x and y are in meter and t is in seconds. Which of the following is a correct statement about the wave?

Options

  1. AThe wave is propagating along the positive x -axis with speed 25   m   s - 1
  2. BThe wave is propagating along the positive x -axis with speed 100   m   s - 1
  3. CThe wave is propagating along the negative x -axis with speed 25   m   s - 1
  4. DThe wave is propagating along the negative x -axis with speed 100   m   s - 1

Correct answer

C. The wave is propagating along the negative x -axis with speed 25   m   s - 1

Step-by-step solution

Given wave equation, y x ,   t = 10 - 3 sin 50 t + 2 x This equation is similar to the equation of wave travelling along the negative x -axis which is given by y x , t = A sin ω t + k x After comparing, Angular frequency ω = 50   s - 1 Wave number k = 2   m - 1 The wave velocity, v = ω k = 50 2 = 25   m   s - 1

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 containing air. A sound wave of wavelength = 0.29 m enters these structures at the point S and a so 2026A transverse wave on a string is described by y = 3 (36t + 0.018x + /4) , where x, y are in cm and t in seconds. The least distance between the two successive crests in the wave is 2026The equation of a plane progressive wave is given by y = 5 (200t - x 150 ) where x and y are in cm and t is in second. The velocity of the wave is _______ m/s. 2026The speed of a longitudinal wave in a metallic bar is 400 ~m / s . If the density and Young's modulus of the bar material are increased by 0.5 % and 1 % , respectively then the spe 2026Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A is loaded with wax, the beat frequency is reduced to 4 beats in 2 s. If the original freque 2026A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increased by 8 times, the intensity will 2026The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is 5 / x . 2026The velocity of sound in air is doubled when the temperature is raised from 0^ C to ^ C . The value of is _ _ _ _ . 2026 Full Waves and Sound list All JEE Main PYQs