Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET Medical202623 April 2026Morning ShiftPhysicsWaves and SoundActual

The displacement of a wave is given by y = 0.004 (200t - 2x) , in SI units. This wave represents a wave

Options

  1. Aof wavelength one metre.
  2. Btraveling with a velocity of 100 m/s in the positive x-direction.
  3. Cof frequency 100 Hz.
  4. Dtraveling with a velocity of 100 m/s in negative x-direction.

Correct answer

B. traveling with a velocity of 100 m/s in the positive x-direction.

Step-by-step solution

The standard equation of a wave traveling in the positive x-direction is y = A ( t - kx) . The given equation is y = 0.004 (200t - 2x) . Comparing the given equation with the standard equation, we get: = 200 rad/s k = 2 rad/m The negative sign between the t and x terms indicates that the wave is traveling in the positive x-direction. The velocity of the wave is given by v = k . v = 200 2 = 100 m/s. Therefore, the wave is traveling with a velocity of 100 m/s in the positive x-direction.

Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

For the given wave equation y = 10 ( x 4 + t 2 ) , the CORRECT statement is ( where x is in metre and time t is in second.) 2026The source is emitting sound of frequency 'n'. A source and a listener both are moving towards each other with a speed equal to ( V 3 ) , where V is the speed of sound. The frequen 2026Two uniform strings X and Y made of same material made to vibrate under same tension. If the second overtone of string X is equal to the third overtone of string Y and the radius o 2026A simple harmonic progressive wave is represented as Y = 0.04 (2t - 0.02x) m. At a given instant of time, the phase difference between two particles 10 m apart is (in radian) 2026Two waves having same amplitude A , angular frequency and propagation constant k , traveling in opposite directions, have a phase difference of 60^ . If they interfere with each ot 2026Identify the CORRECT statement on beats (A) The amplitude of beats is always constant. (B) Beats are produced when two waves have the same frequency. (C) Beat frequency is the aver 2026An organ pipe closed at one end produces 5^ th overtone of an air column. It is found that air in the pipe is vibrating with x nodes and y antinodes. The value of x and y is 2026The speed of the transverse wave on the stretched string under tension T₁ is v₁ . If the tension in the string is increased by T₁ , the speed of the transverse wave is v₂ . If is t 2026 Full Waves and Sound list All MHT CET Medical PYQs