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Progressive Waves and the Displacement Relation for NEET: 19 solved questions

Real NEET paper questions on progressive waves and the displacement relation, part of waves. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 1988 to 2026. No sign-in needed to read them.

What this topic asks

• Wave parameters from the equation — 14 questions
• Particle velocity and wave velocity — 3 questions
• Nature of mechanical waves — 2 questions

All 19 questions with solutions

• For a travelling harmonic wave y(x,t)=2.0 cos 2π(10t-0.0080x+0.35), where x and y are in cm and t in s, the p… NEET 2026
• The displacement of a travelling wave is y=C sin (2π)/λ(at-x), where t is time, x is distance and λ is the wa… NEET 2024 Re
• A wave travelling in the +ve x-direction having displacement along y-direction as 1 m, wavelength 2π m and fr… NEET 2013
• The equation of a simple harmonic wave is given by y=3 sin π/2(50t-x), where x and y are in metres and t is i… NEET 2012 Mains
• Two waves are represented by the equations y₁=a sin(ω t+kx+0.57) m and y₂=a cos(ω t+kx) m, where x is in metr… NEET 2011
• A transverse wave is represented by y=A sin(ω t-kx). For what value of the wavelength is the wave velocity eq… NEET 2010
• A wave in a string has an amplitude of 2 cm. The wave travels in the +ve direction of x axis with a speed of… NEET 2009
• The wave described by y=0.25 sin(10π x-2π t), where x and y are in metres and t in seconds, is a wave travell… NEET 2008
• A transverse wave propagating along x-axis is represented by y(x,t)=8.0 sin (0.5π x-4π t-π/4) where x is in m… NEET 2006
• Which one of the following statements is true? NEET 2006
• The phase difference between two waves, represented by y₁=10⁻⁶ sin [100t+(x/(50))+0.5] m and y₂=10⁻⁶ cos [100… NEET 2004
• If a wave travelling in positive x-direction with A=0.2 m, velocity =360 m/s and λ=60 m, then correct express… NEET 2002
• The equation of a wave is represented by y=10⁻⁴ sin (100t-x/(10)) m, then the velocity of wave will be NEET 2001
• A transverse wave is represented by the equation y=y₀ sin (2π)/λ(vt-x). For what value of λ is the maximum pa… NEET 1998
• In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero disp… NEET 1998
• The equation of a sound wave is y=0.0015 sin(62.4x+316t). The wavelength of this wave is NEET 1996
• The frequency of sinusoidal wave y=0.40 cos[2000t+0.80] would be NEET 1992
• With the propagation of a longitudinal wave through a material medium, the quantities transmitted in the prop… NEET 1992
• Equation of progressive wave is given by y=4 sin [π(t/5-x/9)+π/6] where y, x are in cm and t is in seconds. T… NEET 1988