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Speed of a Travelling Wave for JEE: 19 solved questions

Real JEE paper questions on speed of a travelling wave, part of waves. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2010 to 2026. No sign-in needed to read them.

What this topic asks

• Transverse wave on a string — 13 questions
• Speed of sound in a gas — 4 questions
• Longitudinal wave in a solid — 2 questions

All 19 questions with solutions

• The speed of a longitudinal wave in a metallic bar is 400 m s⁻¹. If the density and the Young's modulus of th… JEE Main 28th Jan 2nd Shift 2026
• Sound travels through ideal gases He, CH₄ and CO₂, all of which have the same ratio P/ρ of pressure to densit… JEE Main 4th April 1st Shift 2025
• The speed of sound in oxygen at STP is approximately (take R=8.3 J K⁻¹ mol⁻¹ and γ=1.4) JEE Main 31st Jan 2nd Shift 2024
• A steel wire of mass per unit length 7.0×10⁻³ kg m⁻¹ is under a tension of 70 N. The speed of transverse wave… JEE Main 1st Feb 1st Shift 2023
• For a solid rod of Young's modulus 3.2×10¹¹ N m⁻² and density 8×10³ kg m⁻³, the velocity of a longitudinal wa… JEE Main 31st Jan 2nd Shift 2023
• A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support with a block of mass 2 kg a… JEE Main 3rd Sept 1st Shift 2020
• A straight wire of mass 6.0 g, length 60 cm and cross-sectional area 1.0 mm² carries transverse waves at 90 m… JEE Main 7th Jan 1st Shift 2020
• A transverse wave travels on a taut steel wire with velocity v when the tension is 2.06×10⁴ N. When the tensi… JEE Main 8th Jan 2nd Shift 2020
• The pressure wave P=0.01 sin(1000t-3x) N m⁻² is produced by a vibrating blade on a day when the atmospheric t… JEE Main 9th April 1st Shift 2019
• A heavy ball of mass M hangs from the ceiling of a car by a light string of mass m M. With the car at rest th… JEE Main 9th Jan 1st Shift 2019
• The equation of a travelling wave on a stretched string of linear density 5 g m⁻¹ is y=0.03 sin(450t-9x), in… JEE Main 11th Jan 1st Shift 2019
• A uniform string of length 20 m hangs from a rigid support. A short wave pulse introduced at its lowest end m… JEE Main (year not legible in the scan)
• The equation of a wave on a string of linear mass density 0.04 kg m⁻¹ is y=0.02 sin [2π(t/(0.04)-x/(0.50))] m… JEE Main 2010
• The velocity of sound in air is doubled when the temperature is raised from 0°C to α°C. The value of α is . JEE Main 23rd Jan 2nd Shift 2026
• A transverse wave passes at 60 m s⁻¹ through a string of length 50 cm and mass 10 g. The cross-sectional area… JEE Main 29th July 2nd Shift 2022
• The percentage increase in the speed of transverse waves on a stretched string when the tension is increased… JEE Main 25th Feb 2nd Shift 2021
• The mass per unit length of a uniform wire is 0.135 g cm⁻¹. A transverse wave y=-0.21 sin(x+30t) is produced… JEE Main 26th Feb 1st Shift 2021
• Two strings A and B of linear densities μ_A=2×10⁻⁴ kg m⁻¹ and μ_B=4×10⁻⁴ kg m⁻¹ and lengths L_A=2.5 m and L_B… JEE Main 21st Jan 1st Shift 2026
• Two strings of circular cross-section, made of the same material, are stretched to the same tension. A transv… JEE Main 8th April 2nd Shift 2025