Mechanical Waves JEE Main PYQs PDF, 2020–2026

Mechanical Waves questions per year

Topic-wise weightage by year

How many Mechanical Waves questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Swipe the table sideways for older years.

Newest questions (2026)

All 7 JEE Main 2026 Mechanical Waves questions in the free PDF, latest shift first.

1. JEE Main 2026 · 5 Apr · Shift 1 · Wave Equation and Speed

   A transverse wave on a string is described by $y=3\sin (36t+0.018x+\pi/4)$. where $x,y$ are in cm and $t$ in seconds. The least distance between the two successive crests in the wave is $\_\_\_\_$ cm . (Nearest integer)

   $(\pi=3.14)$

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2. JEE Main 2026 · 2 Apr · Shift 1 · Wave Equation and Speed

   The equation of a plane progressive wave is given by $y=5\cos \pi\left(200t-\frac{x}{150}\right)$ where $x$ and $y$ are in cm and $t$ is in second. The velocity of the wave is ________ m/s.

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3. JEE Main 2026 · 24 Jan · Shift 2 · Standing Waves in Organ Pipes

   The 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 $5/x$. The value of $x$ is $\_\_\_\_$

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4. JEE Main 2026 · 24 Jan · Shift 2 · Wave Equation and Speed

   A 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

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5. JEE Main 2026 · 22 Jan · Shift 1 · Superposition and Interference

   Two loudspeakers $(L_{1}$ and $L_{2})$ are placed with a separation of 10 m , as shown in figure. Both speakers are fed with an audio input signal of same frequency with constant volume. A voice recorder, initially at point $A$, at equidistance to both loud speakers, is moved by 25 m along the line $AB$ while monitoring the audio signal. The measured signal was found to undergo 10 cycles of minima and maxima during the movement. The frequency of the input signal is $\_\_\_\_$ Hz (Speed of sound in air is $324{\ \mathrm{m}}/{\mathrm{s}}$ and $\sqrt{5}=2.23$ )

   
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6. JEE Main 2026 · 22 Jan · Shift 2 · Standing Waves in Organ Pipes

   In an open organ pipe $\nu_{3}$ and $\nu_{6}$ are $3^{{\text{rd}}}$ and $6^{{\text{th}}}$ harmonic frequencies, respectively. If $\nu_{6}-\nu_{3}=2200{\ \mathrm{Hz}}$ then length of the pipe is $\_\_\_\_$ mm .

   (Take velocity of sound in air is $330{\ \mathrm{m}}/{\mathrm{s}}$.)

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7. JEE Main 2026 · 21 Jan · Shift 1 · Wave Equation and Speed

   Two strings $(A,B)$ having linear densities $\mu_{A}=2\times {10}^{{-4}}{\ \mathrm{kg}}/{\mathrm{m}}$ and, $\mu_{B}=4\times {10}^{{-4}}{\ \mathrm{kg}}/{\mathrm{m}}$ and lengths $L_{A}=2.5{\ \mathrm{m}}$ and $L_{B}=1.5{\ \mathrm{m}}$ respectively are joined. Free ends of $A$ and $B$ are tied to two rigid supports $C$ and $D$, respectively creating a tension of 500 N in the wire. Two identical pulses, sent from $C$ and $D$ ends, take time $t_{1}$ and $t_{2}$, respectively, to reach the joint. The ratio $t_{1}/t_{2}$ is:

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