Waves & Sound · JEE Main previous year questions

2026 5 questions

1. Q482026 · 5 Apr 2026 · Shift 1· Numerical answer

   A transverse wave on a string is described by $y=3\sin \left(36t+0.018x+\pi /4\right)$. where $x$, $y$ are in $\mathrm{cm}$ and $t$ in seconds. The least distance between the two successive crests in the wave is ____ $\mathrm{cm}$. (Nearest integer) $(\pi =3.14)$

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   Answer: 349

2. Q352026 · 2 Apr 2026 · Shift 1

   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 $\mathrm{cm}$ and $t$ is in second. The velocity of the wave is ____ $m/s$.

   1. A.120
   2. B.150
   3. C.200
   4. D.300
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   Answer: D

3. Q502026 · 28 Jan 2026 · Shift 2· Numerical answer

   Two 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 frequency of tuning fork B is 380 Hz then original frequency of tuning fork A is _________ Hz.

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   Answer: 384

4. Q482026 · 23 Jan 2026 · Shift 2· Numerical answer

   The velocity of sound in air is doubled when the temperature is raised from $0^{\circ }\text{C}$ to ${\alpha }^{\circ }\text{C}$. The value of $\alpha$ is _____.

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   Answer: 819

5. Q482026 · 22 Jan 2026 · Shift 1· Numerical answer
   
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   Answer: 600