JEE Main Physics · Waves

Waves on Strings in JEE Main

Name: Waves on Strings: JEE Main previous year questions
Creator: Lumi

Waves on Strings (Physics, Waves) came 12 times in 11 of the 42 JEE Main shifts Lumi analysed, across 6 distinct ideas. 4 of them came in 2024–26; it was last asked in 2026.

Questions: 12; in 11 shifts
Ideas asked: 6; 3 asked more than once
Numerical answer: 3; 25% of its questions
Pattern: Asked most years; last asked 2026

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 8Medium 4Hard 0

Format

Single correct9 Q
Numerical value3 Q

Ideas inside the topic

6 ideas

Sonometer Laws4 Q
Particle Velocity vs Wave Velocity3 Q
Wave Speed on String2 Q
Interference Amplitude on Strings1 Q
Phase Difference in Traveling Waves1 Q
Superposition of Traveling Waves1 Q

Where it sits

Part of Waves, which had 27 questions in all. Waves on Strings accounts for 44% of them. In Lumi's JEE taxonomy it belongs to Waves and SHM.

Every question

All 12 Waves on Strings questions

Newest first, each with its options and official answer.

2 Apr 2026, Shift 1 · Q35The equation of a plane progressive wave is given by $y=5\cos\pi\left(200\,t-\frac{x}{150}\right)$ where $x$ and $y$ are in cm and $t$ is…EasySingle correct
7 Apr 2025, Shift 2 · Q35The equation of a wave travelling on a string is $y=\sin[20\pi x+10\pi t]$ , where $x$ and t are distance and time in SI units. The minimum…MediumSingle correct
8 Apr 2025, Shift 2 · Q34Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A transverse wave is then…EasySingle correct
8 Apr 2025, Shift 2 · Q40The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, $y_1(x, t) = 4\sin(kx - \omega t)$ …MediumSingle correct
8 Apr 2023, Shift 2 · Q51A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental…EasyNumerical value
11 Apr 2023, Shift 1 · Q56The equation of wave is given by $Y = 10^{-2}\sin 2\pi(160t - 0.5x + \pi/4)$ where $x$ and $Y$ are in m and $t$ in s. The speed of the…EasyNumerical value
13 Apr 2023, Shift 2 · Q54In an experiment with sonometer when a mass of 180 g is attached to the string, it vibrates with fundamental frequency of 30 Hz. When a…EasyNumerical value
28 Jul 2022, Shift 1 · Q39In the wave equation $y=0.5\sin\frac{2\pi}{\lambda}(400\,t-x)\ \mathrm{m}$ the velocity of the wave will be :EasySingle correct
24 Jun 2022, Shift 1 · Q42The equations of two waves are given by : $y_1=5\sin 2\pi(x-vt)$ cm $y_2=3\sin 2\pi(x-vt+1.5)$ cm These waves are simultaneously passing…EasySingle correct
29 Jun 2022, Shift 1 · Q46A longitudinal wave is represented by $x = 10\sin 2\pi\left(nt - \frac{x}{\lambda}\right)$ cm. The maximum particle velocity will be four…MediumSingle correct
9 Jan 2020, Shift 2 · Q11A wire of length $L$ and mass per unit length $6.0\times10^{-3}\ \mathrm{kg\,m^{-1}}$ is put under tension of 540 N. Two consecutive…MediumSingle correct
2 Sep 2020, Shift 1 · Q10Two identical strings $X$ and $Z$ made of same material have tension $T_X$ and $T_Z$ in them. If their fundamental frequencies are 450 Hz…EasySingle correct