JEE Main 2023 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 11 April 2023, Shift 2, Physics Q51

Question 51 of 90 in this shift, Physics question 21 of 30, Section B.

A wire of density

8\times10^{3}\ \mathrm{kg/m^3}

is stretched between two clamps

0.5\ \mathrm{m}

apart. The extension developed in the wire is

3.2\times10^{-4}\ \mathrm{m}

. If

\mathrm{Y} = 8\times10^{10}\ \mathrm{N/m^2}

, the fundamental frequency of vibration in the wire will be ____________ Hz.

Official answer

NTA final key.

Chapter: Waves
Topic: Waves on Strings
Idea tested: Wave Speed on String

Same idea in other shifts

Asked 9× in all

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
10 Apr 2023, Shift 1 · Q52A transverse harmonic wave on a string is given by $y(x,t) = 5\sin(6t + 0.003\,x)$ where $x$ and $y$ are in cm and $t$ in sec. The wave…EasyNumerical value
15 Apr 2023, Shift 1 · Q51The fundamental frequency of vibration of a string stretched between two rigid support is 50 Hz. The mass of the string is 18 g and its…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
29 Jul 2022, Shift 2 · Q56The speed of a transverse wave passing through a string of length 50 cm and mass 10 g is 60 $\mathrm{ms^{-1}}$ . The area of cross-section…MediumNumerical value
25 Feb 2021, Shift 2 · Q23The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be…EasyNumerical value
26 Feb 2021, Shift 1 · Q24The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of the form $y=-0.21\sin(x+30t)$ is produced in it, where $x$ …MediumNumerical value
8 Jan 2020, Shift 2 · Q9A transverse wave travels on a taut steel wire with a velocity of $v$ when tension in it is $2.06\times10^{4}\ \mathrm{N}$ . When the…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.