Student Login

Home›Chapters›Wave Motion PYQs›Stationary Waves & Vibrating Strings›Question 51

MHT CET 2024 (4 May, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2024 (4 May, Shift 1)

Q51MHT CET 2024 · 4 MAY · SHIFT 1Medium

Stationary Waves & Vibrating Strings

A string A has twice the length, twice the diameter, twice the tension and twice the density of another string B. The overtone of A which will have the same fundamental frequency as that of $B$ is

Show answer and solution

Answer: (c)

$n \propto \dfrac{1}{LD}\sqrt{\dfrac{T}{\rho}}$
$\dfrac{n_A}{n_B} = \dfrac{1}{2\times2}\sqrt{\dfrac{2}{2}} = \dfrac{1}{4} \Rightarrow n_B = 4n_A$
The 4th harmonic of A equals $n_B$ ; the 4th harmonic is the third overtone.
So the answer is (c) third.

Report a mistake

More questions on Stationary Waves & Vibrating Strings

At the poles of earth, a stretched wire of a given length vibrates in unison with a…MHT CET 2024 (11 May, Shift 1)
A sonometer wire is in unison with a tuning fork of frequency ' n ' when it is stretched…MHT CET 2024 (9 May, Shift 2)
A sonometer wire is stretched by hanging a metal bob, the fundamental frequency of the…MHT CET 2024 (9 May, Shift 1)
A sonometer wire is stretched by hanging a metal bob. The fundamental frequency of…MHT CET 2024 (2 May, Shift 2)
Two progressive waves are travelling towards each other with velocity 50 m/s and…MHT CET 2023 (11 May, Shift 2)
A string fixed at both the ends forms standing wave with node separation of 5 cm. If the…MHT CET 2023 (11 May, Shift 1)
In case of a stationary wave pattern which of the following statements is CORRECT?MHT CET 2023 (10 May, Shift 1)
Stationary waves can be produced inMHT CET 2023 (9 May, Shift 2)