Student Login

Home›Chapters›Wave Motion PYQs›Stationary Waves & Vibrating Strings›Question 42

MHT CET 2024 (2 May, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2024 (2 May, Shift 2)

Q42MHT CET 2024 · 2 MAY · SHIFT 2Easy

Stationary Waves & Vibrating Strings

A stretched string is fixed at both ends. It is made to vibrate so that the total number of nodes formed in it is ' $x$ '. The length of the string in terms of the wavelength of waves formed in it is ( $\lambda =$ wavelength $)$

Show answer and solution

Answer: (d)

With both ends fixed, $x$ nodes give $(x - 1)$ loops.
Each loop has length $\lambda/2$ .
$L = (x - 1)\dfrac{\lambda}{2}$ .
So the answer is (d) $(X - 1)\frac{\lambda}{2}$ .

Report a mistake

More questions on Stationary Waves & Vibrating Strings

When the tension in string is increased by 3 kg wt, the frequency of the fundamental mode…MHT CET 2024 (9 May, Shift 1)
A violin emits sound waves of frequency ' n₁ ' under tension T. When tension is increased…MHT CET 2024 (3 May, Shift 2)
A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz when…JEE Main 2024 (5 Apr, Shift 2)
The length of a sonometer wire 'AB' is 110 cm. Where should the two bridges be placed…MHT CET 2024 (10 May, Shift 2)
Two progressive waves Y₁ = sin 2π(t/0.4 - x/4) and Y₂ = sin 2π(t/0.4 + x/4) superpose to…MHT CET 2024 (15 May, Shift 1)
A string is under tension of 180 N and mass per unit length 2 × 10⁻³ kg/m. It produces…MHT CET 2024 (16 May, Shift 1)
A wire of length ' L ' and linear density ' m ' is stretched between two rigid supports…MHT CET 2024 (11 May, Shift 2)
Two uniform strings A and B made of steel are made to vibrate under the same tension. If…MHT CET 2024 (16 May, Shift 2)