Student Login

Home›Chapters›Wave Motion PYQs›Stationary Waves & Vibrating Strings›Question 12

MHT CET 2026 (15 Apr, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2026 (15 Apr, Shift 2)

Q12MHT CET 2026 · 15 APR · SHIFT 2Easy

Stationary Waves & Vibrating Strings

To increase the frequency of transverse oscillations of a stretched string by 40%, the tension must be increased by

Show answer and solution

Answer: (c)

$f \propto \sqrt{T} \Rightarrow \dfrac{T_2}{T_1} = \left(\dfrac{f_2}{f_1}\right)^2$ .
$\dfrac{T_2}{T_1} = (1.4)^2 = 1.96$ .
Increase $= 96\%$ .
So the answer is (c) $96\%$ .

Report a mistake

More questions on Stationary Waves & Vibrating Strings

A stretched wire of length 110 cm is divided in to 3 segments whose frequencies are in…MHT CET 2026 (13 May, Shift 1)
A spring of mass 0.2 kg/m has length l = 0.6 m. It is fixed at both ends and stretched…MHT CET 2026 (13 May, Shift 2)
In sonometer experiment, the string of length 'L' under tension vibrates in second…MHT CET 2026 (12 May, Shift 2)
A wire of length 'L' and linear density 'm' is stretched between two rigid supports with…MHT CET 2026 (18 Apr, Shift 2)
Two vibrating metal wires of the same material of length 'L' and '3L' and have radii '2r'…MHT CET 2026 (20 May, Shift 1)
Two uniform strings A and B made of steel are vibrating under the same tension. If the…MHT CET 2026 (14 May, Shift 1)
A wire of length ' L ', diameter ' d ', density of material ' ρ ' is under tension ' T '…MHT CET 2026 (20 Apr, Shift 1)
The fundamental frequency of sonometer wire is 50 Hz for some length and tension. If the…MHT CET 2026 (15 Apr, Shift 1)