Student Login

Home›Chapters›Wave Motion PYQs›Stationary Waves & Vibrating Strings›Question 13

MHT CET 2026 (13 May, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2026 (13 May, Shift 1)

Q13MHT CET 2026 · 13 MAY · SHIFT 1Easy

Stationary Waves & Vibrating Strings

A stretched wire of length $110$ cm is divided in to 3 segments whose frequencies are in the ratio $1:2:3$ . Their respective lengths must be

Show answer and solution

Answer: (b)

Same wire and tension: $f \propto \dfrac{1}{l}$ , so $l_1 : l_2 : l_3 = 1 : \dfrac{1}{2} : \dfrac{1}{3} = 6 : 3 : 2$ .
Total parts $= 11$ , each part $= \dfrac{110}{11} = 10\text{ cm}$ .
Lengths: $60, 30, 20\text{ cm}$ .
So the answer is (b) $60$ cm, $30$ cm, $20$ cm.

Report a mistake

More questions on Stationary Waves & Vibrating Strings

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)
Two uniform wires of same material are vibrating under the same tension. If the first…MHT CET 2026 (11 Apr, Shift 2)