A sonometer wire resonates with a given tuning fork, forming standing… | MHT CET 2026 (19 May, Shift 2)

Q22MHT CET 2026 · 19 MAY · SHIFT 2Medium

Stationary Waves & Vibrating Strings

A sonometer wire resonates with a given tuning fork, forming standing waves with five antinodes between the two bridges, when a mass of $9$ kg is suspended from the wire. When this mass is replaced by mass $M$ , the wire resonates with the same tuning fork, forming three antinodes for the same positions of the bridges. The value of $M$ (in kg) is

Show answer and solution

Answer: (d)

With $p$ loops: $n = \dfrac{p}{2L}\sqrt{\dfrac{Mg}{\mu}}$ . Same $n$ , $L$ , $\mu$ gives $p^2 M = \text{constant}$ .
5 antinodes means $p = 5$ ; 3 antinodes means $p = 3$ .
$25 \times 9 = 9 \times M \Rightarrow M = 25\text{ kg}$
So the answer is (d) $25$ .

Report a mistake

More questions on Stationary Waves & Vibrating Strings

A sonometer wire resonates with a given tuning fork forming standing wave with 5…MHT CET 2026 (12 May, Shift 2)
In a sonometer experiment, the fundamental frequency of vibration of wire is ' n₁ ' when…MHT CET 2026 (17 Apr, Shift 2)
A sonometer wire resonates with 4 antinodes between the two bridges for a given tuning…MHT CET 2026 (15 Apr, Shift 1)
Two waves of same frequency ( n) are approaching each other with same velocity 12 m/s…MHT CET 2025 (22 Apr, Shift 1)
In Sonometer experiment, the frequency of a tuning fork used is 288 Hz. Harmonics will…MHT CET 2025 (26 Apr, Shift 1)
The frequency of a tuning fork is 256 Hz. It will not resonate with the tuning fork of…MHT CET 2025 (19 Apr, Shift 2)
Fundamental frequency of sonometer wire is ' n '. If the tension and length are increased…MHT CET 2025 (26 Apr, Shift 1)
The fundamental frequency of sonometer wire is ' n '. If the tension and length are…MHT CET 2025 (23 Apr, Shift 2)

Stationary Waves & Vibrating Strings question from MHT CET 2026 (19 May, Shift 2)

More questions on Stationary Waves & Vibrating Strings