Student Login

Home›Chapters›Wave Motion PYQs›Speed of Waves›Question 29

MHT CET 2020 (16 Oct, Shift 1) · Speed of Waves

Speed of Waves question from MHT CET 2020 (16 Oct, Shift 1)

Q29MHT CET 2020 · 16 OCT · SHIFT 1Medium

Speed of Waves

The extension in a wire obeying Hooke's law is $x$ . The speed of sound in the stretched wire is $v$ . If the extension in the wire is increased to $4x$ , then the speed of sound in a wire is

Show answer and solution

Answer: (b)

Hooke's law: $T \propto x$ , and $v = \sqrt{T/\mu} \propto \sqrt{x}$ .
$v' = v\sqrt{4x/x} = 2v$
So the answer is (b) $2v$ .

Report a mistake

More questions on Speed of Waves

A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support…JEE Main 2020 (3 Sep, Shift 1)
Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of…JEE Main 2020 (7 Jan, Shift 1)
A heavy ball of mass M is suspendeed from the ceiling of a car by a light string of mass…JEE Main 2019 (9 Jan, Shift 1)
The pressure wave, P = 0.01 sin [1000t – 3x] Nm–2, corresponds to the sound produced by a…JEE Main 2019 (9 Apr, Shift 1)
A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal…JEE Main 2018
A uniform rope of length L and mass m1 hangs vertically from a rigid support. A block of…NEET 2016 (Phase 1)
A uniform string of length 20 m is suspended from a rigid support. A short wave pulse is…JEE Main 2016
4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at…NEET 2015 (AIPMT)