Student Login

Home›Chapters›Wave Motion PYQs›Stationary Waves & Vibrating Strings›Question 62

MHT CET 2023 (14 May, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2023 (14 May, Shift 2)

Q62MHT CET 2023 · 14 MAY · SHIFT 2Medium

Stationary Waves & Vibrating Strings

Sound waves of frequency $600\text{ Hz}$ fall normally on a perfectly reflecting wall. The shortest distance from the wall at which all particles will have maximum amplitude of vibration is (speed of sound $= 300\text{ m s}^{-1}$ )

Show answer and solution

Answer: (b)

$\lambda = \dfrac{v}{f} = \dfrac{300}{600} = 0.5\text{ m}$ .
A rigid wall is a displacement node; the nearest displacement antinode (maximum amplitude) is $\lambda/4$ away.
$d = \dfrac{0.5}{4} = \dfrac{1}{8}\text{ m}$ .
So the answer is (b) $\frac{1}{8}\text{ m}$ .

Report a mistake

More questions on Stationary Waves & Vibrating Strings

A string is stretched between two rigid supports separated by 75 cm. There are no…MHT CET 2023 (14 May, Shift 1)
The fundamental frequency of vibration of a string stretched between two rigid supports…JEE Main 2023 (15 Apr, Shift 1)
A uniform string is vibrating with a fundamental frequency ' n '. If radius and length of…MHT CET 2023 (12 May, Shift 1)
A sonometer wire ' A ' of diameter ' d ' under tension ' T ' having density ' ρ₁ '…MHT CET 2023 (11 May, Shift 2)
Two uniform wires of same material are vibrating under the same tension. If the first…MHT CET 2023 (10 May, Shift 2)
If the length of stretched string is reduced by 40% and tension is increased by 44% then…MHT CET 2023 (10 May, Shift 1)
A wire of density 8 × 10³ kg/m³ is stretched between two clamps 0.5 m apart. The…JEE Main 2023 (11 Apr, Shift 2)
In an experiment with sonometer when a mass of 180 g is attached to the string, it…JEE Main 2023 (13 Apr, Shift 2)