Exams › JEE Main › Physics

While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of 18 cm during winter. Repeating the same experiment during summer, she measures the column length to be x cm for the second resonance. Then

1. 18 > x
2. x > 54
3. 54 > x > 36
4. x > 18

Correct answer: x > 54

Solution

First resonance (winter): L = lambda/4 = 18 cm -> lambda = 72 cm, so 3*lambda/4 = 54 cm. In summer the sound speed and hence wavelength are larger, so the second-resonance length x > 54 cm.

Related JEE Main Physics questions

• A sonometer wire of length ℓ has fundamental frequency f0. A bridge is placed at a point Δℓ away from the midpoint of the wire, where Δℓ is much smaller than ℓ. If the two resulting segments are made to vibrate in their fundamental modes, the number of beats produced is—
• Two identical piano wires are stretched with the same tension T. Each wire has a fundamental frequency of 600 Hz. If the tension of one wire is increased slightly, what fractional increase in tension is needed so that the two wires produce 6 beats per second when sounded together?
• Two sound sources, each producing waves of wavelength λ, are held at a fixed separation. An observer travels with speed u along the straight line joining the two sources. The beat frequency heard by the observer per second is
• A body of specific gravity ρ is suspended from a light steel wire. The wire supports transverse standing waves with a fundamental frequency of 300 Hz. The body is then placed in water such that exactly half of its volume is below the surface. What is the new fundamental frequency of the wire, in Hz?
• A transverse wave on a string has displacement y(x,t) = e^(-(ax² + bt² + 2abxt)). This corresponds to a:
• A sound source A emits waves of frequency 1800 Hz and is moving downward toward the ground with terminal speed v. An observer B standing on the ground directly below the source detects the sound at 2150 Hz. The frequency of the waves reflected back from the ground and received by source A is approximately: (Speed of sound = 343 m/s)

⚔️ Practice JEE Main Physics free + battle 1v1 →