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JEE Main 20246 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
6 April
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2024 · 6 April · Evening Shift · Physics · Waves and Sound

Two open organ pipes of lengths 60 ~cm and 90 ~cm resonate at 6^ th...

Two open organ pipes of lengths 60 cm60 \mathrm{~cm} and 90 cm90 \mathrm{~cm} resonate at 6th 6^{\text{th }} and 5th 5^{\text{th }} harmonics respectively. The difference of frequencies for the given modes is _______ Hz\mathrm{Hz}. (Velocity of sound in air =333 m/s=333 \mathrm{~m} / \mathrm{s} )

Correct answer

0

Step-by-step solution

The difference in frequency in open organ pipe ==f=nv2 LΔf=6v2×0.6−5v2×0.9v=333 m/sΔf=740 Hz\begin{aligned} & \mathrm{f}=\frac{\mathrm{nv}}{2 \mathrm{~L}} \\ & \Delta \mathrm{f}=\frac{6 \mathrm{v}}{2 \times 0.6}-\frac{5 \mathrm{v}}{2 \times 0.9} \\ & \mathrm{v}=333 \mathrm{~m} / \mathrm{s} \\ & \Delta \mathrm{f}=740 \mathrm{~Hz} \end{aligned}$$
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