JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 8 April 2024, Shift 1, Physics Q54

Question 54 of 90 in this shift, Physics question 24 of 30, Section B.

A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is

\left(\frac{a-1}{a}\right)

then the value of

a

is ________.

Official answer

NTA final key.

Chapter: Waves
Topic: Resonance in Air Columns
Idea tested: Overtone to Harmonic Translation

Same topic in other shifts

All Resonance in Air Columns questions

3 Apr 2025, Shift 2 · Q35In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is…MediumSingle correct
6 Apr 2024, Shift 2 · Q51Two open organ pipes of lengths 60 cm and 90 cm resonate at $6^{\text{th}}$ and $5^{\text{th}}$ harmonics respectively. The difference of…EasyNumerical value
31 Jan 2024, Shift 1 · Q49The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open…EasySingle correct
16 Mar 2021, Shift 2 · Q30A closed organ pipe of length L and an open organ pipe contain gases of densities $\rho_1$ and $\rho_2$ respectively. The compressibility…MediumNumerical value
8 Jan 2020, Shift 1 · Q23A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in…MediumNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.