JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 25 June 2022, Shift 1, Physics Q55

Question 55 of 90 in this shift, Physics question 25 of 30, Section B.

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20 cm. The length of the open organ pipe is __________ cm.

Official answer

NTA final key.

Chapter: Waves
Topic: Resonance in Air Columns
Idea tested: Overlapping Resonances in Open and Closed Pipes

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
8 Apr 2024, Shift 1 · Q54A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is $\left(\frac{a-1}{a}\right)$ …MediumNumerical value
30 Jan 2024, Shift 1 · Q54In a closed organ pipe, the frequency of fundamental note is 30 Hz. A certain amount of water is now poured in the organ pipe so that the…HardNumerical 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
8 Apr 2023, Shift 1 · Q51An organ pipe $40\ \mathrm{cm}$ long is open at both ends. The speed of sound in air is $360\ \mathrm{ms^{-1}}$ . The frequency of the…EasyNumerical 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 108 of the 174 JEE Main shifts held from 2017 to 2026.