Student Login

Home›Chapters›Wave Motion PYQs›Organ Pipes & Resonance Tube›Question 8

MHT CET 2026 (13 May, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2026 (13 May, Shift 2)

Q8MHT CET 2026 · 13 MAY · SHIFT 2Medium

Organ Pipes & Resonance Tube

An organ pipe closed at one end has fundamental frequency of $1500$ Hz. The maximum number of overtones generated by this pipe a normal person can hear is (neglect end connection)

Show answer and solution

Answer: (c)

Closed pipe gives only odd harmonics: $(2n+1)f_0$ , where $n$ = overtone number.
Audible limit $\approx 20\text{ kHz}$ : $(2n+1)(1500) \le 20000 \Rightarrow 2n+1 \le 13.3$
Highest odd harmonic $= 13$ , so $2n+1 = 13 \Rightarrow n = 6$ .
So the answer is (c) $6$ .

Report a mistake

More questions on Organ Pipes & Resonance Tube

In fundamental mode, the time required for the sound wave to reach upto the closed end of…MHT CET 2026 (13 Apr, Shift 1)
A pipe open at both ends has length 1 m. The air column in a pipe cannot resonate for a…MHT CET 2026 (20 May, Shift 1)
In an open organ pipe ν₃ and ν₆ are 3 rd and 6 th harmonic frequencies, respectively. If…JEE Main 2026 (22 Jan, Shift 2)
An organ pipe P₁ closed at one end and vibrating in its first overtone and other pipe P₂…MHT CET 2026 (15 May, Shift 2)
The third overtone of a closed organ pipe is in unison with 3rd overtone of an open pipe…MHT CET 2026 (12 May, Shift 2)
A pipe closed at one end vibrating in the sixth overtone is in unison with the open pipe…MHT CET 2026 (12 May, Shift 1)
The third overtone of a closed pipe of length ' Lc ' has the same frequency as the third…MHT CET 2026 (19 Apr, Shift 1)
Fifth overtone of an open pipe of length L₀ is in unison with the fifth overtone of the…MHT CET 2026 (18 Apr, Shift 1)