Question:
The fundamental frequency of an air column in a pipe closed at one end is 150 Hz. If the same pipe is open at both ends, the frequencies produced in Hz are
The fundamental frequency of an air column in a pipe closed at one end is 150 Hz. If the same pipe is open at both ends, the frequencies produced in Hz are
Show Hint
Open pipe fundamental is twice that of a closed pipe of the same length.
Updated On: Aug 11, 2026
- 150, 300, 450, 600, ...
- 300, 450, 600, 750, ...
- 300, 400, 500, 600, ...
- 300, 600, 900, 1200, ...
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Concept
- Closed pipe: $n_c = \frac{v}{4L} = 150$ Hz.
- Open pipe: $n_o = \frac{v}{2L}$.
Step 2: Analysis
$n_o = 2 \times (\frac{v}{4L}) = 2 \times 150 = 300$ Hz.
Step 3: Calculation
An open pipe produces all harmonics (multiples of fundamental): $300, 600, 900, 1200...$
Step 4: Conclusion
Hence, the series is 300, 600, 900, 1200, ... Final Answer: (D)
- Closed pipe: $n_c = \frac{v}{4L} = 150$ Hz.
- Open pipe: $n_o = \frac{v}{2L}$.
Step 2: Analysis
$n_o = 2 \times (\frac{v}{4L}) = 2 \times 150 = 300$ Hz.
Step 3: Calculation
An open pipe produces all harmonics (multiples of fundamental): $300, 600, 900, 1200...$
Step 4: Conclusion
Hence, the series is 300, 600, 900, 1200, ... Final Answer: (D)
Was this answer helpful?
2
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to CurieοΏ½s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET Sound Wave Questions
- How does the dynamic resistance of diode vary with temperature?
- Sound waves of frequency $600\ \text{Hz}$ fall normally on a perfectly reflecting wall. The shortest distance from the wall at which all particles will have maximum amplitude of vibration is (speed of sound $=300\ \text{ms}^{-1}$)}
- A pipe closed at one end vibrating in fifth overtone is in unison with open pipe vibrating in its fifth overtone. The ratio of \(l_c : l_o\) is [\(l_c = \text{vibrating length of closed pipe}, l_o = \text{vibrating length of open pipe}\)]
- A pipe closed at one end vibrating in fifth overtone is in unison with open pipe vibrating in its fifth overtone. The ratio of \(l_c : l_o\) is [\(l_c = \text{vibrating length of closed pipe}, l_o = \text{vibrating length of open pipe}\)]
- An organ pipe has fundamental frequency $80\text{ Hz}$ . If its one end is closed, the frequencies produced will be (in $\text{Hz}$ ) (Neglect end correction)}
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions