Question:
If 'l' is the length of the open pipe, 'r' is the internal radius of the pipe and 'V' is the velocity of sound in air then fundamental frequency of open pipe is
If 'l' is the length of the open pipe, 'r' is the internal radius of the pipe and 'V' is the velocity of sound in air then fundamental frequency of open pipe is
Show Hint
Physics Tip : Remember that an open pipe has two open ends, so you must apply the end correction ($0.6r$) twice.
Updated On: Apr 23, 2026
- $\frac{V}{(l+0.3r)}$
- $\frac{V}{(l+1.2r)}$
- $\frac{V}{(l+0.6r)}$
- $\frac{V}{2(l+1.2r)}$
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
Physics (Waves) – Fundamental Frequency and End Correction of an Open Pipe.
Step 1: Calculate the effective length with end correction. For an open organ pipe, end correction ($e$) occurs at both ends. The effective length $L$ is: $$L = l + 2e$$ Given that $e = 0.6r$ for one end, the total correction is $2 \times 0.6r = 1.2r$. $$L = l + 1.2r$$
Step 2: State the fundamental frequency formula. The fundamental frequency $f$ of an open pipe is given by: $$f = \frac{V}{2L}$$
Step 3: Substitute the effective length. Substituting $L = l + 1.2r$ into the frequency formula: $$f = \frac{V}{2(l + 1.2r)}$$ $$ \therefore \text{The fundamental frequency is } \frac{V}{2(l+1.2r)}. $$
Step 1: Calculate the effective length with end correction. For an open organ pipe, end correction ($e$) occurs at both ends. The effective length $L$ is: $$L = l + 2e$$ Given that $e = 0.6r$ for one end, the total correction is $2 \times 0.6r = 1.2r$. $$L = l + 1.2r$$
Step 2: State the fundamental frequency formula. The fundamental frequency $f$ of an open pipe is given by: $$f = \frac{V}{2L}$$
Step 3: Substitute the effective length. Substituting $L = l + 1.2r$ into the frequency formula: $$f = \frac{V}{2(l + 1.2r)}$$ $$ \therefore \text{The fundamental frequency is } \frac{V}{2(l+1.2r)}. $$
Was this answer helpful?
0
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 Curie�s 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 Waves Questions
- 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
- The closed and open organ pipes have same length. When they are vibrating simultaneously in first overtone, produce three heats. The length of open pipe is made $\frac{1}{2}^{nd}$ and closed pipe is made three times the original, the number of beats produced will be
- The observer is moving with velocity $v_0$ towards the stationary source of sound and then after crossing moves away from the source with velocity $v_0$. Assume that the medium through which the sound waves travel is at rest. If $V$ is the velocity of sound and $n$ is the frequency emitted by the source then the difference between apparent frequencies heard by the observer is
- When the observer moves towards the stationary source with velocity, $V_1$, the apparent frequency of emitted note is $F_1$. When the observer moves away from the source with velocity $V_1$, the apparent frequency is $F_2$. If $V$ is the velocity of sound in air and $\frac{F_{1}}{F_{2}} = 2$ then $\frac{V}{V_{1}}=$ ?
- Wire having tension $225\, N$ produces six beats per second when it is tuned with a fork. When tension changes to $256\, N$, it is tuned with the same fork, the number of beats remain unchanged. The frequency of the fork will be
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