A gas is filled in an organ pipe and it is so | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The fundamental frequency of an organ pipe is given by $f = \frac{v}{2L}$ (for open pipe) or $f = \frac{v}{4L}$ (for closed pipe).In both cases,$f

Vedclass · Accepted Answer

Both $(B)$ and $(C)$.

Vedclass · Answer

(D) The fundamental frequency of an organ pipe is given by $f = \frac{v}{2L}$ (for open pipe) or $f = \frac{v}{4L}$ (for closed pipe).In both cases,$f \propto v$,where $v$ is the speed of sound in the gas.The speed of sound in a gas is given by $v = \sqrt{\frac{\gamma RT}{M}}$,where $M$ is the molar mass of the gas.Since $T$ is constant,$v \propto \frac{1}{\sqrt{M}}$. Thus,$f \propto \frac{1}{\sqrt{M}}$.$(A)$ $M(H_2) = 2$,$M(O_2) = 32$. Since $M$ increases,$f$ decreases. Statement $(A)$ is incorrect.$(B)$ $M(O_2) = 32$,$M(N_2) = 28$. Since $M$ decreases,$f$ increases. Statement $(B)$ is correct.$(C)$ $M(He) = 4$,$M(CH_4) = 16$. Since $M$ increases,$f$ decreases. Statement $(C)$ is correct.Therefore,both $(B)$ and $(C)$ are correct.

$A$ gas is filled in an organ pipe and it is sounded in its fundamental mode. Choose the correct statement$(s)$ : ($T$ = constant)

Similar Questions

If the speed of sound in air is $330 \, m/s$,find the number of tones (harmonics) present in an open organ pipe of length $1 \, m$ whose frequency is $\leq 1000 \, Hz$.

In the experiment to determine the speed of sound using a resonance column, which of the following statements is correct?

An empty vessel is partially filled with water. What happens to the frequency of vibration of the air column in the vessel?

Vedclass Test Series

Exam Paper Generator

Online Exam Module