Length of Closed Organ Pipe – Rankers Physics

Uncategorized: Practice Problem & Solution

Velocity of sound in air is $320text{ m/s}$. If frequency of $1^{text{st}}$ overtone of a closed organ pipe is $480text{ Hz}$, then the length of the organ pipe is
$100text{ cm}$
$25text{ cm}$
$75text{ cm}$
$50text{ cm}$

Solution Explained:

To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:

For a closed organ pipe, the $1^{text{st}}$ overtone frequency is $f = frac{3v}{4L}$. Substituting the values: $480 = frac{3 times 320}{4L} implies L = 0.5text{ m} = 50text{ cm}$.

Leave a Reply

Your email address will not be published. Required fields are marked *

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. 14. During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $\frac{C_p}{C_v}$ for the gas is: (2013)
2. 11. If $\theta_1$ and $\theta_2$ be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip $\theta$ is given by: (2017-Delhi)
3. A particle is undergoing SHM having total mechanical energy equal to $8text{ J}$. At an instant its kinetic energy is found to be $10text{ J}$, then its potential energy at that instant is
4. 57. The half life of a radio nuclide is 77 days then its decay constant is: (1999)
5. 17. Light of two different frequencies whose photons have energies 1 eV and 2.5 eV respectively illuminate a metallic surface whose work function is 0.5 eV successively. Ratio of maximum speeds of emitted electrons will be: (2011 Pre)