Download App

Superposition of Waves — Physics STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 SciencePhysicsSuperposition of Waves4 Marks
Question
A pipe open at both ends has the fundamental frequency $n$. If the pipe is immersed vertically in water up to half its length, what would be the fundamental frequency of the resulting air column?
✓

Answer


Let $L$ be the length of the pipe open at both ends whose fundamental frequency is $n$. Then, ignoring the end correction, $n =\frac{v}{2 L}$
where $v$ is the speed of sound in air.
When the pipe is immersed vertically in water up to half its length, it becomes a pipe closed at one end with an air column of length $L^{\prime}=L / 2$. Then, its fundamental frequency $n^{\prime}$ is
$
n^{\prime}=\frac{v}{4 L^{\prime}}=\frac{v}{4(L / 2)}=\frac{v}{2 L}
$
which is equal to $n$, the fundamental frequency of the open pipe.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Answer the following in Detail" from Superposition of Waves→Superposition of Waves — all question types→Physics STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

A substance may be athermanous or diathermanous for certain wavelength ranges while good absorber for other wavelength ranges. Explain.
→
The semi vertical angle of the cone of the rays incident on the objective of a microscope is $20^{\circ}$. If the wavelength of incident light is $6600 Å$, calculate the smallest distance between two points which can be just resolved.
→
State the principle of a transformer. Explain its construction and working. Derive an expression for the ratio of e.m.f.s in terms of number of turns in primary and secondary coil.
→
State the postulates of Newton's corpuscular theory of light.
→
A source contains two species of phosphorous nuclei, ${ }_{15}^{32} P \left(T_{1 / 2}=14.3 d \right)$ and ${ }_{15}^{32} P \left(T_{1 / 2}=\right. 25.3\ d).$ At time $t=0,90 \%$ of the decays are from ${ }_{15}^{32} P$. How much time has to elapse for only $15 \%$ of the decays to be from ${ }_{15}^{32} P$ ?
→
Explain the concept/phenomenon of mutual induction.###Explain and define mutual inductance of a coil with respect to another coil.###Define the coefficient of mutual induction.
→
What is a transformer? Explain construction and working of a transformer. Derive the equation for a transformer.
→
If the frequency of revolution of a proton $\left( q =1.6 \times 10^{-19} C \right)$ in a uniform magnetic induction is $10^6 \ Hz$, what is the corresponding electric current?
→
Explain the acceleration of a particle in UCM. State an expression for the acceleration.
→
Derive an expression for the electric potential at a point due to a short electric dipole. Hence, write the expression for the electric potential at a point
(i) on the dipole axis (ii) on the dipole equator.
OR
Derive an expression for the electric potential at a point due to an electric dipole.
→