MCQ
A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio
- A$1: 2$
- B$2: 3$
- ✓$3: 4$
- D$4: 5$
✓
Answer
Correct option: C.
$3: 4$
If is given that First over tone of closed pipe $=$ First over tone of open pipe
$\Rightarrow 3\left(\frac{v}{4 l_1}\right)=2\left(\frac{v}{2 l_2}\right) ;$ where $l$ and $l$ are the lengths of closed and open organ pipes hence $\frac{l_1}{l_2}=\frac{3}{4}$
$\Rightarrow 3\left(\frac{v}{4 l_1}\right)=2\left(\frac{v}{2 l_2}\right) ;$ where $l$ and $l$ are the lengths of closed and open organ pipes hence $\frac{l_1}{l_2}=\frac{3}{4}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If a vector $\vec{A}$ is parallel to another vector $\vec{B}$ then the resultant of the vector $\vec{A} \times \vec{B}$ will be equal to
→A particle starts S.H.M. from the mean position. Its amplitude is $A$ and time period is $T$. At the time when its speed is half of the maximum speed, its displacement $y$ is
→Which of the following is not a perfectly inelastic collision
When the wave of hydrogen atom comes from infinity into the first orbit then the value of wave number is
The intensity of sound wave while passing through an elastic medium falls down by $10 \%$ as it covers one metre distance through the medium. If the initial intensity of the sound wave was $100$ decibels, its value after it has passed through $3$ metre thickness of the medium will be
→Two moles of an ideal monoatomic gas at $27^{\circ} \mathrm{C}$ occupies a volume of $v$. If the gas is expanded adiabatically to the volume $2 \mathrm{~V}$, then the work done by the gas will be $[\gamma=5 / 3, R=8.31 \mathrm{~J} / \mathrm{mol} \mathrm{K}]$
→The P.E. of a particle executing SHM at a distance $x$ from its equilibrium position is
→Two magnets of same size and mass make respectively $10$ and $15$ oscillations per minute at certain place. The ratio of their magnetic moments is
→A uniform rod of density $\rho$ is placed in a wide tank containing a liquid of density $\rho_0\left(\rho_0>\rho\right)$. The depth of liquid in the tank is half the length of the rod. The rod is in equilibrium, with its lower end resting on the bottom of the tank. In this position the rod makes an angle $\theta$ with the horizontal
→Which of the substances $A, B$ or $C$ has the highest specific heat ? The temperature $v s$ time graph is shown
→