MCQ
A string of length $1\ m$ fixed at both ends is vibrating in $3^{rd}$ overtone. Tension in string is $200\ N$ and linear mass density is $5\ gm/m$ . Frequency of these vibrations is ..... $Hz$
- A$200$
- B$250$
- C$300$
- ✓$400$
✓
Answer
Correct option: D.
$400$
d
$II{I^{rd}}$ overtone
$II{I^{rd}}$ overtone
$\mathrm{f}=\frac{4 \mathrm{V}}{2 \mathrm{L}}=\frac{2 \mathrm{V}}{\mathrm{L}}=\frac{2}{1} \sqrt{\frac{200}{(5 / 1000)}}=2(200)$
$\mathrm{f}=400 \mathrm{\,Hz}$
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
A solid sphere falls with a terminal velocity of 20m/s in air. If it is allowed to fall in vacuum,
- Terminal velocity will be 20m/s
- Terminal velocity will be less than 20m/s
- Terminal velocity will be more than 20m/s
- There will be no terminal velocity.
A particle is acted simultaneously by mutually perpendicular simple hormonic motions $\text{x}=\text{a}\cos\omega\text{t}\ \text{and}\ \text{y}=\text{a}\sin\omega\text{t}.$ The trajectory of motion of the particle will be:
→The temperature of a gas is $-78^{\circ} \mathrm{C}$ and the average translational kinetic energy of its molecules is $\mathrm{K}$. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes $2 \mathrm{~K}$ is :
→A solid cube of wood of side $2 a$ and mass $M$ is resting on a horizontal surface as shown in the figure below. The cube is free to rotate about a fixed axis $A B . A$ bullet of mass $m( < < M)$ and speed $v$ is shot horizontally at the face opposite to $A B C D$ at a height of $4 a / 3$ from the surface to impart the cube an angular speed $\omega$. It strikes the face embeds in the cube. Then, $\omega$ is close to (Note : The moment of inertia of the cube about an axis perpendicular to the face and passing through the centre of mass is $\left.2 M a^2 / 3\right)$
→An ideal gas heat engine operates in a Carnot cycle between 227°C and 127°C. It absorbs 6 k cal of heat at higher temperature. The amount of heat in k cal rejected to sink is
A mass $M$ is placed on a very smooth wedge resting on a surface without friction. Once the mass is released, the acceleration to be given to the wedge so that $M$ remains at rest is $a$ where
→The phase difference between displacement and acceleration of a particle in a simple harmonic motlon is
If the momentum of a body is increased by $100\%$, then the percentage increase in the kinetic energy is ............ $\%$
→Which of the following velocity-time graphs represent uniform motion
The graphs below shows the magnitude of the force on a particle as the particle moves along the positive $x$ axis from the origin to $x = x_1$. The force is parallel to the $x$ axis and is conservative. The maximum magnitude $F_1$ has the same value for all graphs. Rank the situations according to the change in the potential energy associated with the force, least (or most negative) to greatest (or most positive).
→