Standing Waves in Strings and Organ Pipes

In a sonometer wire the tension is maintained by suspending a 50.7 kg mass from the free end of the wire. The suspended mass has volume of 0.0075m^​3. The fundamental frequency of the wire is 260Hz. Find the new fundamental frequency if the suspended mass is completely submerged in water

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:

For a organ pipe of length $L$, closed at both ends, the first displacement node is presend at :

The fundamental frequency of a string is proportional to.

A travelling wave represented by $y=A\sin (\omega t-kx)$ is superimposed on another wave represented by $y=A\sin (\omega t+kx)$. The resultant is:

In stationary waves, nodes are the points where there is:

As an empty vessel is filled with water, its frequency:

An open pipe of length $33 \mathrm{cm}$ resonates with frequency of $1000 \mathrm{Hz}$ . If the speed of sound is $330\mathrm{m}/\mathrm{s}$, then this frequency is:

An organ pipe  ${\mathrm{P}}_1$ closed at one end vibrating in its first overtone and another pipe ${\mathrm{P}}_2$ open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of the length of ${\mathrm{P}}_1$ to that of${\mathrm{P}}_2$ is:

A closed organ pipe of length $\mathrm{L}$ and an open organ pipe contain gases of densities${\mathrm{\rho }}_1 \mathrm{and} {\mathrm{\rho }}_2$ respectively. The compressibility of gases is same in both the pipes which are vibrating in their first overtone with same frequency. The length of the open organ pipe is:

A standing wave is produced on a string fixed at one end and free at other. The length of string must be an _____.

A frequency of a sonometer wire is $100 \mathrm{Hz}$. When, after making length of its wire twice, the tension is increased, then its frequency becomes $75 Hz$. The ratio of its initial and final tension is:

The equation of a standing wave is $y=2a \sin \left(100t\right) \cos \left(0.1x\right)$, where $y$, a are in $\mathrm{mm}$, $t$ in second and $x$ in metre. The velocity of the progressive waves producing it is:

In a standing wave of frequency $1000 \mathrm{Hz}$, the distance between a node and the adjacent antinode is $10 \mathrm{cm}$. The velocity of the component waves is:

A wave of frequency $100 \mathrm{Hz}$ is sent towards the fixed end of a wire. When the wave returns after reflection, then a node is formed at a distance of 10 cm from the fixed end. The velocity of the incident (or reflected) wave is:

What type of vibration are produced in a Sonometer wire?

The displacement y of a particle executing periodic motion is given $\mathrm{y}= 4 \cos { }^2\left(\frac{1}{2}\mathrm{t}\right) \sin \left(1000\mathrm{t}\right)$ This expression may be considered to be a result of the superposition of :

Tube $A$ has both ends open while tube $B$ has one end closed. Otherwise, they are identical. The ratio of fundamental frequency of tube $A$ and $B$ is,

A wave of frequency $100 \mathrm{Hz}$ is sent along a string towards a fixed end. When this wave travels back, after reflection, a node is formed at a distance of $10 \mathrm{cm}$ from the fixed end of the string. The speeds of incident (and reflected) waves are

A resonance pipe is open at both ends and $30 \mathrm{cm}$ of its length is in resonance with an external frequency $1.1 \mathrm{kHz}$. If the speed of sound is $330 \mathrm{m} {\mathrm{s}}^{-1}$, which harmonic is in resonance?