Formation of Standing Waves in an Air Column

The frequency of a sonometer wire is $f$, but when the weight producing the tensions are completely immersed in water the frequency becomes $\frac{f}{2}$ and on immersing the weights in a certain liquid the frequency becomes $\frac{f}{3}$. The specific gravity of the liquid is

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

A string of length $1.5 \mathrm{m}$ with its two ends clamped is vibrating in the fundamental mode. The amplitude at the centre of the string is $4 \mathrm{mm}$. The minimum distance between the two points having amplitude of $2 \mathrm{mm}$ is:

A closed pipe of length $300 \mathrm{cm}$ contains some sand. A speaker is connected at one of its ends. The frequency of the speaker at which the sand will arrange itself in $20$ equidistant piles is close to (velocity of sound is $300 \mathrm{m} {\mathrm{s}}^{-1}$)

The ratio of first harmonic of open organ pipe and closed organ pipe for the same length is

fundamental frequency of closed organ pipe is ( $\mathrm{V}=$velocity of sound in air, $\mathrm{L}=$Length of organ pipe)

Fundamental frequency of open organ pipe is ( $\mathrm{V}=$Velocity of sound in air, $\mathrm{L}=$Length of pipe)

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

At the closed end of an organ pipe:

The fundamental frequency of a string is proportional to.

A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now:

On which principle does sonometer work?

A source of frequency 340 Hz is kept above a vertical cylindrical tube closed at lower end. The length of the is 120cm. Water is slowly poured in just enough to produce resonance. Then the minimum height (velocity of sound = $340m/s$ ) of the water level in the tube for that resonance is,

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

A string is vibrating in its fifth overtone between two rigid supports 2.4 $\mathrm{m}$ apart. The distance between successive node and antinode is

The fundamental frequency of an air column in a pipe closed at one end is $100 \mathrm{Hz}$. If the same pipe is open at both the ends, the frequencies produced in $\mathrm{Hz}$ are

In sonometer experiment, the string of length $L$ under tension vibrates in second overtone between two bridges. The amplitude of vibration is maximum at

The frequency of the first overtone of a closed pipe of length $l_c$ is equal to that of the third overtone of an open pipe of length $l_o$. The ratio $\frac{l_o}{l_c}$ will be,

For the stationary wave $y=4\sin \left(\frac{\pi x}{15}\right)\cos \left(96\mathrm{ }\pi t\right)$ , the distance between a node and the next antinode is

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: