In a resonance tube experiment, the first two resonance lengths are observed at 16 cm and 50 cm. The end correction of the tube is:

A pulse of a wave train travels along a stretched string and reaches the fixed end of the string. It will be reflected with

Two identical sound $A$ and $B$ reach a point in the same phase. The resultant sound is $C$. The loudness of $C$ is n $dB$ higher the loudness of $A$.

The intensity of sound from a radio at a distance of $2\,\,metres$ from its speaker is $1 imes {10^{ - 2}}\mu W/{m^2}$. The intensity at a distance of $10\,\,metres$ would be

Velocity of sound measured in hydrogen and oxygen gas at a given temperature will be in the ratio

Two monochromatic coherent light beams A and B have intensities $I$ and $\frac{I}{4}$ respectively. If these waves are superposed, the maximum and minimum intensities will be

The transverse displacement of string fixed at both ends is given by $y = 0.06\,\sin \left( {\frac{{2\pi x}}{3}} \right)\cos \left( {120\,\pi t} \right)$, where x and y are in metre and t is in second. The length of the string is 1.5m and its mass is $3 imes {10^{ - 2}}\,\,kg$ . The tension in the string is equal to

The displacement wave in a string is given as $y = 5\sin \left( {62.8x - 157t} \right)$ . Here y and x are in cm and t in second. The wavelength of the wave is

In a resonance tube, using a tuning fork of frequency $325\,\,Hz$, two successive resonance length are observed as $25.4\,\,cm$ and $77.4\,\,cm$ respectively. The velocity of sound in air is

Stationary waves are set up in air column. Velocity of sound in air is $330\,\,m/s$ and frequency is $165\,\,Hz$. Then distance between the nodes is

Two sound waves (expressed in $CGS$ units) given by ${y_1} = 0.3\,\,\sin \frac{{2\pi }}{\lambda }\left( {vt - x} \right)$ and ${y_2} = 0.4\sin \frac{{2\pi }}{\lambda }\left( {vt - x + heta } \right)$ interfere. The resultant amplitude at a place where phase difference is $\pi /2$ will be