1.

A tuning fork vibrating with frequency of 512 Hz is kept close to the open end of a tube filled with water (figure). The water level in the tube is gradually lowered. When the water level is 17cm below the open end maximum internsity of sound is heard If the room temperature is 20^(@)C calculate

Answer»

Speed of sound in air at room TEMPERATURE
speed of sound in air at `0^(@)C`
If the water in the tube is replaced with mercury, will there be any difference in your observation ?
All of the above

Solution :If a pipe partially filled with water whose upper surface of the water acts as a reflecting surface of a closed organ pipe. If the length of the air column is veried until its natural frequency equals the frequency of the fork, then the coloumn resonates and EMITS LOUD note The frequency of tuning fork `f=512Hz`
(`a`) For list maximum of intersity the length of the air coloumn `l=(lambda)/(4) implies 4l=4xx17xx10^(-2)m`
Hence speed of sound `v=f lambda=512(417xx10^(-2))`
`=348.16m//s`
(`b`) We know that `v prop sqrt(T)` where temperature (`T`) is in kelvin
`(v_(20))/(V_(0))=sqrt((273+20)/(273+0))=sqrt((293)/(273))`
`(v_(20))/(V_(0))=sqrt(1.073)=1.03`
`v_(0)=(v_(20))/(1.03)=(348.16)/(1.03)=338m//s`
(`c`) The resonance will still be observed for `17cm` length of air coloumn above mercuy. However due to more compelete reflection of sound WAVES or mercury. However due to conplete reflection of sound waves at mercury, surface the INTENSITY relected sound increases.


Discussion

No Comment Found

Related InterviewSolutions