1.

A U-tube open from both ends, contain two arms, arm-1 and arm-2 each of having equal cross-section and height of each arm is 1m. Water of density rho_(w) and an unknown liquid of density rho is fliied as shown A tuning fork of frequency 300 Hz is vibrated on arm-1, then air column vibrated is fundamental tone. If the same tuning fork is vibrated on arm-2, then air column vibrates in 1st overtone V_("sound") = 300 m//sec , g = 10//sec^(2), density of water rho_(w) = 10^(3)kg//m^(2), atmospheric pressure = 10^(2) Pa) Nelect the effect of surface tension and end correction : Npw we use a tuning fork of frequency 302 Hz, instead of 300 Hz, with how much velocity should we move the tuning fork, so that resonance is created with the air column in any arm ?

Answer»

2 m/sec, towards the TUBE
2 m/sec away from the tube
4 m/sec towards the tube
4 m/sec away from the tube

Solution :For resonance APPEARED FREQUENCY for the tube should be still 300 Hz
`f'=f_(0)((V-V_(0))/(V-V_(s)))RARR 300=302 ((300-0)/(300-(-V)))`
`V=2 m//sec` away from the tube.


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