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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 : Density of the unknown liquid (rho) is : |
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Answer» `2 rho_(W)`  For resonance with ARM -1 `f_(0)=(V)/(4l_(1))rArr l_(1)=0.25m` For resonance , with arm-2 `f_(0)=(3v)/(4l_(2))rArr l_(2)=0.75 m` `rho_(0)+rho_(w)G(0.75)=rho_(0)+rhog(0.25)rArr rho = 3 rho_(w)`. |
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