A liquid of mass m is set into oscillations in a U-tube of cross section A. Its time period recorded is T, where T=2πl2g, here l is the total length of liquid column . If the liquid of same mass is set into oscillations in U-tube of A cross section A16 if the time period of 16 oscillation in this case is found to be T'. Find the ratio of T′T.
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answer is 4.0.
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Detailed Solution
Mass is constant ⇒ volume density = constant ⇒V1d=V2d(Al)d=A16l′d⇒l′=16l∵T=2πl2g⇒T′T=l′l=16ll=4