A liquid of mass m set into oscillations in a U-tube of cross section A. Its time period recorded is T, where `T = 2pisqrt((l)/(g))`, here l is the length of liquid column. If the liquid of same mass is set into oscillaions in U-tube of cross section `(A)/(16)` then determine time period of oscillation.
Text Solution
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Mass is constant `rArr` volume x density `=` constant `rArr V_(1)d = V_(2)d` `(Al)d = [A/(16)l']d rArr l' = 16l :' T = 2pisqrt((l)/(2g)) :. (T')/(T) = sqrt((16l)/(l)) = 4 rArr T' = 4T`
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