A U tube of the uniform bore of cross-sectional area A is set up vertically with open ends. A liquid of mass M and density d is poured into it. The liquid column will oscillate with a period

Question

A U tube of the uniform bore of cross-sectional area A is set up vertically with open ends. A liquid of mass M and density d is poured into it. The liquid column will oscillate with a period, 2 π M g, 2 π M A d g, 2 π M A d g, 2 π M 2 A d g

MARKS App · Accepted Answer

T = 2 π L g Where L is the length of the liquid is one of the limbs. However, if L is taken to be the length of the liquid column, then the length of liquid in each limb is L 2 . ⇒ T = 2 π L 2 g ⇒ M = AL d ⇒ L = M Ad ⇒ T = 2 π M 2 Adg

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