MHT CET 2024 Physics question
A tube of uniform bore of cross-sectional area 'A' has been set up vertically with open end facing up. Now 'M' gram of a liquid of density 'd' is poured into it. The column of liquid in this tube will oscillate with a period 'T', which is equal to
[g = acceleration due to gravity]
Answer: (B)
Solution
Treat the tube as a U-tube of uniform bore. If the liquid column is displaced by in one limb, the level in the other limb rises by and the net height difference is . The restoring force is the weight of the extra liquid column of height : . The total mass of liquid is where
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