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Question

A test tube of cross-sectional area a has some lead shots in it. The total mass is m. It floats upright in a liquid of density d. When pushed down a little and released, it oscillates up and down with a period T. Choose the correct relationship from the following.


A

T=2πmagd

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B

T=2πmgad

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C

T=2πmdag

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D

T=2πmagd

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Solution

The correct option is D

T=2πmagd


The dimension of madg=ML2×ML3×LT2=T2
Dimension of 2πmadg=T
Hence, the correct choice is (d).


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