JEE Main 2022 Physics question

PhysicsUnits and MeasurementJEE Main 2022

Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is and radius of the drop is r, then is dimensionally correct, where K is dimensionless. Reason (R) : Using dimensional analysis we get R.H.S. having different dimension than that of time period. In the light of above statements, choose the correct answer from the options given below.

Answer: (4)

Solution

For : , and , so = . The dimension of the quantity under the root is $M·

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Question ID VK-035076