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NEET UG PHYSICS MCQ: UNITS & MEASUREMENTS

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Application +4 | -1
A gas bubble from an explosion under water oscillates with a time period T, depends upon static pressure p, density of water ρ\rho and the total energy of explosion E. Find the expression for the time period T.(where, k is a dimensionless constant)
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Correct option: A
T=kp−5/6ρ1/2E1/3T = k{p^{ - 5/6}}{\rho ^{1/2}}{E^{1/3}}
Option A (T=kp−5/6ρ1/2E1/3T = k{p^{ - 5/6}}{\rho ^{1/2}}{E^{1/3}}) is correct because dimensional analysis confirms that the dimensions of this expression match the dimensions of time.

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