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STANDARDPhysics-Units and Measurements

STANDARD Physics Dimensional Analysis MCQ Question

Type: MCQ-conceptual-Medium-Class 11

Using the principle of homogeneity of dimensions, which of the following is correct?

A

T² = 4π2r3GM\frac{4\pi^2 r^3}{GM}

B

T2=4π2r2T² = 4\pi²r²

C

T² = 4π2r3G\frac{4\pi^2 r^3}{G}

D

T = 4π2r2G\frac{4\pi^2 r^2}{G}

Correct Answer

Option A

Detailed Explanation

The principle of homogeneity of dimensions states that the dimensions of each term in a physical equation must be the same. Option A satisfies this condition as the dimensions on both sides of the equation are equal.

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