According to the principle of homogeneity of dimensions, in an equation A = B + C, what must be true about the dimensions of A, B, and C? MCQ with Answer and Explanation

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According to the principle of homogeneity of dimensions, in an equation A = B + C, what must be true about the dimensions of A, B, and C?

A. A, B, and C must all have identical dimensions.

B. B and C must be dimensionless.

C. A must be dimensionless.

D. A must equal B times C.

Answer: Option A

Solution (By JKExamLibrary)

The principle of homogeneity states that you can only add or subtract physical quantities that have the exact same dimensional formula (you can't add mass to length). Therefore, in the equation A = B + C, the terms B and C must have the same dimensions, and their sum will yield a quantity A that also shares those exact same dimensions.

This question belongs to: Science Physics

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Practice More Physics Questions

Question #1 Report Error

A body of mass 2 kg has momentum 10 kg m/s. Its kinetic energy is

A. 50 J

B. 5 J

C. 25 J

D. 20 J

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Correct Answer: Option C

Explanation:
Kinetic energy K = p²/(2m) = (10)²/(2×2) = 100/4 = 25 J. Also, velocity v = p/m = 5 m/s, K = ½×2×5² = 25 J. Formula p²/(2m) is useful for quick computation. Always ensure units: kg, m/s, J.

This question belongs to: Science Physics

Question #2 Report Error

Which of the following is not a fundamental unit in SI?

A. Newton

B. Kelvin

C. Kilogram

D. Ampere

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Correct Answer: Option A

Explanation:
Fundamental units: kg, m, s, A, K, mol, cd. Newton is derived (kg m/s²). Therefore, Newton is not fundamental. Remember the seven base units.

This question belongs to: Science Physics