Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

If the dimensions of a physical quantity are given by $M^aL^bT^c$ , the physical quantity will be.

Options:

Pressure if a = 1, b = -1, c= -2

velocity if a = 1, b = 1, c = -2

Acceleration if a = 1, b = 1, c = -2

Acceleration if a = 1, b = -1, c = -2

Correct Answer:

Pressure if a = 1, b = -1, c= -2

Explanation:

 Dimension of P= $\frac{Force}{Area}$

[P] = $\frac{[MLT^{-2}]}{[L^2]}$ = $[ML^{-1}T^{-2}]$

 i.e a = 1, b = -1, c= -2

Dimension of velocity = $[LT^{-1}]$ a = 0 , b = 1 , c = -1

Dimension of acceleration = $[LT^{-2}]$ a = 0 , b = 1 , c = -2