Question Detail

PHY 101 Physical Quantities, Units, and Dimensions Objective Question

Question

Which of the following is a dimensionless quantity?
Options
A Force
B Angle
Correct Answer
C Velocity
D Acceleration
Correct Answer

Option B is the correct answer.

Detailed Explanation

An angle, measured in radians, is defined as the ratio of arc length to radius. Since it is a ratio of two lengths, its dimensions cancel out, making it a dimensionless (or pure) quantity.

Hint

A quantity is dimensionless if it is a ratio of two quantities with the same units.

Question Info