Concepts Of Physics MCQ Edition [Volume 1]PhysicsIntroduction to Physics
Select the correct statement(s):
Options
- AEvery quantity may be represented dimensionally in terms of the base quantities.
- BA base quantity cannot be represented dimensionally using the rest of the base quantities.
- CThe dimension of a base quantity in the other base quantities is always zero.
- DThe dimension of a derived quantity is never zero in any of the base quantities.
Correct answer
C. The dimension of a base quantity in the other base quantities is always zero.
Step-by-step solution
By definition, base quantities are fundamental and mutually independent. Therefore, a base quantity cannot be expressed in terms of other base quantities, which means its dimension in any other base quantity is always zero. Every physical quantity can be expressed dimensionally as a product of powers of the base quantities. Even dimensionless quantities can be represented with zero powers of base quantities. A derived quantity can have zero dimension in one or more base quantities. For example, velocity has the dim