EXPLANATION
- a) M⁰L⁰T⁰A
- b) M⁰L⁰T¹A
- c) M⁰L¹T¹A¹
- d) M⁰L⁰T⁻¹A
ANSWER: b) M⁰L⁰T¹A.
EXPLANATION:
The answer is b) M⁰L⁰T¹A.
Electric charge is a scalar quantity, meaning that it has magnitude but no direction. The SI unit of electric charge is the coulomb (C). The dimensional formula of electric charge is [M⁰L⁰T¹A], which means that it has no units of mass, length, or time, and it has an exponent of 1 for the unit of current.
Here is a breakdown of the dimensional formula:
M: Mass
L: Length
T: Time
A: Current
M⁰: There is no mass in the dimensional formula for electric charge.
L⁰: There is no length in the dimensional formula for electric charge.
T¹: There is a time in the dimensional formula for electric charge, but it has an exponent of 1. This means that the time term is multiplied by the unit of current, which has an exponent of 1.
A¹: The unit of electric charge is the coulomb, which is an ampere multiplied by a second. Therefore, the exponent of A in the dimensional formula is 1.
