Question

If A is the dimension of current and T is the dimension of time, the  AT is the dimensional formula of ______.
1. Voltage
2. Electric Charge
3. Work
4. Resistance

Answer 1

Correct Answer - Option 2 : Electric Charge

Concept:

Dimensional Formula

• It depicts the way to relate any unit to fundamental Units.
• If we have to find The dimensional formula of any quantity.
•  At first, we find its units in terms of these fundamental units, and then replace units with these dimensions.

Dimensional Formula of Fundamental Units are

Physical Quantity	SI Unit	Dimension
Mass	Kg	M
Time	Second	T
Length	Meter	L
Current	Ampere	A
Temperature	Kelvin	K

Explanation:

• A is the dimension of current, and T is the dimension of time. 
• AT is the dimension of the unit, which is the multiplication of current and time. 
• Current is charge flowing per unit time. 

I = q / t

So, q = I × t

The charge is the product of current and time.

So, the correct option is electric charge. 

Physical Quantity	Dimension
Voltage	[M L2 T-3 A-1]
Work	[M L 2 T -2]
Resistance	[ML2 T-3 A-2]