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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

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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]

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