EXPLANATION
Question: What are the dimensions of resistance?
- a) M L² T⁻³ A⁻²
- b) M L² T⁻² A⁻¹
- c) M L T⁻³ A⁻¹
- d) M L T⁻² A⁻²
ANSWER: a) M L² T⁻³ A⁻²
EXPLANATION:
The dimensions of resistance are ML²T⁻³A⁻². So the answer is (a).
M stands for mass.
L stands for length.
T stands for time.
A stands for current.
The dimensional formula of resistance can be derived from the following equation:
Code snippet
R = V/I
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where:
R is the resistance
V is the voltage
I is the current
The voltage has the dimensions of ML²T⁻³A⁻¹, and the current has the dimensions of A. Therefore, the resistance has the dimensions of ML²T⁻³A⁻².
