Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The expression \(\left[ML^{2}T^{-2}\right]\) represents
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Analyze the dimensions given in the expression, which is [ML^{-1}T^{-2}].
Step 2: Recognize that this dimensional formula corresponds to pressure, as pressure is defined as force per unit area.
The unit of force is Newton (N), which can be expressed as [MLT^{-2}].
Therefore, pressure (P) is given by:
P = \frac{Force}{Area} = \frac{MLT^{-2}}{L^2} = [ML^{-1}T^{-2}].
Step 3: Check other options:
- Kinetic energy has dimensions of [ML^{2}T^{-2}].
- Momentum has dimensions of [MLT^{-1}].
- Power has dimensions of [ML^{2}T^{-3}].
Thus, the only option that fits is Pressure.
Therefore, the correct answer is A.
Step 2: Recognize that this dimensional formula corresponds to pressure, as pressure is defined as force per unit area.
The unit of force is Newton (N), which can be expressed as [MLT^{-2}].
Therefore, pressure (P) is given by:
P = \frac{Force}{Area} = \frac{MLT^{-2}}{L^2} = [ML^{-1}T^{-2}].
Step 3: Check other options:
- Kinetic energy has dimensions of [ML^{2}T^{-2}].
- Momentum has dimensions of [MLT^{-1}].
- Power has dimensions of [ML^{2}T^{-3}].
Thus, the only option that fits is Pressure.
Therefore, the correct answer is A.
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