Home Physics Units, Dimensions and Measurement Dimensions The expression \(\left[ML^{\frac{2}{7}} \cdo…
Physics Units, Dimensions and Measurement Dimensions Single Correct MCQ
Published on: September 12, 2026

The expression \(\left[ML^{\frac{2}{7}} \cdot T^{-\frac{2}{7}}\right]\) represents

A
Pressure
B
Kinetic energy
C
Momentum
D
Power

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Text Solution

Verified by Experts
The correct answer is:
A
To determine what the expression \([ML^{-1}T^{-2}]\) represents, we can analyze its dimensional formula:

  • [M] stands for mass (in kilograms).
  • [L] stands for length (in meters).
  • [T] stands for time (in seconds).

Now, we break down the expression:

1. The unit \([M]\) indicates mass.
2. The unit \([L^{-1}]") indicates that it is divided by length, which is a characteristic of pressure (force per unit area).
3. The unit \([T^{-2}]\) indicates an inverse square relationship with time, which is typical in dynamics.

Combining these components, we recognize that the expression \([ML^{-1}T^{-2}]\) corresponds to pressure (force per unit area) as pressure is defined as \(P = \frac{F}{A} = \frac{[M][L][T^{-2}]}{[L^{2}]} = [ML^{-1}T^{-2}]\). Therefore, the correct answer is Option A: Pressure.

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