[ML²T⁻²] are dimensions of
Correct Answer :
moment of force
Solution :
The correct option is moment of force.
To find the correct quantity, let us analyze the dimensional formulas of the options given:
1. Force:
Force is defined as mass multiplied by acceleration.
The dimensional formula for mass is and for acceleration is .
Therefore, the dimensions of force are:
2. Moment of Force (Torque):
Moment of force is defined as the product of force and the perpendicular distance from the axis of rotation.
The dimensions of distance are .
Therefore, the dimensions of moment of force are:
3. Momentum:
Momentum is mass multiplied by velocity.
The dimensions of velocity are .
Therefore, the dimensions of momentum are:
4. Power:
Power is work done per unit time.
Work has dimensions of energy, which is .
Therefore, the dimensions of power are:
Comparing the derived dimensions with the given dimensional formula , we find that it matches the dimensions of moment of force.
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