Question Details

[ML²T⁻²] are dimensions of

Options

A

force

B

moment of force

C

momentum

D

power

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.
Force=mass×acceleration
The dimensional formula for mass is [M] and for acceleration is [LT-2].
Therefore, the dimensions of force are:
[Force]=[MLT-2]

2. Moment of Force (Torque):
Moment of force is defined as the product of force and the perpendicular distance from the axis of rotation.
Moment of force=Force×distance
The dimensions of distance are [L].
Therefore, the dimensions of moment of force are:
[Moment of force]=[MLT-2]×[L]=[ML2T-2]

3. Momentum:
Momentum is mass multiplied by velocity.
Momentum=mass×velocity
The dimensions of velocity are [LT-1].
Therefore, the dimensions of momentum are:
[Momentum]=[MLT-1]

4. Power:
Power is work done per unit time.
Power=WorkTime
Work has dimensions of energy, which is [ML2T-2].
Therefore, the dimensions of power are:
[Power]=[ML2T-2][T]=[ML2T-3]

Comparing the derived dimensions with the given dimensional formula [ML2T-2], we find that it matches the dimensions of moment of force.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • JEE
  • intermediate
  • 3 hours
  • chemistry, mathematics, physics

  • JEE
  • intermediate
  • 3 hours
  • chemical engineering, mathematics, physics