Question

[ML^-1T^-2] is the dimensional formula of _________.

1. Acceleration
2. Force
3. Pressure
4. Work

Answer 1

Correct Answer - Option 3 : Pressure

The correct answer is Pressure.

• Dimensional Formula: The expression which shows how and which of the base quantities represents a physical quantity is called the dimensional formula of the given physical quantity.
• Pressure
  • It is the force acting perpendicularly on a unit area of the object.
  • Its SI unit is N/m2, also called pascal.
  • It is a scalar quantity.
  • Pressure= Force/Area= Mass*Acceleration/Area = [M]*[LT^-2] / [L²] = [ML^-1T^-2]

• Work
  • When a body is displaced by applying force on it, then work is said to be done.
  • Its SI unit is Newton-meter or Joule and CGS unit is Erg.
  • It is a scalar quantity.
  • 1 joule= 107erg
  • Work= Force* Displacement = [ML^-2T^-2]
• Force
  • Any action which causes pull or push on a body is called force.
  • It is a vector quantity.
  • Its SI unit is Newton and the CGS unit is Dyne.
  • 1 newton= 105dyne.
  • Force= Mass*Acceleration= [MLT^-2]
• Acceleration
  • It is the time rate of change of velocity of a body.
  • It is a vector quantity.
  • Its SI unit is m/s2.
  • Acceleration= Velocity/Time= [M⁰LT^-2]