Question

The dimensional formula of physical quantity is given by the formula MaLb Tc. Find the physical quantity if a = 1, b = 1, c = -2.
1. Energy
2. Force
3. Power
4. surface tension

Answer 1

Correct Answer - Option 2 : Force

CONCEPT:

• Dimensional formula: It is a compound expression showing which of the fundamental quantities are involved in making that physical quantity and how are they involved.
  • The dimensional formula for Force is [MLT-2]
  • The dimensional formula for Energy is [ML2T-2]
  • The dimensional formula for Power is [ML2T-3]
  • The dimensional formula for surface tension is [MT^-2]

EXPLANATION:

• In the question given the dimensional formula for quantity is [MaLbTc]
• If we put a = 1; b = 2 and c = -2; it become

[MaLbTc] = [M1L1T-2] = [MLT-2]

• That is the dimensional formula for Force.
• So the correct answer is option 2.