NEET2009PhysicsUnits and DimensionsActual
If the dimensions of a physical quantity are given by M ^ a L ^ b T ^c , then the physical quantity will be
Options
- Apressure if a =1, ~b =-1, c =-2
- Bvelocity if a=1, b=0, c=-1
- Cacceleration if a =1, b=1, c=-2
- Dforce if a =0, ~b =-1, c =-2
Correct answer
A. pressure if a =1, ~b =-1, c =-2
Step-by-step solution
(i) Dimensions of velocity = [ M ^0 ~L ^1 ~T ⁻¹ ] Here, a=0, b=1, c=-1 (ii) Dimensions of acceleration = [ M ^0 ~L ^1 ~T ⁻² ] Here, a=0, b=1, c=-2 (iii) Dimensions of force = [ M ^1 ~L ^1 ~T ⁻² ] Here, a=1, b=1, T=-2 (iv) Dimensions of pressure = [ M ^1 ~L ⁻¹ ~T ⁻² ] Here, a =1, ~b =-1, c =-2 The physical quantity is pressure.