MHT CET202012 Oct 2020Morning ShiftPhysicsUnits and DimensionsActual
If the dimensions of a physical quantity are given by [ L ^ a M ^ b T ^ c ] then the physical quantity is
Options
- Avelocity if a=-1, b=0, c=+1
- Bforce if a=-1, b=1, c=-2
- Cpressure if a=-1, b=1, c=-2
- Dacceleration if a =1, ~b =1, c =-2
Correct answer
C. pressure if a=-1, b=1, c=-2
Step-by-step solution
A. pressure if a=1, b=-1, c=2 Dimensions of velocity = [ M ⁰ ~L ¹ ~T ⁻¹ ] Here, a=0, b=1, c=-1 Dimension of acceleration = [ M ⁰ ~L ¹ ~T ⁻² ] Dimension of force = [ M ¹ ~L ¹ ~T ⁻² ] Dimension of pressure = [ M ¹ ~L ⁻¹ ~T ⁻² . The physical quantity is pressure.