MHT CET202020 Oct 2020Morning ShiftPhysicsUnits and DimensionsActual
In the equation, pressure P = c - t ² DS , S and t represent the distance and time respectively. The dimensions of ( D c ) are
Options
- A[ L ⁰ M ⁻¹ ~T ² ]
- B[ L ⁰ M ¹ ~T ¹ ]
- C[ L ¹ M ⁻¹ ~T ⁻² ]
- D[ L ¹ M ¹ ~T ² ]
Correct answer
A. [ L ⁰ M ⁻¹ ~T ² ]
Step-by-step solution
[S]=[L] , [t]=[T] ,[P]= [M L⁻¹ T⁻² ] . Also. [C]= [T² ] (i) Now, [M L⁻¹ T⁻² ]= [T² ] [D][L] [D]= [ array lll M⁻¹ L⁰ T⁴ array ] (ii) Now (i i / i) [D] [C] = [M⁻¹L⁰ T⁴ ] [T² ] = [L⁰ M⁻¹ T² ]