AIIMS2014PhysicsUnits and Dimensions
If the units of length, mass and force are chosen as fundamental units, the dimensions of time would be
Options
- A[ M ^ 1 / 2 ~L ^ -1 / 2 ~F ^ 1 / 2 ]
- B[ M ^ 1 / 2 ~L ^ 1 / 2 ~F ^ 1 / 2 ]
- C[ M ^ 1 / 2 ~L ^ 1 / 2 ~F ^ -1 / 2 ]
- D[ M ^ 1 / 2 ~L ^ -1 / 2 ~F ^ -1 / 2 ]
Correct answer
C. [ M ^ 1 / 2 ~L ^ 1 / 2 ~F ^ -1 / 2 ]
Step-by-step solution
aligned As F= [ MLT ⁻² ] or & [ T ^2 ]= [ ML ] [ F ] or [ T ] & = [ M ^ 1 / 2 ~L ^ 1 / 2 ~F ^ -1 / 2 ] aligned