NEET2021PhysicsUnits and DimensionsActual
If E and G respectively denote energy and gravitational constant, then E G has the dimensions of:
Options
- A[ M ] L 0 T 0
- B[ M ] L - 1 T - 1
- CM 2 L - 1 T 0
- DM 2 L - 2 T - 1
Correct answer
C. M 2 L - 1 T 0
Step-by-step solution
Dimensional Formulas, Energy, [ E ] = M 1 L 2 T - 2 Gravitational constant [ G ] = F r 2 M 2 = M 1 L 1 T - 2 × L 2 M 2 [ G ] = M - 1 L 3 T - 2 Now, E G = M L 2 T - 2 M - 1 L 3 T - 2 = M 2 L - 1 T 0 Correct option (3)