JEE Main20199 Jan 2019Evening ShiftPhysicsUnits and DimensionsActual
Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:
Options
- AG h c 3
- Bh c 5 G
- CG h c 5
- Dc 3 G h
Correct answer
C. G h c 5
Step-by-step solution
t = G α . h β c r T = M - 1 L 3 T - 2 α M L 2 T - 1 β L T - 1 γ = M - α + β L 3 α + 2 β + γ T - 2 α - β - γ - α + β = 0 3 α + 2 β + γ = 0 - 2 α - β - γ = 1 ∴ α = 1 2 ; β = 1 2 ; γ = - 5 2