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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

  1. AG h c 3
  2. Bh c 5 G
  3. CG h c 5
  4. 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

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