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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Units and Dimensions

Olympiad workbook · NSEP · Units and Dimensions

If speed of light c , Planck's constant h and gravitational...

If speed of light cc, Planck's constant hh and gravitational constant GG are chosen as fundamental quantities, dimensions of time in this system of units is

Options

  1. Ach3/2G−3/2\mathrm{ch}^{3 / 2} \mathrm{G}^{-3 / 2}
  2. B\mathrmc−2G1/2 h\mathrmc^{-2} \mathrm{G}^{1 / 2} \mathrm{~h}
  3. Cc2G1/2h5/2c^2 G^{1 / 2} h^{5 / 2}
  4. Dc−5/2G1/2h1/2c^{-5 / 2} G^{1 / 2} h^{1 / 2}

Correct answer

D. c−5/2G1/2h1/2c^{-5 / 2} G^{1 / 2} h^{1 / 2}

Step-by-step solution

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