MHT CET · Physics · Units and Dimensions
Which one of the following combination of constants has dimensions of time? \([\mathrm{G}=\) constant of gravitation, \(\mathrm{h}=\) Planck's constant, \(\mathrm{c}=\) velocity of light \(]\)
- A \(\left[\frac{G h}{c^{5}}\right]^{\frac{1}{2}}\)
- B \(\left[\frac{G h}{c}\right]^{\frac{1}{2}}\)
- C \(\left[\frac{G h}{c^{4}}\right]^{\frac{1}{2}}\)
- D \(\left[\frac{G h}{c^{3}}\right]^{\frac{1}{2}}\)
Answer & Solution
Correct Answer
(A) \(\left[\frac{G h}{c^{5}}\right]^{\frac{1}{2}}\)
Step-by-step Solution
Detailed explanation
\([G] = [M^{-1}L^3T^{-2}]\) \([h] = [ML^2T^{-1}]\)
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