AP EAMCET · PHYSICS · Units and Dimensions
If \(C\) the velocity of light, \(h\) Planck's constant and \(G\) gravitational constant are taken as fundamental quantities, then the dimensional formula of mass is
- A \(h^{-1 / 2} G^{1 / 2} C^0\)
- B \(h^{1 / 2} C^{1 / 2} G^{-1 / 2}\)
- C \(h^{-1 / 2} C^{1 / 2} G^{-1 / 2}\)
- D \(h^{-1 / 2} C^{-1 / 2} G^{-1 / 2}\)
Answer & Solution
Correct Answer
(B) \(h^{1 / 2} C^{1 / 2} G^{-1 / 2}\)
Step-by-step Solution
Detailed explanation
Let, \(\begin{aligned} M & =C^a h^b G^c \\ \mathrm{ML}^0 \mathrm{~T}^0 & =\left[\mathrm{LT}^{-1}\right]^a\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]^{\mathrm{b}}\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]^{\mathrm{a}} \end{aligned}\) where,…
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