TS EAMCET · Physics · Units and Dimensions
The energy \((E)\), angular momentum \((L)\) and universal gravitational constant \((G)\) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant \((h)\) is
- A Zero
- B \(-1\)
- C \(\frac{5}{3}\)
- D \(1\)
Answer & Solution
Correct Answer
(A) Zero
Step-by-step Solution
Detailed explanation
\begin{aligned} & h \propto G^x L^y E^z \\ & {\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-1}\right] \propto\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]^x\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-1}\right]^y\left[\mathrm{M}^1 \mathrm{~L}^2…
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