MCQ
Dimensions of gravitational constant are:
- ✓$\text{M}^{-1}\text{L}^3\text{T}^{-2}$
- B$\text{M}^{-2}\text{L}^3\text{T}^{-1}$
- C$\text{M}^{3}\text{L}^{-1}\text{T}^{-2}$
- D$\text{M}^{-1}\text{L}^2\text{T}^{-3}$
✓
Answer
Correct option: A.
$\text{M}^{-1}\text{L}^3\text{T}^{-2}$
From $\text{F}=\frac{\text{G}\text{m}_1\text{m}_2}{\text{r}^2}$
$\text{G}=\frac{\text{F}\text{r}^2}{\text{m}_1\text{m}_2}=\frac{(\text{MLT}^{-2})\text{L}^2}{\text{M}^2}=[\text{M}^{-1}\text{L}^3\text{T}^{-2}]$
$\text{G}=\frac{\text{F}\text{r}^2}{\text{m}_1\text{m}_2}=\frac{(\text{MLT}^{-2})\text{L}^2}{\text{M}^2}=[\text{M}^{-1}\text{L}^3\text{T}^{-2}]$
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