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Gravitation — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsGravitation1 Mark
Question
Assertion : The universal gravitational constant is same as acceleration due to gravity.
Reason : Gravitational constant and acceleration due to gravity have same dimensional formula.
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Answer

(d) The universal gravitational constant $G$ is totally different from $g$.$G=\frac{F R^2}{M m}$The constant $G$ is scalar and posses the dimensions $\left[M^{-1} L^3 T^{-2}\right]$.$g=\frac{G M}{R^2}$$g$ is a vector and has got the dimensions $\left[M^0 L T^{-2}\right]$.It is not a universal constant.

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