JEE Mains · Physics · STD 11 - 7. gravitation
If the acceleration due to gravity experienced by a point mass at a height \(h\) above the surface of earth is same as that of the acceleration due to gravity at a depth a depth \(\alpha\) h \(\left(h \ll R_{e}\right)\) from the earth surface. The value of \(\alpha\) will be\(....\)(use \(R _{ e }=6400\,km\) )
- A \(5\)
- B \(3\)
- C \(2\)
- D \(0\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
\(g\left(1-\frac{2 h}{R}\right)=g\left(1-\frac{d}{R}\right)\) \(\frac{2 h}{R}=\frac{d}{R}\) \(\alpha h=d\) \(\alpha=2\)
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