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Question
At what height h above earth, the value of g becomes `g/2` (where R = radius of earth)?
Options
`(sqrt2-1)"R"`
`sqrt2 "R"`
`(sqrt2+1)"R"`
`"R"/sqrt2`
MCQ
Solution
`(sqrt2-1)"R"`
Explanation:
`"g'" = "g" ("R"/"R+h")^2`
`"Given g'" = "g"/2`
`1/2 = ("R"/"R+h")^2 Rightarrow 1/sqrt2 = "R"/"R+h"`
`Rightarrow "h" = "R" (sqrt2 - 1)`
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Variation in the Acceleration Due to Gravity with Altitude, Depth, Latitude and Shape
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