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7.Gravitation
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પૃથ્વીની સપાટીથી $h$ ઊંચાઇ પર ગુરુત્વપ્રવેગ અને $x$ ઊંડાઇ પર ગુરુત્વપ્રવેગ સમાન હોય,તો
A
$x = h$
B
$x = 2h$
C
$x = \frac{h}{2}$
D
$x = {h^2}$
(AIEEE-2005)
Solution
(b) The value of $g$ at the height h from the surface of earth $g' = g\,\left( {1 – \frac{{2h}}{R}} \right)$
The value of g at depth $x$ below the surface of earth $g' = g\,\left( {1 – \frac{x}{R}} \right)$
These two are given equal, hence $\left( {1 – \frac{{2h}}{R}} \right) = \left( {1 – \frac{x}{R}} \right)$
On solving, we get $x = 2h$
Standard 11
Physics
