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7.Gravitation
medium
The acceleration due to gravity about the earth's surface would be half of its value on the surface of the earth at an altitude of ......... $mile$. ($R = 4000$ mile)
A
$1200$
B
$2000$
C
$1600$
D
$4000$
Solution
(c) $\frac{{g'}}{g} = {\left( {\frac{R}{{R + h}}} \right)^2}$ ==> $\frac{1}{2} = {\left( {\frac{R}{{R + h}}} \right)^2}$==>$\frac{1}{2} = {\left( {\frac{{4000}}{{4000 + h}}} \right)^2}$
By solving we get $\,\,h = 1656.85\,\,mile \approx 1600\,\,mile$
Standard 11
Physics
