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At the height h above the surface of earth, the value of g: (R is radius of the earth)

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Falls by

1%

of the value at the surface if

h = 9R

Falls by

1%

of the value at the surface if

h = 7 R

Falls by

1%

of the value at surface if

h = 32 km

Falls by

1%

of the value of surface if

h = 64 km

answer is D.

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Detailed Solution

If  h < < {R,   g}_{h} = g [1 - \frac{2h}{R}] = g - \frac{2gh}{R}

$\frac{2gh}{R} = g - g_{h} \Rightarrow \frac{2h}{R} \times 100 = \frac{g - g_{h}}{g} \times 100 = 1$

$\frac{2h}{6400} \times 100 = 1$

$h = 32 km$

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