A satellite must experience an acceleration due to gravity equal to of the Earth’s…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A satellite must experience an acceleration due to gravity equal to

0.90\,g

of the Earth’s surface value. Simultaneously, inside a vertical shaft dug into Earth, there is a depth where the acceleration is also

0.90\,g

. Which pair of altitude

h

and depth

d

(both in km) satisfies this condition? (Take Earth’s radius

R = 6400\,\text{km}

.) (a)

h \approx 640\,\text{km},\; d \approx 350\,\text{km}

(b)

h \approx 350\,\text{km},\; d \approx 640\,\text{km}

(c)

h \approx 350\,\text{km},\; d \approx 350\,\text{km}

(d)

h \approx 320\,\text{km},\; d \approx 640\,\text{km}