Q82 / 90 · JEE Main 2021 (26 Feb Shift 2) · Physics

In the reported figure of earth, the value of acceleration due to gravity is same at point A and C but it is smaller than that of its value at point B (surface of the earth). The value of OA:AB will be x:5. The value of x is

Figure

Correct answer: 4

Solution

Figure

gA=GMrR3

gC=GMR+R22
gA=gC

rR3=194R2⇒r=4R9

so OA=4R9; AB=R-r=5R9

OA:AB=4:5

Hence, the correct answer is 4.

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