KVPY 2020-21 SA Exam Previous Papers

Question : 25 of 80

Marks: +1, -0

At a height of 10 km above the surface of earth, the value of acceleration due to gravity is the same as that of a particular depth below the surface of earth. Assuming uniform mass density for the earth, the depth is,

1 km
5 km
10 km
20 km

Validate

Solution:

g_{h}=g(1-{2 h}/{R})

g_{d}=g(1-{d}/{R})

g_{h}=g_{d}

g(1-{2 h}/{R})=g(1-{d}/{R})

{2 h}/{R}={d}/{R}

d=2 h

=2 \× 10=20 {km}

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