The value of ‘g’ (acceleration due to gravity) is minimum at:
Correct Answer :
The center of the Earth
Solution :
The correct option is The center of the Earth.
Acceleration due to gravity () is the rate at which an object accelerates towards the Earth due to its gravitational attraction.
The value of acceleration due to gravity at a depth inside the Earth is given by the formula:
where is the acceleration due to gravity at the surface of the Earth, and is the radius of the Earth.
At the center of the Earth, the depth becomes equal to the radius of the Earth (). Substituting into the formula gives:
Since the acceleration due to gravity at the center of the Earth is zero, it reaches its absolute minimum value at this point.
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