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Given below are two statements:Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.Statement II: Acceleration due to earth's gravity is same at a height 'h' and depth 'd' from earth's surface, if h = d.In the light of above statements, choose the most appropriate answer form the options given belowStatement I is incorrect but statement II is correctBoth Statement I and Statement II are incorrectStatement I is correct but statement II is incorrectBoth Statement I and II are correct

Question

Given below are two statements:Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.Statement II: Acceleration due to earth's gravity is same at a height 'h' and depth 'd' from earth's surface, if h = d.In the light of above statements, choose the most appropriate answer form the options given belowStatement I is incorrect but statement II is correctBoth Statement I and Statement II are incorrectStatement I is correct but statement II is incorrectBoth Statement I and II are correct

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Solution

Both Statement I and II are correct.

Explanation:

Statement I: The acceleration due to Earth's gravity does decrease as you move away from the Earth's surface, either up into space or down towards the core. This is because gravity is a force that acts between two masses and its strength decreases with distance.

Statement II: The acceleration due to Earth's gravity is indeed the same at a height 'h' above the Earth's surface and a depth 'd' below the surface, provided that h = d. This is because the gravitational force at a certain distance from the center of the Earth depends only on the amount of mass closer to the center than that point. So, if you are at a height 'h' above the surface or at a depth 'd' below the surface, and h = d, you are the same distance from the center of the Earth and thus experience the same gravitational acceleration.

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