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If the diameter of earth becomes half keeping mass to be constant, then the acceleration due to gravity at surface of earth becomes
If the diameter of earth becomes half keeping mass to be constant, then the acceleration due to gravity at surface of earth becomes
Updated On: Apr 4, 2024
- half
- four times
- twice
- three times
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The Correct Option is B
Solution and Explanation
\(g=\frac{GM}{r^2}\)
⇒ \(g∝\frac1{r^2}\)
⇒ \(\frac{g'}g = (\frac r{\frac r{2}})^2 = 4\,times\)
Hence, the Correct Option is (D): Four times
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Concepts Used:
Acceleration
In the real world, everything is always in motion. Objects move at a variable or a constant speed. When someone steps on the accelerator or applies brakes on a car, the speed of the car increases or decreases and the direction of the car changes. In physics, these changes in velocity or directional magnitude of a moving object are represented by acceleration.
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