If the radius of earth shrinks by one percent and its mass remaining the same, then acceleration due to gravity on the earth’s surface will
The acceleration due to gravity on Earth’s surface is approximately 9.81 m/s². This value varies slightly depending on altitude and geographical location but is generally taken as a standard for calculations.
Class 11 Physics
Gravitation
CBSE EXAM 2024-25
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If the Earth’s radius shrinks by one percent while its mass remains unchanged, the acceleration due to gravity on the Earth’s surface will increase. This is because gravity depends on both mass and the distance from the center of the Earth. With a smaller radius, the distance between the Earth’s center and its surface decreases. As a result, the gravitational force experienced at the surface will be greater. This change means that objects would weigh slightly more than before, impacting everything from the movement of objects to the dynamics of Earth’s atmosphere and hydrosphere.
g = GM/R³
As the radius of the earth decreases, the of g increases.