Statement-I: A body weighs less on a hill top than on earth’s surface even though its mass remains unchanged.
Statement-II: The acceleration due to gravity of the earth decreases with height.
Both the statements are individually true and Statement II is the correct explanation of Statement I
Both the statements are individually true but Statement II is not the correct explanation of Statement I
Statement I is true but Statement II is false
Statement I is false but Statement II is true
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC NDA-1 – 2015
Statement II is true because the acceleration due to gravity (g) decreases with increasing height above the Earth’s surface. The gravitational force, and hence ‘g’, depends on the distance from the center of the Earth. At a higher altitude like a hill top, this distance is greater than on the surface at sea level. The relationship is approximately g’ = g(R/(R+h))², where R is Earth’s radius and h is height. As h increases, g’ decreases.