Question

Statement I: A body weights less on a hill top than on the earth's surface even though its mass remains unchanged.

Statement II: The acceleration due to gravity of the earth decreases with height.

(a) Both the statements are true and Statement II is the correct explanation of Statement I.

(b) Both the statements are true but Statement II is not the correct explanation of Statement I.

(c) Statement I is true but Statement II is false.

(d) Statement I is false but Statement II is true.

Answer 1

(a) Both the statements are true and Statement II is the correct explanation of Statement I.

Weight = Mass x Acceleration due to gravity

i.e. W = mg

Since, the acceleration due to gravity g of the earth decreases with height, so a body weighs less on a hill top than surface of earth.