Question

If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would

(a) Decrease by 2% 

(b) Remain unchanged 

(c)Increase by 2% 

(d) Increase by 1%

Answer 1

Correct option (c)Increase by 2%

Explanation:

We know g ∝ 1/R² [As R decreases, g increases]

So % change in g = 2 (% change in R ) = 2 x 1% = 2%

∴ acceleration due to gravity increases by 2%.