1.

If both the mass and radius  of the earth decrease by 1%, then the value of the accelaration  due to gravity  willA ) decrease  by 1%B) increase by 1%C) increase by 2%D ) remains unchanged

Answer»

B) increase by 1% is correct.

Explanation: The acceleration due to gravity is given by

g = GM/R2

If both M and R decrease by 1% then their values will become 0.99 M and 0.99 R respectively and the acceleration due to gravity will become

g' = Gx0.99M/(0.99R)2 = 1.01GM/R2

= 1.01g

i.e the value of g will increase by 1%.



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