If both the mass and the radius of the earth decrease by 1 %, the value of the acceleration due to gravity will :-

Question

If both the mass and the radius of the earth decrease by 1 %, the value of the acceleration due to gravity will :- (A) decrease by 1 % (B) increase by 1 % (C) increase by 2 % (D) remain unchanged

Tardigrade Admin · Accepted Answer

100 × (Δ g / g )=(Δ m / m ) × 100-2 (Δ Re / Re ) × 100 -1+-2 ×-1 -1+2 =1 % increase by 1 %

Q. If both the mass and the radius of the earth decrease by $1%$ , the value of the acceleration due to gravity will :-

decrease by $1%$

increase by $1%$

increase by $2%$

remain unchanged

$100 \times \frac{Δ g}{g} = \frac{Δ m}{m} \times 100 - 2 \frac{Δ R e}{R e} \times 100$
$- 1 + - 2 \times - 1$
$- 1 + 2$
$= 1%$
increase by $1%$

Q. If both the mass and the radius of the earth decrease by 1%, the value of the acceleration due to gravity will :-

decrease by 1%

increase by 1%

increase by 2%