The gravitational field strength at the surface of planet is ‘g’. Which of the following is the gravitational field strength at the surface of a planet with twice the radius and twice the mass?

Question

The gravitational field strength at the surface of planet is ‘g’. Which of the following is the gravitational field strength at the surface of a planet with twice the radius and twice the mass? (A) g / 2 (B) g (C) 2g (D) 4g

Tardigrade Admin · Accepted Answer

g=(G M/R2) ; g=(G(2 M)/(2 R)2) =g / 2

Q. The gravitational field strength at the surface of planet is $‘ g ’.$ Which of the following is the gravitational field strength at the surface of a planet with twice the radius and twice the mass?

g / 2

g

2g

4g

$g = \frac{GM}{R ^{2}};$
$g = \frac{G ( 2 M )}{( 2 R ) ^{2}}$
$= g /2$

Q. The gravitational field strength at the surface of planet is ‘g’. Which of the following is the gravitational field strength at the surface of a planet with twice the radius and twice the mass?

g / 2

g

2g

4g

g=R2GM​; g=(2R)2G(2M)​ =g/2

Q. The gravitational field strength at the surface of planet is $‘ g ’.$ Which of the following is the gravitational field strength at the surface of a planet with twice the radius and twice the mass?

$g = \frac{GM}{R ^{2}};$
$g = \frac{G ( 2 M )}{( 2 R ) ^{2}}$
$= g /2$