The masses of two planets are in the ratio 1: 2 and their radii are in the ratio 1: 2. The acceleration due to gravity on the planets is in the ratio

1: 2

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2: 1

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3: 5

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5: 3

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Solution

The correct option is B
2: 1

We know that, g = $\frac{G M}{R^{2}}$
So, $g_{1}$ = $\frac{G M_{1}}{{R_{1}}^{2}}$ and $g_{2}$ = $\frac{G M_{2}}{{R_{2}}^{2}}$ and it’s given that $M_{2}$ = 2 $M_{1}$ and $R_{2}$ = 2 $R_{1}$ ,
Substitute these in the expression:
Thus, $\frac{g_{1}}{g_{2}}$ = 2: 1

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The masses of two planets are in the ratio 1: 2 and their radii are in the ratio 1: 2. The acceleration due to gravity on the planets is in the ratio

The correct option is B 2: 1 We know that, g = GMR2​ So, g1 = GM1R12​ and g2​ = GM2R22​ and it’s given that M2​ = 2M1​ and R2​ = 2R1​, Substitute these in the expression: Thus, g1g2​ = 2: 1

The correct option is B
2: 1

We know that, g = $\frac{G M}{R^{2}}$
So, $g_{1}$ = $\frac{G M_{1}}{{R_{1}}^{2}}$ and $g_{2}$ = $\frac{G M_{2}}{{R_{2}}^{2}}$ and it’s given that $M_{2}$ = 2 $M_{1}$ and $R_{2}$ = 2 $R_{1}$ ,
Substitute these in the expression:
Thus, $\frac{g_{1}}{g_{2}}$ = 2: 1