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The masses of two planets are in the ratio 1 : 2. Their radii are in the ratio 1 : 2. The acceleration due to gravity on the planets are in the ratio. (a) 1 : 2 (b) 2 : 1 (c) 3 : 5 (d) 5 : 3

The masses of two planets are in the ratio 1 : 2. Their radii are in the ratio 1 : 2. The acceleration due to gravity on the planets are in the ratio.
(a) 1 : 2
(b) 2 : 1
(c) 3 : 5
(d) 5 : 3

Grade:Upto college level

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
576-2435_fd.PNG
Vikas TU
14149 Points
one year ago
Acc to law of gravitation : mg1=GM1m/R1^2
g1= GM1 / R1^2
( considering that for the first planet variables are placed with 1 and for the second with 2 )
Similarly g2 = G M2/R2^2
As we know that M2 is twice of M1 and R2 is twice of R1
So g2= G2M1/(2R1)^2
g1/g2 = G M1/R1^2 X 4R1^2/G2M1
g1:g2 = 4:2 = 2:1
 

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