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.

  • Option 1)

    1 : 2

  • Option 2)

    2 : 1

  • Option 3)

    3 : 5

  • Option 4)

    5 : 3

 

Answers (1)

As we learnt in 

Acceleration due to gravity (g) -

Force extended by earth on a body is gravity.

Formula:    g=\frac{GM}{R^{2}},

g=\frac{4}{3}\pi \rho \, GR

g\rightarrow gravity

\rho \rightarrow density of earth

R \rightarrow Radius of earth

 

- wherein

It's average value is 9.8\: m/s^{2}\; \; or \; \; 981cm/sec^{2}\; or\; 32feet/s^{2} on the surface of earth

 

 \frac{g_{1}}{g_{2}}=\sqrt{\frac{M_{1}}{M_{2}}.\frac{R_{2}^{2}}{R_{1}^{2}}}  =\sqrt{\frac{1}{2}.4}= \sqrt{2}


Option 1)

1 : 2

This is correct option

Option 2)

2 : 1

This is incorrect option

Option 3)

3 : 5

This is incorrect option

Option 4)

5 : 3

This is incorrect option

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