A planet revolves around the sun whose mean distance is 1.588 times the mean distance between earth and the sun. The revolution time of the planet will be:

(1) 1.25 years                               

(2) 1.59 years

(3) 0.89 years                               

(4) 2 years

Subtopic:  Kepler's Laws |
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The earth E moves in an elliptical orbit with the sun S at one of the foci as shown in figure. Its speed of motion will be maximum at the point

(1) C

(2) A

(3) B

(4) D

Subtopic:  Kepler's Laws |
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The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun ?

(1) 2                                         

(2) 3                                      

(3) 4                                        

(4) 5

Subtopic:  Kepler's Laws |
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If the radius of earth's orbit is made 1/4 th, the duration of an year will become -

(1) 8 times                                     

(2) 4 times

(3) 1/8 times                                   

(4) 1/4 times

Subtopic:  Kepler's Laws |
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If the mass of a satellite is doubled and the time period remain constant, the ratio of orbit in the two cases will be

(1)   1 : 2                                   

(2)   1 : 1

(3)   1 : 3                                   

(4)   None of these

Subtopic:  Orbital velocity |
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The maximum and minimum distances of a comet from the sun are 8×1012 m and 1.6×1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity in m/s when it is farthest -

(1) 12                                      

(2) 60

(3) 112                                     

(4) 6

Subtopic:  Kepler's Laws |
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A body revolved around the sun 27 times faster than the earth. What is the ratio of their radii?

(1)   1/3                                    

(2)   1/9

(3)   1/27                                  

(4)   1/4

Subtopic:  Kepler's Laws |
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The period of the moon’s rotation around the earth is nearly 29 days. If the moon’s mass were 2 fold, its present value and all other things remained unchanged, the period of the moon’s rotation would be nearly:

(1)292 days                                       

(2)29/2 days

(3)29×2 days                                       

(4)29 days

Subtopic:  Satellite |
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If two planets are at mean distances \(d_1\) and \(d_2\) from the sun and their frequencies are \(n_1\) and \(n_2\) respectively, then:
1. \(n^2_1d^2_1= n_2d^2_2\)
2. \(n^2_2d^3_2= n^2_1d^3_1\)
3. \(n_1d^2_1= n_2d^2_2\)
4. \(n^2_1d_1= n^2_2d_2\)

Subtopic:  Kepler's Laws |
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Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e.\(,F\propto \frac{1}{r^3}\) but the force still remains a central force, then:
1. Kepler's law of areas still holds.
2. Kepler's law of period still holds.
3. Kepler's law of areas and period still hold.
4. Neither the law of areas nor the law of period still hold.

Subtopic:  Kepler's Laws |
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