Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e., F1/r3 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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A planet is revolving around the sun as shown in an elliptical path.

The correct option is:

(1)   The time taken in travelling DAB is less than that for BCD

(2)   The time taken in travelling DAB is greater than that for BCD

(3)   The time taken in travelling CDA is less than that for ABC

(4)   The time taken in travelling CDA is greater than that for ABC

Subtopic:  Kepler's Laws |
 79%
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In an elliptical orbit under gravitational force, in general

(1) Tangential velocity is constant

(2) Angular velocity is constant

(3) Radial velocity is constant

(4) Areal velocity is constant

Subtopic:  Kepler's Laws |
 73%
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Earth is revolving around the sun, if the distance of the Earth from the Sun is reduced to 1/4th of the present distance then the present year length reduced to -

(1)14                                        

(2)12  

(3)18                                        

(4)16  

Subtopic:  Kepler's Laws |
 86%
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Two satellite are revolving around the earth with velocities v1 and v2 and in radii r1 and r2r1>r2respectively. Then -

(1)v1=v2                                

(2)v1>v2  

(3)v1<v2                                

(4)v1r1=v2r2  

Subtopic:  Orbital velocity |
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If orbital velocity of planet is given by v=GaMbRc, then -

(1)a=1/3, b=1/3, c=1/3      

(2)a=1/2, b=1/2, c=1/2      

(3)a=1/2, b=1/2, c=1/2   

(4)a=1/2, b=1/2, c=1/2          

Subtopic:  Orbital velocity |
 89%
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The mass of a planet that has a moon whose time period and orbital radius are T and R respectively can be written as -

(1)4π2R3G1T2                                

(2)8π2R3G1T2  

(3)12π2R3G1T2                               

(4)16π2R3G1T2  

Subtopic:  Satellite |
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The eccentricity of earth's orbit is 0.0167. The ratio of its maximum speed in its orbit to its minimum speed is

(a)   2.507                                             (b)   1.033

(c)   8.324                                             (d)   1.000

Subtopic:  Kepler's Laws |
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Assuming the earth to have a constant density, point out which of the following curves show the variation of acceleration due to gravity from the centre of earth to the points far away from the surface of earth -

Subtopic:  Acceleration due to Gravity |
 84%
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The radius of orbit of a planet is two times that of the earth. The time period of the planet is:

(1)   4.2 years                          

(2)   2.8 years

(3)   5.6 years                          

(4)   8.4 years

Subtopic:  Kepler's Laws |
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