In an elliptical orbit under gravitational force, in general

(a) Tangential velocity is constant

(b) Angular velocity is constant

(c) Radial velocity is constant

(d) Areal velocity is constant

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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 -

(a)14                                         (b)12  

(c)18                                         (d)16  

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Two satellite are revolving around the earth with velocities v1 and v2 and in radii r1 and r2r1>r2respectively. Then -

(a)v1=v2                                 (b)v1>v2  

(c)v1<v2                                 (d)v1r1=v2r2  

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

(a)a=1/3, b=1/3, c=1/3      

(b)a=1/2, b=1/2, c=1/2      

(c)a=1/2, b=1/2, c=1/2   

(d)a=1/2, b=1/2, c=1/2          

Concept Questions :-

Orbital velocity
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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 -

(a)4π2R3G1T2                                 (b)8π2R3G1T2  

(c)12π2R3G1T2                               (d)16π2R3G1T2  

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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

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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 -

Concept Questions :-

Acceleration due to gravity
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The radius of orbit of a planet is two times that of the earth. The time period of planet is -

(a)   4.2 years                           (b)   2.8 years

(c)   5.6 years                           (d)   8.4 years

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 The diagram showing the variation of gravitational potential of earth with distance r from the centre of earth is -

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Gravitational Potential
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The orbital angular momentum of a satellite revolving at a distance r from the centre is L. If the distance is increased to 16r, then the new angular momentum will be -

(a)   16 L                                   (b)   64 L

(c)    L4                                     (d)   4 L

Concept Questions :-

Orbital velocity
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