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Introduction to Gravitation : Kepler's Laws

A planet is r...

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A planet is revolving round the sun in an elliptical orbit, if v is the velocity of the planet when its position vector from the sun is r, then areal velocity of the planet is a) I v x r I b) 2 I r x v I c) I 1/2(r x v) I d) None of these

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Q. A planet is revolving in an elliptical orbit around the sun. Its closest distance from the sun is

r

and the farthest distance is

R

. If the velocity of the planet nearest to the sun be

v

and that farthest away from the sun be

V

v / V

Q. A planet is revolving around the Sun in an elliptical orbit. Its closest distance from the Sun is

r

and farthest distance is

R

. If the orbital velocity of the planet closest to the Sun is

v

, then what is the velocity at the farthest point?

Q. A planet revolves around the sun in an elliptical orbit. If

v_{p}

v_{a}

are the velocities of the planet at the perigee and apogee respectively, then the eccentricity of elliptical orbit is given by :

Q. A planet revolving in an elliptical orbit has :

A) .

a constant velocity of revolution.

B) .

the least velocity when it is nearest to the sun.

C) .

its areal velocity directly proportional to its velocity.

D) .

its areal velocity inversely proportional to its velocity.

E) .

a trajectory such that the areal velocity is constant.

Choose the correct statement from the options given below :

Q. A planet is revolving in an elliptical orbit around the sun as shown in figure.The areal velocity (area swapped by the radius vector with respect to sun in unit time) is :

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