Q10 of 81 Page 224

The time period of an earth-satellite in circular orbit is independent of

The time period of a satellite in a circular orbit is given by,


where, is the radius of the orbit of the satellite. G is the gravitational constant, is the mass of the earth. Hence, it depends on the radius while its independent of the mass of the satellite.

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8

Let V and E represent the gravitational potential and field at a distance r from the Centre of a uniform solid sphere. Consider the two statements:

(A)The plot of V against r is discontinuous


(B)The plot of E against r is discontinuous


 19

Take the effect of bulging of earth and its rotation in account. Consider the following statement:

(A)There are points outside the earth where the value of g is equal to its value at the equator.


(B)There are points outside the earth where the value of g is equal to its value at the poles.


 11

The magnitude of gravitational potential energy of the moon-earth system is U with zero potential energy at infinite separation. The kinetic energy of the moon with respect to the earth is K.

 12

Figure (11-Q2) shows the elliptical path of a planet about the sun. The two shaded parts have equal area. If t1 and t2 be the time taken by the planet to go from a to b and from c to d respectively.