In the graph shown, the `PE` of earth-satellite system is shown by a solid line as a function of distance `r` (the separation between earth's centre and satellite). The total energy of the two objects which may or may not be bounded to the earth are shown in the figure by dotted lines.

Based on the above information, answer the following questions.
If object having total energy `E_(1)` is having the same `PE` curve as shown in the figure, then

Options

A. `r_(0)` is the maximum distance of the object from the earth’s centre
B. this object and the earth system is bounded one
C. the `KE` of the object is zero when `r = r_(0)`
D. all the above

Answer

D

Explanation

Total energy `=KE+PE=` negative so the system is bounded.
At `r=r_(0),` total energy `=PE` and `KE =0`
For `rgtr_(0)`, total energy `=PE` and `KE =` negative, which is not possible so `r_(0)` is the maximum distance of the object from the earth's centre.