The figure shows the elliptical path of a planet about the sun. The two shaded parts have equal area. If \(t_1\) and \(t_2\) be the time taken by the planet to go from \(a\) to \(b\) and from \(c\) to \(d\) respectively, then:
1. | \(t_1<t_2\) |
2. | \(t_1=t_2\) |
3. | \(t_1>t_2\) |
4. | insufficient information between \(t_1\) and \(t_2\) |
Consider a planet moving in an elliptical orbit around the sun. The work done on the planet by the gravitational force of the sun:
a. | is zero in any small part of the orbit |
b. | is zero in some parts of the orbit |
c. | is zero in one complete revolution |
d. | is zero in no part of the motion |
Choose the correct option:
1. | (a) and (b) |
2. | (b) and (c) |
3. | (c) and (d) |
4. | all of these |
Which of the following quantities remain constant in a planetary motion (consider elliptical orbits) as seen from the sun?
1. speed
2. angular speed
3. kinetic energy
4. angular momentum