Question1

The company of an unseen planet orbiting a distant start can be inferred from motion of the star as we see it. As the star and planet orbit the center of mass of the star-planet system, the star moves toward and away from us with what is known as the line of sight velocity, a motion that can be detected. Graph of the line of sight velocity versus time for the star 14 Herculis. The star's mass is believed to be 0.90 of mass of our sun. Assume that only one planet orbits the star and that our view is along the plane of the orbit. Then approximate-

(a) planet's mass in terms of Jupiter's mass mj and

(b) planet's orbital radius in terms of Earth's orbital radius rE.

Question2

A assured type of laser emits light that has a frequency of 7.3 × 1014 Hz. The light, however, occurs as a series of short pulses, each lasting for a time of 4.0 × 10-11 s.

(a) How numerous wavelengths are there in one pulse?

(b) The light enters a pool of water. The frequency of light remains the similar, but the speed of the light slows down to 2.3 x 108 m/s. How several wavelengths are there now in one pulse?