(trig based physics) Please explain what is happening, I amtrying to LEARN how to do these problems as well!

Ignore air resistance and gravity in all questions.

1. When Hydrogen is heated on earth, it emits 4 colours ofvisible light of wavelengths 410 nm, 434 nm, 486 nm and 656 nm.When Hydrogen on a distant galaxy is observed, the 410 nm lightappears to have a wavelength of 409 nm.

1. a) Is the galaxy moving towards earth or away from it?Explain.

2. b) Find the relative velocity of the galaxy with respect to theobserver on earth. [Note: For this question, maintain a lot ofaccuracy by carrying a lot of digits in your calculations.]

3. c) Find the observed wavelengths of these other wavelengths oflight originating from that galaxy.

1. A convex mirror has a radius of curvature of 4 m. A boy standsin front of the mirror so that he appears 3 times shorter than hisactual height. If the image is upright, how far is he standing fromthe mirror? Explain if the image is real or virtual.

2. An object is placed 4 cm away from a concave lens of focallength 3 cm. A convex lens of focal length 5 cm is placed 4 cm awayfrom the concave lens in the same direction (so the distancebetween convex lens and the object is 8 cm). Use any method tofigure out if the final image is real/virtual, upright/inverted andfind its distance from the convex lens.

3. Draw proper ray diagrams for questions 2 and 3.