1. A 10.0 ohm resistor, a 3.00 - m H inductor, and a 6.00 - mu F capacitor are connected in series with a 12.0-Vrms AC power supply,

(a) What is the resonance frequency (in Hz) of the circuit ?

(b) If the frequency is set to 90% of the resonance frequency, what is the rms current of the circuit ?

(c) Does the voltage lead or lag the current, and by how much ? (Express the answer in degrees.)

2. A ray of light is incident on a tub of water, making an angle of 45.0 degree with the normal. The tub is 10.0 cm deep, and has a mirror at the bottom. What is the distance between the point where the incident ray enters the water and the point where the reflected ray leaves the water?

3. A mirror positioned 10.0 cm to the right of an object forms an image (also to the right of the object) with a magnification of + 1.50.

(a) Is the mirror concave or convex ?

(b) Where is the image located ?

(c) What is the focal length of the mirror ?

(d) Now suppose that the mirror is replaced by a lens, which is adjusted until an image of the same magnitude magnification as before is formed at the same location to the right of the object as before. Is it a converging or diverging lens ?

(e) Is it a real or virtual image ?

(f) How far away from the object is the lens located ?

(g) What is its focal length ?

4. A sheet of crown glass (n-1.52) that has a thickness of 525 nm sits on top of a pool of water. White light travels through the air and illuminates the sheet at normal incidence,

(a) What visible wavelengths are most strongly reflected ?

(b) What visible wavelength is least strongly reflected?

(c) What visible wavelength is most strongly transmitted through the water ?

(d) What visible wavelengths are least strongly transmitted through the water ?