Optics Answers

In Newton's ring experiment the diameter of 16 ^ (th) bright ring changes from 1.8 cm to 1.5cm when a liquid is introduced the plate and the lens. Find the refractive index of the liquid and the diameter of the 5 ^ (th) dark ring.

A man stands 50cm from a concave mirror with radius of curvature 10cm. Find t position of the image and the magnification

An object 1.00 cm high is placed 18.0cm from a converging lens forms a real image 2.00cm high. Calculate the focal length of the lens

A tarantula of height h sits cautiously before a spherical mirror whose focal length has

absolute value | f | = 40 cm. The image of the tarantula produced by the mirror has the

same orientation as the tarantula and has height hꞌ= 0.20h.

(a) State with reasons, the image location and determine whether it is real or not.

(b) Determine the focal length f (sign included) of the mirror and hence deduce whether it

is a concave or convex mirror. [3,3]

(a) Show that the normal modes of the linear polarizer are linearly polarized waves

(b) Show that the normal modes of the wave retarder are linearly polarized waves

(c) Show that the normal modes of the polarization rotator are right and left circularly polarized waves

What are the eigenvalues of the systems described above?

An electromagnetic wave in free space has an electric-eld vector E = f(t - z/c0).x, where ^x is a unit

vector in the x direction, and f(t) = e^-t^2=2

e^j2pv0t, where y is a constant. Describe the physical nature

of this wave and determine an expression for the magnetic-eld vector.

a) Consider a silicon p-n junction at T = 300 K with doping concentrations of NA = 10^16 cm-3 . Given that the built-in voltage Vbi = 0.7 V, determine the doping concentration of the n-side of the junction

Describe image formation by a flat refracting surface and state the image location

Consider a silicon p-n junction at T = 300 K with doping concentrations of NA = 10^16 cm-3 . Given that the built-in voltage Vbi = 0.7 V, determine the doping concentration of the n-side of the junction. 

b) Derive an expression for the width of the depletion region in terms of Vbi and the maximum electric field |𝐸𝑚| at x = 0

c) Derive an expression for xp in terms of Vbi. Hence, find a numerical value for |𝐸𝑚| and the width of the depletion region

The speed of light in salt (sodium chloride) is 1.96 x10 8m/s . Calculate the index of refraction for sodium chloride.