Optics Answers

In a Newton ring experiment the diameter of a eight dark ring is 0.72cm. If the the radius of curvature of plano-convex lense is 300cm. Calculate wave length of light

.Problem 1.1
A HeNe laser at a wavelength of 632.8 nm emits 1mW of light in a continuous beam
(known as ‘cw’ or continuous-wave lasing)
a) Calculate the stimulated emission rate in s-1
b) Estimate the population in m-3 of Ne atoms in the upper laser level, assuming
that the gain medium is 10 cm long, the single-pass gain is 3%, and the
stimulated emission cross-section of the 632.8-nm transition is ~10-17 m2
.

1.A bead slides on a smooth rod which is rotating about one end in a vertical plane with uniform angular velocity Omega .form the equation of motion ?
2.A cylinder of radius a and mass m rolls down an inclined plane making an angle teta with the horizontal .find the equation of motion?
3.A bead is sliding on a uniformily rotating rod in a force free space.find the equation of motion?
4.Derive the lagrange's equations of motion of a particle of mass m in a conservative force field in cylindrical co- ordinates?
5. Using Lagrange's method,show that angular momentum about a vertical axis through the point of support of a spherical pendulum is conserved?

Explain the propagation of life light through Optical Fibre

A plane transmission grating produces an angular separation of 0.01 radian between two spectral lines observed at an angle of diffraction 30°.If the mean wavelength is 5000 A° and spectrum is of second order, calculate the difference in wavelength?

for observing newton's ring b/w with two different o media b/w glass surface .nth ring have daimeter 11:9 claculate ration of refractive index of two medium

Evaluate the expectation value of r for the wave function (πa^3)^(-1/2)exp (-r/a)?

Derive an expression to show that the condition of population inversion is necessary for laser action

Show using Stokes law that when a beam of light suffers reflection at a denser surface its phase is changed by pi.

Sodium light is incident normally on a grating of width 4×10−3
m. The total number
of lines on the grating is 2000. Determine the angular separation between the sodium
D-lines in the first order spectrum.