Electricity and Magnetism Answers

The wavelength of the school demonstration laser is measured using a grating with 300 slits per millimeter. To this end, a magnet-mounted meter-long ruler is attached to the whiteboard and the laser light is directed perpendicular to the whiteboard. When the grating is placed between the laser and the board 0.79 meters from the board, a light pattern as shown in the figure is detected on the board. Determine the laser wavelength using 2nd order diffraction maxima.

we keep the switch at position x for a sufficient time and thereafter (at t0) connect it to Y, in the circuit shown below.

what amount of current will be measured through the resistor after 5.0 micro-second from t0, if V=9v, R=10 and C=1

a sphere with a radius of half a centimeter is having a 1KV potential, a proton which was (at the beginning) is suddenly let loose to go off. at what speed will the proton be travelling when it is 1cm away from the surface of the sphere?

The refractive index of silicon depends on the wavelength of light according to the figure below. The light beam from the mercury discharge tube hits the silicon prism perpendicularly.

Light includes, among other things, a purple component (wavelength 405 nm) and a red component (wavelength 690 nm). The folding angle φ of the prism is 34.0°. What is the angle between the purple and red rays in the light passing through the prism?

The core of the optical fiber is glass with a refractive index of 1.65. The fiber sheath is also glass, but its refractive index is 1.50.  At what angle x with respect to the central axis of the fiber must the laser beam strike the end of the fiber core in order for it to be totally reflected at the core-sheath interface? The cutting surface of the fiber end is perpendicular to the axis. 

An electric field is generated in between two parallel hundred-square centimeter electrodes that are separated by a distance of two centimeters. We have one plate charged to 5.0 nano-coulombs and the other one exactly equal but opposite. An additional 'square-shaped' surface (with side length of a centimeter) is placed in between the plates and rotated such that it makes an angel of pi over 4 radians with the electric field. Determine the flux of the electric field through the square surface.