Consider a source of light with wavelength lambda = 530 nm that shines on two identical narrow slits. The slits are separated by a distance a = 30 mu m. An interference pattern is observed on a screen located a distance L away from the slits. On the screen, the location of the second dark spot to the left of the central bright spot is found to be y = 1.2 cm from the central bright spot. Let this particular position on the screen be referred to as P_1. Light from both slits travels to the point P_1. How much further does the light from one slit travel compared to the light from the other slit? distance = 795 nm The path difference in part A is equal to a middot sin theta where the angle theta is the separation between the central bright spot and the second dark spot. What is this angle theta? theta = ___ degree Using the angle theta and the location y of the second dark spot on the screen, determine the distance L between the slits and the screen L = m

Check the explanation

Explanation:

A)

For destructive interference, path difference = n\lambda/2, n = 1, 3, 5 ...

Where n = 1 corresponds to first dark spot, n = 3 corresponds the second dark spot and so on

So here, n = 3

distance = 3\lambda/2

= 1.5 x 530 nm

= 795 nm.

B)

Path difference, a sin\theta = 795 nm = 0.795 \mum

sin\theta = [0.795 \mum] / [30 \mum] = 0.0265

\theta = sin-1(0.0265)

= 1.52 degrees.

C)

tan\theta = y/L

L = y/tan\theta

= 1.2 cm / tan(1.52)

= 45.27 cm

= 0.45 m

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach