When monochromatic light shines perpendicularly on a soap film (n = 1.33) with air on each side, the second smallest nonzero film thickness for which destructive interference of reflected light is observed is 443 nm. what is the vacuum wavelength of the light in nm?

To develop this problem it is necessary to apply the concepts related to destructive interaction.

By definition we know that it is given as

Where,

l = Distance between slits

m = Any integer representing the number of repetition of spectrum

There is a change in phase at the upper side of the film which causes the phase shift since the index of refraction of the soap film is greater than that of air.

The extra traveled distance is twice the film thickness since the light shines perpendicularly and the wave travels back and fourth through the film, so

(second smalles nonzero thickness) we have that

The index of refraction of soap is given so the relationship is

Substituting the previos equation

Re, arrange to find \lambda_{vacuum}

Therefore the vacuum wavelength of the light is 575.89nm

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

unlike poles attract