Answer:


Explanation:
From the question we are told that
The number of slits per cm is k = 
The order of the maxima is n = 1
The wavelength are 
The spacing between the slit is mathematically represented as

=> 
=> 
Generally the condition for constructive interference is

At 
![\theta _1 = sin^{-1} [ \frac{1 * 434 *10^{-9}}{6.211 *10^{-5}} ]](https://tex.z-dn.net/?f=%5Ctheta%20_1%20%20%3D%20%20sin%5E%7B-1%7D%20%5B%20%5Cfrac%7B1%20%20%2A%20%20434%20%2A10%5E%7B-9%7D%7D%7B6.211%20%2A10%5E%7B-5%7D%7D%20%5D)

At 
![\theta _2 = sin^{-1} [ \frac{1 * 410 *10^{-9}}{6.211 *10^{-5}} ]](https://tex.z-dn.net/?f=%5Ctheta%20_2%20%20%3D%20%20sin%5E%7B-1%7D%20%5B%20%5Cfrac%7B1%20%20%2A%20%20410%20%2A10%5E%7B-9%7D%7D%7B6.211%20%2A10%5E%7B-5%7D%7D%20%5D)

Answer:
A) receding from the earth
B) 
Explanation:
- A) receding from the earth
The wavelength went from 434.1nm to 438.6nm, there was an increase in wavelength (also knowecn as redshift due to the doppler efft), this increase is due to the fact that the source that emits the radiation (the distant galaxy) is moving away and therefore the light waves it emits are "stretched", causing us to see a wavelength greater than the original.
- B)

to calculate the relative speed we use the following formula:

where
is the speed of light:
is the wavelength emited by the source, and
is the wavelength measured on earth.
we substitute all the values and do the calculations:

the relative speed is: 
C. change length and direction
Explanation:
The density of the material in which the light wave is travelling affects the speed of the wave. Different materials have different densities and they effect differently light waves which travel through them. Light waves may change direction at the boundary between two transparent materials, depending on material density. Density also impacts the speed of light. The denser the material, the slower light travels through it. The wavelength also decreases as light travels through the denser medium.