Answer:
The wavelength is 754.2 nm.
Explanation:
Given that,
Diffraction pattern y= 1.35 mm
Width = 0.838 mm
Distance D= 75 cm
We need to calculate the wavelength
Using formula of diffraction pattern


Where, y = diffraction pattern
m = order
d = width
D = distance
Put the value into the formula



Hence, The wavelength is 754.2 nm.
The angle of refraction is 15.6 deg.
When a ray of light passes from medium 1 to medium 2, the refractive index of medium 2 with respect to 1 is the ratio of the absolute refractive index of medium 2 and medium 1

When light passes from air into diamond, with the given values of refractive indices,

According to Snell's law,

The angle of refraction is 15.6 deg
The rest energy of a particle is

where

is the rest mass of the particle and c is the speed of light.
The total energy of a relativistic particle is

where v is the speed of the particle.
We want the total energy of the particle to be twice its rest energy, so that

which means:


From which we find the ratio between the speed of the particle v and the speed of light c:

So, the particle should travel at 0.87c in order to have its total energy equal to twice its rest energy.
Answer:
The rougher a surface is, the more friction it can create.
Explanation:
The rougher a surface is, the more "holes" are on the edge which means things can get caught on in because multiple holes can catch each other.