A is the answer to the question
Answer:
The range of angles is from 17.50° to 31.76°
Explanation:
The diffraction grid equation is as follows:
Clearing for 
where is the angle, 
is the order, in this case 
, 
is the wavelength, and 
is defined as follows:
and since the resolution is 750 lines/mm wich is the same as 
will be:
wich is the distance between each line of the diffraction grating.
substituting the values for and :
And we need to find two angle values: one for when the wavelength is 400nm and one for when it is 700 nm. So we will get the angle range
and
The range of angles is from 17.50° to 31.76°
Realtor does all of the above items
Answer:
acceleration
acceleration is the rate at which velocity change
i think
Answer:
d²x/dt² = - 4dx/dt - 4x is the required differential equation.
Explanation:
Since the spring force F = kx where k is the spring constant and x its extension = 2.45 equals the weight of the 4 kg mass,
F = mg
kx = mg
k = mg/x
= 4 kg × 9.8 m/s²/2.45 m
= 39.2 kgm/s²/2.45 m
= 16 N/m
Now the drag force f = 16v where v is the velocity of the mass.
We now write an equation of motion for the forces on the mass. So,
F + f = ma (since both the drag force and spring force are in the same direction)where a = the acceleration of the mass
-kx - 16v = 4a
-16x - 16v = 4a
16x + 16v = -4a
4x + 4v = -a where v = dx/dt and a = d²x/dt²
4x + 4dx/dt = -d²x/dt²
d²x/dt² = - 4dx/dt - 4x which is the required differential equation
