Answer:
<em>The 6000 lines per cm grating, will produces the greater dispersion .</em>
Explanation:
A diffraction grating is an optical component with a periodic (usually one that has ridges or rulings on their surface rather than dark lines) structure that splits and diffracts light into several beams travelling in different directions.
The directions of the light beam produced from a diffraction grating depend on the spacing of the grating, and also on the wavelength of the light.
For a plane diffraction grating, the angular positions of principle maxima is given by
(a + b) sin ∅n = nλ
where
a+b is the distance between two consecutive slits
n is the order of principal maxima
λ is the wavelength of the light
From the equation, we can see that without sin ∅ exceeding 1, increasing the number of lines per cm will lead to a decrease between the spacing between consecutive slits.
In this case, light of the same wavelength is used. If λ and n is held constant, then we'll see that reducing the distance between two consecutive slits (a + b) will lead to an increase in the angle of dispersion sin ∅. So long as the limit of sin ∅ not greater that one is maintained.
Our values can be defined like this,
![m = 65kg](https://tex.z-dn.net/?f=m%20%3D%2065kg)
![v = 3.5m / s](https://tex.z-dn.net/?f=v%20%3D%203.5m%20%2F%20s)
![d = 0.55m](https://tex.z-dn.net/?f=d%20%3D%200.55m)
The problem can be solved for part A, through the Work Theorem that says the following,
![W = \Delta KE](https://tex.z-dn.net/?f=W%20%3D%20%5CDelta%20KE)
Where
KE = Kinetic energy,
Given things like that and replacing we have that the work is given by
W = Fd
and kinetic energy by
![\frac {1} {2} mv ^ 2](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%20%7B2%7D%20mv%20%5E%202)
So,
![Fd = \frac {1} {2} m ^ 2](https://tex.z-dn.net/?f=Fd%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20m%20%5E%202)
Clearing F,
![F = \frac {mv ^ 2} {2d}](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%20%7Bmv%20%5E%202%7D%20%7B2d%7D)
Replacing the values
![F = \frac {(65) (3.5)} {2 * 0.55}](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%20%7B%2865%29%20%283.5%29%7D%20%7B2%20%2A%200.55%7D)
![F = 723.9N](https://tex.z-dn.net/?f=F%20%3D%20723.9N)
B) The work done by the wall is zero since there was no displacement of the wall, that is d = 0.
Answer:
540C.
Explanation:
A capacitor of capacitance C when charged to a voltage of V will have a charge Q given as follows;
Q = CV ----------(i)
From the question, the initial charge on the capacitor is the charge on it before it was connected to the resistor. In other words, the initial charge on the capacitor will have a maximum value which can be calculated using equation (i) above.
Where;
C = 6F
V = 90V
Substitute these values into equation (i) as follows;
Q = 6 x 90
Q = 540 C
Therefore, the initial charge on the capacitor is 540C.
Answer:
you were sopposed to divide
Explanation:
Communication circuit <em>(D)</em> is becoming more common in residential electrical design and construction.
LAN Ethernet cables, outlets, and even hubs and bridges, are being built into the walls of new homes, along with the usual electrical outlet wiring, to give the owner the networking infrastructure and internet access that everybody needs now ... without stringing a mess of cables on the floor and through doors all over the house.