Answer:
There are 5847.95 lines per cm for the grating.
Explanation:
Given that,
Wavelength of mercury line, ![\lambda=546.1\ nm=546.1\times 10^{-9}\ m](https://tex.z-dn.net/?f=%5Clambda%3D546.1%5C%20nm%3D546.1%5Ctimes%2010%5E%7B-9%7D%5C%20m)
Angle in the third order spectrum, ![\theta=73.2^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D73.2%5E%7B%5Ccirc%7D)
Using the grating equation, we get :
![d\ \sin\theta=m\lambda](https://tex.z-dn.net/?f=d%5C%20%5Csin%5Ctheta%3Dm%5Clambda)
Here, m = 3
![d=\dfrac{m\lambda}{\sin\theta}\\\\d=\dfrac{3\times 546.1\times 10^{-9}}{\sin(73.2)}\\\\d=1.71\times 10^{-6}\ m](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7Bm%5Clambda%7D%7B%5Csin%5Ctheta%7D%5C%5C%5C%5Cd%3D%5Cdfrac%7B3%5Ctimes%20546.1%5Ctimes%2010%5E%7B-9%7D%7D%7B%5Csin%2873.2%29%7D%5C%5C%5C%5Cd%3D1.71%5Ctimes%2010%5E%7B-6%7D%5C%20m)
Let there are N lines for the grating. So,
![N=\dfrac{1}{d}\\\\N=\dfrac{1}{1.71\times 10^{-6}\ m}\\\\N=\dfrac{1}{1.71\times 10^{-6}\times 10^2\ cm}\\\\N=\dfrac{1}{1.71\times 10^{-4}\ cm}\\\\N=5847.95\ \text{lines}/\text{cm}](https://tex.z-dn.net/?f=N%3D%5Cdfrac%7B1%7D%7Bd%7D%5C%5C%5C%5CN%3D%5Cdfrac%7B1%7D%7B1.71%5Ctimes%2010%5E%7B-6%7D%5C%20m%7D%5C%5C%5C%5CN%3D%5Cdfrac%7B1%7D%7B1.71%5Ctimes%2010%5E%7B-6%7D%5Ctimes%2010%5E2%5C%20cm%7D%5C%5C%5C%5CN%3D%5Cdfrac%7B1%7D%7B1.71%5Ctimes%2010%5E%7B-4%7D%5C%20cm%7D%5C%5C%5C%5CN%3D5847.95%5C%20%5Ctext%7Blines%7D%2F%5Ctext%7Bcm%7D)
So, there are 5847.95 lines per cm for the grating.
Answer:
(B) is a volume in space.
Explanation:
A system is the space chosen form the universe for the study and analysis.
There are 3 kinds of systems :
1) Open system:
This system can interact to surroundings in terms of both mass and energy transfer through its boundaries.
2) Closed system:
This type of system can only interact to the surrounding in terms of energy transfer through its boundary.
3) Isolated system:
This type of system cannot interact with the surrounding by any means and its energy remains constant with time under the observation.
It has insulated boundary.
The answer is c 5 starrrrrr
Rotation of the Earth contributes to the idea of the Sun setting and rising. The orbit of the Earth around the Sun results in the changing of seasons.
D.to bring light together