resolving power of a plane transmission grating depends upon
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14.13 Resolving Power of a Plane Transmission Grating
14.13 Resolving power of a plane transmission grating The capacity of an optical instrument to show separate images of very closely placed two objects is called resolving power. The resolving … - Selection from Engineering Physics [Book]
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14.13 Resolving power of a plane transmission grating
The capacity of an optical instrument to show separate images of very closely placed two objects is called resolving power. The resolving power of a diffraction grating is defined as its ability to form separate diffraction maxima of two closely separated wave lengths.
The expression for resolving power of a grating can be obtained with the aid of Fig. 14.20.
Figure 14.20 Calculation of resolving power of a plane transmission granting
In Fig. 14.20, xy represents a plane transmission grating having (e + b) as grating element and N lines per unit width of grating. A light beam having two ...
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Diffraction Questions and Answers
This set of Engineering Physics Multiple Choice Questions & Answers (MCQs) focuses on “Resolving Power of Grating”. 1. Which of the following is the correct expression for the resolving power of a grating? a) (nN + 1)/λ b) nN/λ c) nN/λ + 1 d) nN 2. What is the SI unit of the Resolving power ... Read more
Engineering Physics Questions and Answers – Resolving Power of Grating
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This set of Engineering Physics Multiple Choice Questions & Answers (MCQs) focuses on “Resolving Power of Grating”.
1. Which of the following is the correct expression for the resolving power of a grating?
a) (nN + 1)/λ b) nN/λ c) nN/λ + 1 d) nN View Answer
2. What is the SI unit of the Resolving power of a plane transmission grating?
a) m-1 b) cm-1 c) s-1 d) No SI unit View Answer
3. The resolving power of a grating is inversely proportional to the wavelength of the incident light.
a) True b) False View Answer
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4. Our eyes see two objects as separate, only if the angle subtended by them at the eye is greater than _________
a) 30 seconds b) 1 minute c) 2 minute d) 10 seconds View Answer
5. The resolving power of a grating is directly proportional to grating constant.
a) True b) False View Answer
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6. If a light is incident on a grating with 5000 lines/cm, then the angular separation of the two lines (5000 Å and 5006 Å) in first order spectrum is ______
a) 0.01° b) 0.02° c) 0.03° d) 0.04° View Answer
7. Light is incident normally on a grating of width 5 X 10-3 m with 2500 lines. What is the resolving power of the grating in the second order spectrum?
a) 2500 b) 5000 c) 1250 d) 500 View Answer advertisement
8. What is the minimum number of lines per cm in a 2.5 cm wide grating spectrum which will just resolve two sodium lines (5890 Å and 5896 Å) in the first order spectrum?
a) 98 b) 196 c) 392 d) 694 View Answer
9. The following pattern was observed by a plane diffraction grating. How are the two images resolved?
a) Not resolved b) Just Resolved
c) Partially resolved
d) Well resolved View Answer advertisement
10. A grating has 16000 per inch over a length of 5 inches. What will be the smallest wavelength difference for a light of wavelength 6000 Å?
a) 0.01 Å b) 0.02 Å c) 0.03 Å d) 0.04 Å View Answer
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[Solved] The resolving power of a plane transmission diffraction grat
Concept: PLANE DIFFRACTION GRATING: A diffraction grating is an extremely useful device, and one of it consists of a large number of narrow slits sid
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The resolving power of a plane transmission diffraction grating will increase on increasing:
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the grating element only
the order of the spectrum only
the total number of rulings on the grating only
both order of the spectrum and total number of rulings on the grating
Answer (Detailed Solution Below)
Option 4 : both order of the spectrum and total number of rulings on the grating
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Concept:
PLANE DIFFRACTION GRATING:
A diffraction grating is an extremely useful device, and one of it consists of a large number of narrow slits side by side.
The slits are separated by opaque spaces.
When a wavefront is an incident on a grating surface, light is transmitted through the slits and obstructed by the opaque portions. Such a grating is called a transmission grating.
Resolving Power:The capacity of an optical instrument to show separate images of very closely placed two objects is called resolving power.
The resolving power of a diffraction grating is defined as its ability to form separate diffraction maxima of two closely separated wavelengths.
If λ and λ + dλ are wavelengths of two neighboring spectral lines, the resolving power of the grating is the ratio λ/dλ.
The resolving power of the grating is given by
λdλ=nN
Where n - order of spectrum, N - total no. of lines in the given grating.
Explanation:From the above equation, it is clear that the resolving power of the grating is directly proportional to the order of the spectrum and the total number of rulings on the grating.
∴ The resolving power of a plane transmission diffraction grating will increase on increasing both order of the spectrum and the total number of rulings on the grating.
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