光學 CH12

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光學CH12練習題

Problem 1

What is the angular separation in second order between light of wavelengths 400 nm and 600 nm when diffracted by a grating of 5000 grooves/cm? (01小題)

\(\Delta \theta\)=_____
可嘗試次數(no. of submission)= 3

01

Problem 2

How many lines must be ruled on a transmission grating so that it is just capable of resolving the sodium doublet (589.592 nm and 588.995 nm) in the first- and second-order spectra? (02小題)

the first order spectra,the number of lines=_____
可嘗試次數(no. of submission)= 3

02

the second order spectra,the number of lines=_____
可嘗試次數(no. of submission)= 3

03

Problem 3

A transmission grating having 16,000 lines/in, is 2.5 in. wide. Operating in the green at about 550 nm, what is the resolving power in the third order? Calculate the minimum resolvable wavelength difference in the second order. (02小題)

the resolving power in the third order=______
可嘗試次數(no. of submission)= 3

04

the minimum resolvable wavelength difference in the second order=______\(\overset\circ A\)
可嘗試次數(no. of submission)= 3

05

Problem 4

A transmission grating is expected to provide an ultimate first-order resolution of at least 1 A anywhere in the visible spectrum (400 to 700 nm). The ruled width of the grating is to be 2 cm.

a. Determine the minimum number of grooves required.

b. If the diffraction pattern is focused by a 50-cm lens, what is the linear separation of a 1-A interval in the vicinity of 500 nm?

(a)the minimum number of grooves=______
可嘗試次數(no. of submission)= 3

06

(b)the distance=______mm
可嘗試次數(no. of submission)= 3

07

Problem 5

A plane reflection grating with 300 grooves/mm is blazed at \(10^0\).

a. At what wavelength in first order does the grating direct the maximum energy when used with the incident light normal to the groove faces?

b. What is the plate factor in first order when the grating is used in a Czerny–Turner mounting with mirrors of 3.4-m radius of curvature?

(a)the wavelength=______\(\mu m\)
可嘗試次數(no. of submission)= 3

08

(b)the plate factor=______\(nm/mm\)
可嘗試次數(no. of submission)= 3

09

Problem 6

A grating is needed that is able, working in first order, to resolve the red doublet produced by an electrical discharge in a mixture of hydrogen and deuterium: 1.8 A at 6563 A. The grating can be produced with a standard blaze at 6300 A for use in a Littrow mount. Find (a) the total number of grooves required; (b) the number of grooves per millimeter on the grating with a blaze angle of 22°12'; (c) the minimum width of the grating. (03小題)

(a)the total number of grooves=_____grooves
可嘗試次數(no. of submission)= 3

10

(b)the amswer=_____grooves/mm
可嘗試次數(no. of submission)= 3

11

(c)the minimum width of the grating=_____mm
可嘗試次數(no. of submission)= 3

12

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