Problem 17.18 - Enhanced - with Feedback Part A If white light illuminates a dif

Question

Problem 17.18 - Enhanced - with Feedback

Part A

If white light illuminates a diffraction grating having 910 lines/mm , over what range of angles does the visible m = 1 spectrum extend?

Express your answers using three significant figures separated by a comma.

    

Problem 17.42

(Figure 1) shows the light intensity on a screen 2.7 mbehind a double slit. The wavelength of the light is 560 nm .

Part A

What is the spacing between the slits?

Express your answer to two significant figures and include the appropriate units.

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Figure 1 of 1

Problem 17.43

A laser beam of wavelength 670 nm shines through a diffraction grating that has 750 lines/mm and observed on a screen 1.4 mbehind the grating.

Part A

How many bright fringes can be observed on a screen?

Express your answer as an integer.

3

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Correct

Part B

What is the distance between m = 0 and m = 1 bright fringes?

Express your answer to two significant figures and include the appropriate units.

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Problem 17.18 - Enhanced - with Feedback

The human eye can readily detect wavelengths from about 400 nm to 700 nm.

You may want to review (pages 544 - 547) .

Part A

If white light illuminates a diffraction grating having 910 lines/mm , over what range of angles does the visible m = 1 spectrum extend?

Express your answers using three significant figures separated by a comma.

min,max =

    

Problem 17.42

(Figure 1) shows the light intensity on a screen 2.7 mbehind a double slit. The wavelength of the light is 560 nm .

Part A

What is the spacing between the slits?

Express your answer to two significant figures and include the appropriate units.

d =

SubmitMy AnswersGive Up

Incorrect; Try Again; 4 attempts remaining

Provide FeedbackContinue

Figure 1 of 1

Problem 17.43

A laser beam of wavelength 670 nm shines through a diffraction grating that has 750 lines/mm and observed on a screen 1.4 mbehind the grating.

Part A

How many bright fringes can be observed on a screen?

Express your answer as an integer.

Number of bright fringes =

3

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Correct

Part B

What is the distance between m = 0 and m = 1 bright fringes?

Express your answer to two significant figures and include the appropriate units.

y1 =

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Explanation / Answer

Problem 17.18
Part (A)
Given
that number of lines is N = 910 lines /mm
= 910000 lines/ m

condition for diffraction maxima is
sin(thita) = m*lambda / d

here d = 1 / N

for lambda = 400 nm
sin(thita) = (910000)(400*10^-9)
Thita(min) =21.34 degree

for wave length 700nm
sin(thita) = (910000)*(700*10^-9)
Thita(max) = 39.568 degree

Problem 17.42
Part (A)
The wavelngth of the light is lambda = 560 nm = 560*10^-9 m

The distance of screen form slits is L = 2.7 m

form the figure central bright exists at 3 cm and second bright fringe starts at 3.6 cm

Condition for interference is
d*sin(thita) = m*lambda

for small angles sin(thita) = tan(thita) = y/L

Thus for order spectrom m= 1
d*(y/L) = (1)*lambda

Therefore the slits separation is
d = (lambda*L)/y
= (560*10^-9)*(2.7)/(0.6*10^-2)
= 0.000252 m
= 0.252 mm

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