# Physics Question

GIVEN: Light of wavelength 585 nm falls on a slit 6.66×10−2 mm wide.

Part A: On a very large distant screen, how many totally dark fringes (indicating complete cancellation) will there be, including both sides of the central bright spot?

Part B: At what angle will the dark fringe that is most distant from the central bright fringe occur?
*Answer: I'm asuming that this will be the equation to use: d*sinA=(N+.5)*L , but I need help finding N in part A to complete this.

1. 👍
2. 👎
3. 👁
1. A) How many integer values of N satisfy the "dark line" equation
d*sinA = N*L
with |sin A| < 1 ?

N = (d/L) sin A = 113.8 sin A

N can range from -113 to 113 while |sin A| remains below 1. That allows for 226 lines. That includes negative integer values of N.

A central bright fringe occurs at N = 0.

For N=113 (the farthest possible dark fringe from center),
sin A = (113) (L/d) = 0.99257
A = 83 degrees

1. 👍
2. 👎

## Similar Questions

1. ### Chemistry

An electron is excited from the n=1 ground state to the n=3 state in a hydrogen atom. Which of the following statements are true? Correct the false statements to make them true. A. It takes more energy to ionize (completely

2. ### physics

In a double-slit experiment, it is found that blue light of wavelength 460 nm gives a second-order maximum at a certain location on the screen. What wavelength of visible light would have a minimum at the same location?

3. ### Physics

When violet light of wavelength 415 nm falls on a single slit, it creates a central diffraction peak that is 8.80 cm wide on a screen that is 2.75 m away. How wide is the slit?

4. ### physics

How does the width of the central region of a single-slit diffraction pattern change as the wavelength of the light increases? Look at the formula on this.

1. ### Physics

Rank in order the following according to their speeds, from fastest (1) to slowest (5): (i) 425-nm-wavelength light through a pane of glass, (ii) 500-nm-wavelength light through air, (iii) 540-nm-wavelength light through water,

2. ### Physics

Okay last question I need help with Monochromatic light of 605 nm falls on a single slit, which is located 85 cm from a screen. The first dark band appears at 5.4 mm from the center. How wide is the slit? 0.001 mm 0.050 mm 0.095

3. ### Physics

Light from a sodium lamp ( wavelength= 589 nm) illuminates a narrow slit and is observed on a screen 75 cm behind the slit. The dstance between the first and third dark fringes is 7.5 mm. What is the width (in mm) of the slit?

4. ### physics

At most, how many bright fringes can be formed on either side of the central bright fringe when light of wavelength 656 nm falls on a double slit whose slit separation is 3.45 × 10-6 m?

1. ### Physics

A double-slit experiment uses coherent light of wavelength 633 nm with a slit separation of 0.100 mm and a screen placed 2.0 m away.
{"ft_lang_label":"__label__en","ft_lang_prob":0.89005184,"math_prob":0.9393179,"size":2742,"snap":"2021-21-2021-25","text_gpt3_token_len":706,"char_repetition_ratio":0.15230095,"word_repetition_ratio":0.028225806,"special_character_ratio":0.25820568,"punctuation_ratio":0.09498208,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.95484596,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-05-15T20:36:02Z\",\"WARC-Record-ID\":\"<urn:uuid:0525d3c8-e69d-4c7b-a2a2-e932484cae9d>\",\"Content-Length\":\"18875\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:406f0318-4af8-4125-bf91-4daadb4df0da>\",\"WARC-Concurrent-To\":\"<urn:uuid:63e54d67-ecc6-4511-b1b9-c5aa111c14c1>\",\"WARC-IP-Address\":\"66.228.55.50\",\"WARC-Target-URI\":\"https://www.jiskha.com/questions/93768/given-light-of-wavelength-585-nm-falls-on-a-slit-6-66-10-2-mm-wide-part-a-on-a-very\",\"WARC-Payload-Digest\":\"sha1:LFXYVJOVJF4CJ66NMXBY5Y4DXLGBPQRQ\",\"WARC-Block-Digest\":\"sha1:4BGQA3VSIO726HMONN4OEIWIO6X56S4D\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-21/CC-MAIN-2021-21_segments_1620243991378.52_warc_CC-MAIN-20210515192444-20210515222444-00107.warc.gz\"}"}