i) Find the angular separation between the red hydrogen-α spectral line at 656 nm and the...

i) Find the angular separation between the red hydrogen-α spectral line at 656 nm and the yellow sodium line at 589 nm if the two lines are observed in third order with a diffraction grating having 3 500 slits per cm. (Give the answer in degrees, correct to three significant figures.) [6]

(ii) Using the same diffraction grating as in (i) , what is the highest order that could possibly be observed using violet light of wavelength 420 nm?

Solutions

Expert Solution

a)Angular separtion can be find using below formula

Here can be find using below formula

b)heigst order can be find using below formula

The maximum value of should not exceed 1.For m=7, value is greater than 1.Hence Heighst order Observed is,m=6 since value is less than 1

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Show Work. A series of lines in the spectrum of atomic hydrogen lies at 656 nm,...

Show Work. A series of lines in the spectrum of atomic hydrogen lies at 656 nm, 486 nm, 434 nm, and 410 nm. What is the wavelength of the next line of the series? a) 200 nm b) 397 nm c) 410 nm d) 420 nm e) 710 nm

The hydrogen atom has an emission at 1875 nm. What transition is responsible for this spectral...

The hydrogen atom has an emission at 1875 nm. What transition is responsible for this spectral line? What region of the electromagnetic spectrum would it appear? (7 pts)

Absorpstion spectrum of hydrogen shows line in 404.7 nm ; 435.8 nm and 486.3 nm. Determine:...

Absorpstion spectrum of hydrogen shows line in 404.7 nm ; 435.8 nm and 486.3 nm. Determine: a. Transtition for each line above b. Ionization energy of Hydrogen [Question doesn't state about spectral series (Lyman, Balmer.....). I am confused about this part. How I determine n1?]

Atomic hydrogen exhibits a series of emission spectral lines that includes the following wavelengths: 1875 nm,...

Atomic hydrogen exhibits a series of emission spectral lines that includes the following wavelengths: 1875 nm, 1282 nm, and 1094 nm. (a) What is the name of the series of emission spectral lines? (b) What is the wavelength of the next line in the series?

In a hydrogen atom what is the wavelength in nm of the emission line corresponding to...

In a hydrogen atom what is the wavelength in nm of the emission line corresponding to the transition from n=4 to 3

1: Under high resolution, the spectral line of Sodium (Z = 11) around 589 nm resolves...

1: Under high resolution, the spectral line of Sodium (Z = 11) around 589 nm resolves into two lines at 589.5 nm and 588.9 nm due to spin-orbital coupling splitting the 1p shell into 2P3/2 and 2P1/2. Part A: Calculate the difference in energy between the 2P3/2 and 2P1/2 states. Part B: From this energy difference, estimate the magnitude of the internal magnetic field. Part C: If a magnetic field of 1 Tesla is applied to the Sodium atoms, the...

1. what is the angular separation (between a grating and screen) of the second order maximums...

1. what is the angular separation (between a grating and screen) of the second order maximums produced by 420nm and 300 nm wavelengths incident upon a 450 lines/mm diffraction grating 2. Boron nitride (a lubricant) with an index of refraction of 2.0 is heated within a microwave oven. If the speed of the microwaves is 3.0X108m/s, what is the speed of the microwaves in the boron nitride

what is the angular separation between a star at Right Ascension 6hr and Declination 60 degrees...

what is the angular separation between a star at Right Ascension 6hr and Declination 60 degrees and another star at Right Ascension 0hr and Declination 60 degrees? and also please explain what is angular separation?

Emission lines from the hydrogen Hβ line (rest wavelength of 486.1 nm) are observed in the...

Emission lines from the hydrogen Hβ line (rest wavelength of 486.1 nm) are observed in the spectrum of a spiral galaxy at redshift z = 0.9. The galaxy's disk is observed to be inclined at an angle of 45 degrees to the line of sight. The central wavelength of the line is observed to be shifted by 0.5 nm to the red on one side of the galaxy, and by 0.5 nm to the blue on the other side of...

The separation between neighboring Na+ and Cl- ions in crystal of NaCl is 0.281 nm, whilst...

The separation between neighboring Na+ and Cl- ions in crystal of NaCl is 0.281 nm, whilst the separation between neighboring Na ions in metallic sodium is 0.372 nm. Given that the ionic radius of Cl- is 0.181 nm, determine the radius of the Na+ ions in each case. Explain why the values are different.

Subjects