Question

Three discrete spectral lines occur at angles of 10.0°, 13.6°, and 15.0°, respectively, in the first-order...

Three discrete spectral lines occur at angles of 10.0°, 13.6°, and 15.0°, respectively, in the first-order spectrum of a diffraction grating spectrometer.

(a) If the grating has 3750 slits/cm, what are the wavelengths of the light?

λ1 =  nm (10.0°)
λ2 =  nm (13.6°)
λ3 =  nm (15.0°)


(b) At what angles are these lines found in the second-order spectra?

θ =  ° (λ1)
θ =  ° (λ2)
θ =  ° (λ3)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Three discrete spectral lines occur at angles of 11.0°, 13.9°, and 14.9° in the first-order spectrum...
Three discrete spectral lines occur at angles of 11.0°, 13.9°, and 14.9° in the first-order spectrum of a grating spectrometer. (Assume that the light is incident normally on the gratings.) (a) If the grating has 3 670 slits/cm, what are the wavelengths of the light? (Enter your answers from smallest to largest.) nm   nm   nm (b) At what angles are these lines found in the second-order spectrum? (Enter your answers from smallest to largest.) ° ° °
Light from a hydrogen source is incident on a diffraction grating. The incident light contains four...
Light from a hydrogen source is incident on a diffraction grating. The incident light contains four wavelengths: λl = 410.1 nm, λ2 = 434.0 nm, λ3 = 486.1 nm, and λ4 = 656.3 nm. The diffraction grating has 410 lines/mm. Calculate the angles between: λl and λ4 in the first-order spectrum λl and λ3 in the third-order spectrum
(a) Use Rydberg formula to calculate the wavelengths of the four visible lines in the Balmer...
(a) Use Rydberg formula to calculate the wavelengths of the four visible lines in the Balmer series of light emitted by a hydrogen gas-discharge lamp. A diffraction grating of width 1 cm has 2500 slits. It is used to measure the wavelengths of the visible spectrum of hydrogen. (b) Determine the first-order diffraction angles of the four observed lines. (c) What is the angular width of each one of them?
(a) Use Rydberg formula to calculate the wavelengths of the four visible lines in the Balmer...
(a) Use Rydberg formula to calculate the wavelengths of the four visible lines in the Balmer series of light emitted by a hydrogen gas-discharge lamp. A diffraction grating of width 1 cm has 2000 slits. It is used to measure the wavelengths of the visible spectrum of hydrogen. (b) Determine the first-order diffraction angles of the four observed lines. (c) What is the angular width of each one of them?
A chemist identifies compounds by identifying bright lines in their spectra. She does so by heating...
A chemist identifies compounds by identifying bright lines in their spectra. She does so by heating the compounds until they glow, sending the light through a diffraction grating, and measuring the positions of first-order spectral lines on a detector 15.0 cm behind the grating. Unfortunately, she has lost the card that gives the specifications of the grating. Fortunately, she has a known compound that she can use to calibrate the grating. She heats the known compound, which emits light at...
An astronomer is calibrating a spectrometer that uses a diffraction grating to separate light in order...
An astronomer is calibrating a spectrometer that uses a diffraction grating to separate light in order of increasing wavelength (λA, λB, and λC). She observes three distinct first-order spectral lines at the following respective angles θm (where m denotes order). θ1 = 12.8°, θ1 = 13.9°, θ1 = 15.2° (a) If the grating has 3,680 grooves per centimeter, what wavelength (in nm) describes each of these spectral lines? at θ1 = 12.8° λA = nmat θ1 = 13.9° λB =...
11.A source produces first-order lines when incident normally on a 9200 slits/cm diffraction grating at angles...
11.A source produces first-order lines when incident normally on a 9200 slits/cm diffraction grating at angles θ1 = 28.8∘, θ2 = 36.7∘, θ3 = 38.6∘, and θ4 = 41.2∘. Part A What are the wavelengths? Express your answers using three significant figures separated by commas. 13. At what angle should the axes of two Polaroids be placed so as to reduce the intensity of the incident unpolarized light to 1/4 Express your answer using two significant figures.
1. A diffraction grating is used to separate the spectral lines of light, emanating from a...
1. A diffraction grating is used to separate the spectral lines of light, emanating from a gas discharge tube (e.g., a neon light), that is normally incident on the grating. On a screen placed 2.0 m from the grating, the third-order (m = 3) interference maximum for violet light (λ = 4.4 × 10−7 m) is found to be 0.20 cm farther from the location of the central maximum (m = 0) on the screen than the second-order maximum of...