Optics: Diffraction Grating and Resolution

Play an AI-generated podcast conversation about this lesson

What is the relation between the grating equation and the wavelengths?

n λ = d(tan Θ + tan Φ)

n λ = d(sin Θ + sin Φ) (correct)

n λ = d(cos Θ + cos Φ)

n λ = d(cot Θ + cot Φ)

What is the effect of decreasing the monochromator exit slit width?

Increases the bandwidth of radiation and energy reaching the detector

Decreases the bandwidth of radiation and energy reaching the detector (correct)

Has no effect on the bandwidth of radiation and energy reaching the detector

Increases the signal-to-noise ratio

What is the condition for two adjacent light rays to reinforce each other?

They have different intensities

They have different wavelengths

They are out of phase

They are in phase (correct)

What is the effect of increasing the number of grooves in a grating on its resolution?

Increases the resolution Signup and view all the answers

What is the relation between dispersion and resolution?

Dispersion and resolution increase simultaneously Signup and view all the answers

What is the approximate height of the valley between two peaks when they are barely resolved?

Three-fourth of the height of the peaks Signup and view all the answers

What is the purpose of a monochromator in spectroscopy?

To select a narrow band of wavelengths to pass onto the sample Signup and view all the answers

What is the bending of light rays called when passing through a grating?

Diffraction Signup and view all the answers

What is the equation that relates the path length difference to the wavelength of light in a grating?

a-b = n λ Signup and view all the answers

What is the purpose of coating a grating with alumina and silica?

To protect the metal surface from oxidation Signup and view all the answers

What is the property of laser light that makes it coherent?

Phase synchronization Signup and view all the answers

What is the term for the minimum wavelength difference that can be resolved by a spectrometer?

Instrumental resolution Signup and view all the answers

What occurs when a light ray travels from air into water at a 45° angle?

The light ray is refracted at an angle of 32° Signup and view all the answers

What is an advantage of using optical fibers in communication?

They are immune to electric noise Signup and view all the answers

What happens when the angle of incidence is greater than the critical angle in an optical fiber?

Total internal reflection occurs Signup and view all the answers

What is the purpose of using optical fibers in process monitoring?

To transmit optical signals from a chemical reactor to a spectrophotometer Signup and view all the answers

What is the equation that relates the refractive indices of two media and the angles of incidence and refraction?

n1 sin(θ1) = n2 sin(θ2) Signup and view all the answers

What is the condition for total internal reflection to occur in an optical fiber?

(n1 / n2) sin(θi) > 1 Signup and view all the answers