A source containing a mixture of hydrogen and deuterium atoms emits light at two wavelengths whose mean is 641 nm and whose separation is 0.211 nm. Find the minimum number of lines needed in a diffraction grating that can resolve these lines in the first order.
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- Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Holine. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is kept at a constant temperature. (a) Find the minimum value of d that will produce maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.400. (Enter your answer to one decimal place.) nm (b) If the temperature of the filter increases above the normal value increasing its thickness, what happens to the transmitted wavelength? (Assume the index of refraction of the dielectric remains constant.) ---Select--- (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nmAstronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H, line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H, light if the dielectric has an index of refraction of 1.494. (Assume that the glass's refractive index exceeds 1.494.) nm (b) If the temperature of the filter increases above the normal value, increases its thickness, what happens to the transmitted wavelength? (Its index of refraction does not change significantly.) O It increases. O It decreases. O It remains unchanged. (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nm Additional Materials O eBookA thin film apparatus reflects normally incident light with indices of refraction of n =1.35, n, =1.50, and n, =1.35 for the incident light side material, the thin film material, 10. and the transmitted side material respectively. The reflected light from the n,,n, surface interferes with the light reflected by the n,,nțextrface. Find the third smallest thickness, L, for the thin film material that produces a maximum in the reflected light at an air wavelength of 2 = 540.0 nm .
- Angel is experimenting with a diffraction grating of unknown spacing. He is looking to determine the wavelength of the light in the emission spectrum of a gas and finds that a light having a known wavelength of 623.1nm is deflected by 43.8 ° away from the central maximum in the second order by this grating. Light of the wavelength to be measured is deflected by 45.4° away from the central maximum in the second order. What is the wavelength of this light in nanometers? Please give your answer as a whole number.A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.44 degrees, and the first light has wavelength λ1 = 618 nm. Part (a) Find θ1 using n and λ1 in radians. Part (b) Find θ2 in radians. Part (c) Find the value of the wavelength of the second color λ2 in nm.