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Chapter 25: Problem 10
What is the wavelength of a photon whose energy is twice that of a photon with a 600 nm wavelength?
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a. Calculate the wavelengths of the first four members of the Lyman series in the spectrum of hydrogen. b. What is the series limit for the Lyman series? c. Light from a hydrogen discharge lamp passes through a diffraction grating and registers on a detector 1.5 m behind the grating. The first-order diffraction of the first member of the Lyman series is located \(37.6 \mathrm{cm}\) from the central maximum. What is the position of the second member of the Lyman series?
X rays with a wavelength of 0.20 nm undergo first-order diffraction from a crystal at a \(54^{\circ}\) angle of incidence. At what angle does first-order diffraction occur for x rays with a wavelength of \(0.15 \mathrm{nm} ?\)
X-ray photons with energies of \(1.50 \times 10^{-15} \mathrm{J}\) are incident on a crystal. The spacing between the atomic planes in the crystal is \(0.21 \mathrm{nm} .\) At what angles of incidence will the \(\mathrm{x}\) rays diffract from the crystal?
Example 25.2 found that a typical incandescent light bulb emits \(\approx 3 \times 10^{18}\) visible-light photons per second. Your eye, when it is fully dark adapted, can barely see the light from an incandescent lightbulb \(10 \mathrm{km}\) away. How many photons per second are incident at the image point on your retina? The diameter of a dark-adapted pupil is \(\approx 7 \mathrm{mm}\)
Show that the series limit of the Balmer series is \(364.7 \mathrm{nm}\).
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