Explanation Write the expression for the photon energy. E min = n h c λ Here, E min is the minimum energy, n is the number of photons, h is the Planck’s constant, c is the speed of light , and λ is the wave length. Rewrite the above expression in terms of n. n = E min λ h c (I) Conclusion: Substitute 10 − 18 J for E min , 550 nm for λ , 6.63 × 10 − 34 J ⋅ s for h , and 3.00 × 10 8 m / s for c in (I) to find n

Physics for Scientists and Engineers with Modern Physics

4th Edition

ISBN: 9780131495081

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Chapter 37, Problem 14P

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The number of photons lead to an observable flash.

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(3) A spectrometer used in a measurement of the Compton effect has a spectral resolution of Aλ/2 = 0.5%. Find the wavelength of the incident photons that would be required in order to resolve (a) Scattered photons at an angle of 38° (b) Scattered photons at an angle of 90° (c) Comparing parts (a) and (b), which measurement is easier, keeping in mind that it is harder to make higher energy photons? What factor can you think of that might make the measurement at 0= 90° harder than the measurement at 0= 38°?

(II) Show that the energy E (in electron volts) of a photon whose wavelength is A (nm) is given by 1.240 x 10° eV·nm E = λ (nm) Use at least 4 significant figures for values of h, c, e (see inside front cover).

A certain heat lamp emits 230 W of mostly IR radiation averaging 1,420 nm in wavelength. (a) What is the average photon energy in joules? J (b) How many of these photons are required to increase the temperature of a person's shoulder by 2.0°C, assuming the affected mass is 4.0 kg with a specific heat of 0.83 kcal/(kg · °C). Also assume no other significant heat transfer. (c) How long does this take (in s), assuming all radiation emitted by the heat lamp is absorbed by the person's shoulder? s †

Chapter 37 Solutions

Physics for Scientists and Engineers with Modern Physics

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Chapter 37 Solutions