Question

Question 3: Properties of light (30 points) The energy of one photon of the microwaves in home microwave ovens is 2.45 x 10-23 J. (c=av, E = hv, h = 6.626 x 10-34 J·s, c = 3.00 x 108 m/s) (a) What is the wavelength of this microwave photon? (b) Is this radiation more or less energetic than radio wave with frequency of 1.98 x 100 Hz? Use the energy calculations to support your answer. (c) Does this radiation have longer or shorter wavelength than a X-ray with frequency of 4.55 x 1018 Hz? Use the wavelength calculations to support your answer.

Answer 1

Given, Energy of the photon, E = 2:45 X10-25 C20 Eohr h= 6.626x1098.5 <= 3:00x10 Sms ( We know, Eano 1. Eane . Wavelength of pluton 2 =“he6626 X 10^-345.5 x 3.00x 108m/s 2.45X10237 - 8.113 x103 Jis xmis- . -34 2.3.113x10-3 m b) Given, frequency of radio wave is, vx= 1.98x 10°42 coresponding energy of radio wave, ER = h&R 6.626x10 3:5 X 1098x10°412 = 13:12(5.5 XS"!) . 13.120 (: H2=485) *10-25, goda = 1312x10-255 *10-25 A. The radiation is being more energetic than this radio wave in'th frequency 1,98X10% HZ. as we have got the energy of the radiation in the question if is mentiones as 2.45 x 10-23 Scanned with CamScanner

© Given wawelengett of the radiation, as we evaluate it earlier is :8.113x10-? m (from @) and Givens, frequency of x-ray vx = 4.55x19"$42. . We know, I Exty x x = 2 x 2 x ray wavelenght ax = 2 / 2 : . : 3100X108m..=) 4.55x1018 HZ . 2 ly 0.659x1010m = 6:59x10 m [ Hz=cps. ES! . If we compare with the wavelength of the radiation Then we can see that the wavelength of radiation have longer wavelength than a x-ray with frequency 4.55x1018 42. 04 I as Scanned with CamScanner