Question

Review | Constants 1 Periodic Table The mass of an electron is 9.11 x 10 1 kg. If the de Broglie wavelength for an electron in a hydrogen atom is 3.31 x 100 m, how fa is the electron moving relative to the speed of light? The speed of light is 3.00 x 10 m/s. Express your answer numerically as a percent. View Available Hint(s) 90 AED O ? Submit Part B The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 69.0 m/s, what is its corresponding wavelength? Express your answer with the appropriate units. View Available Hint(s) - LuÀ 6 + 6 L1 ? Value Units

Answer 1

* Given, mass of election = 9:11 x 10-31 k - De-Boogle Wavelength = 3431X10-10 c= 3x108 m/s. We have calentate (cz speed of light) - what i e the value of v? - from de- Booglie equation 2 h - ha plank constant (6 626 X 18-34 IS. vzn 6*626410 34 IS mx 9.111031kg X 3'3) x100m - 6'626 X10-34 Jos a 'll X 10 -31 kg x 3.31x100 m x 1 kg my = 2'20 x 106 m/s 11 J- jkg m²5

Since the speed of light = 3x108 m/s. 2.20 x 106 mlos 3x108 m/s - 0007 3 X 100 =0.739 The electon is moving o'73 % less fast than the speed of light. Past B Given mass of golf ball = 45.9 g. y = 69.0 m/s. (wavelength) 12? From de- Booglie equation. _à k 6°626 X10 34 IS 459 g x 69.0 ms 1. mr 662 6 810-34 JS 0.0 459 kg x 69.oms 69 oms Az 2009 x 10-34 m [13 kg m"52 Wavelength (2) 209 x 10-34 m.