5, what is the wavelength of an electron traveling at 7S9% of the speed of light

Question

5, what is the wavelength of an electron traveling at 7S9% of the speed of light A) 3.13x10" m B) 2.43x 10 C) 3.20x 10-"m D) 3.13 x 10m 19 3.20 x 10m 6. Which quantum number distinguishes the different shapes of the orbitals? A) B) C) 1 D) mt E) any of these 7. Which of the following subshells does not exist? A) 6g B) 3r C) 3p D) 2s E) 4d Which of the following statements is incorrest? 8. A) The set of quantum numbers n32m-,mis not permitted because -0. The set ofquantum numbers " " 2,1-2, m,-1, m, B) is not permitted because C) D) The set ofquantum numbers n-3, 1-2, m,-1, The set ofquantum numbers " " 3, 1-2, mor-3, m.--i is not permitted because m, exceeds l m.- is permitted. E) The set ofquantum numbers n-4,1-3,m--l, m, = 0 is not permitted because 9. How many orbitals have the set of quantum numbers n- 4 and 1 2? A) 5 B) 9 C) 7 D) 1 E) 3

Explanation / Answer

Q5

The Equation is given by

= h/(mv)

where

= Wavelength

h = Planck Constant = 6.626*10^-34 J s

m = mass in kg

v = velocity in m/s

Now, substitute all data

v = %c = 7.59/100*c = 7.59/100*(3*10^8) = 22770000 m/s

WL = ( 6.626*10^-34)/((9.109*10^-31)(22770000 ))

WL = 3.1946*10^-11 m

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