Question

Chapter 6-183-CHEM-101 O file://C/Users/albaq/Desktop/Chemistry%20book.pdf of 1206 282 CHECKPOINT SECTION 6.4 Wave Pro 6.4.1 Calculate the de Broglie wavelength associated with a helium-4 atom (4.00 amu) moving at 3.0 x 10° m/s. a) 2.0 x 10-20 b) 3.3 x 101 m c) 3.3 x 10-14 m d) 1.8 x 10-19 m e) 6.6 x 1027 E E

Answer 1

We know that

de Broglie wavelength associated with moving particle ($\lambda$) = h/m*v

where Planck's constant (h)= 6.63 X 10^-34 J.s

m= mass of particle and v= velocity of particle

for given problem

1 amu= 1.66 X 10^-27  kg

therefore for He

m= 4 X 1.66 X 10^-27  kg, v= 3 X 10⁶ m/s

de Broglie wavelength associated with helium ($\lambda$)= 6.63 X 10^-34 J.s/ (4 X 1.66 X 10^-27  kg)*3 X 10⁶ m/s= 3.3 X10 ^-14 m

answer= c