Calculate the wavelength of an electron (m = 9.11 × 10-28 g) moving at 3.66 × 106 m/s.
Asked by wiki @ in Physics viewed by 339 People
a. 1.99 x 10-10 m
b. 5.03 x 10-10 m
c. 1.81 x 10-10 m
d. 5.52 x 10-9 m
e. 2.76 x 10-9 m
Answered by wiki @
To answer this question, we will use De Broglie's rule which states that:
lambda = Planck's constant / momentum
Since: momentum = mass * velocity
Therefore,
lambda = Planck's constant / (mass*velocity)
For this problem, we are give that:
h (Planck's constant) = 6.63 * 10^-34
mass = 9.11 * 10^-28 * 10^-3 kg
velocity = 3.66 * 10^6 meter/sec
Substitute in De Brouglie's formula to get the wavelength as follows:
lambda = (6.63*10^-34) / (9.11*10^-28*10^-3*3.66*10^6)
lambda = 1.99 * 10^-10 meters
Correct choice is A
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