Answer the following questions about quantum mechanics of atoms
a. Estimate the wavelength for an n = 2 to n =1 transition in zirconium
b. A mixture of iron and an unknown material are bombarded with high energy electrons. Two different wavelengths of X-rays are emitted. X-rays with a wavelength of 194 pm come from iron. From what element do X-rays with a wavelength of 229 pm come from?
c. A 14 g bullet leaves a rifle with a speed of 170 m/s. What is its de Broglie wavelength?
d. If the position of the bullet is known to a precision of 0.50 cm, what is the minimum uncertainty with which we could measure its momentum?
(a)
The wavelength of the transition is given by
b)
The X-ray of 229 pm comes from the Chromium.
c)
The de Broglie wavelength is given by
d)
Uncertainty in the position is
Uncertainty in the momentum is given by
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