Calculate the de Broglie wavelength for each of the following. a.)

Tiffany Russell 2021-12-15 Answered
Calculate the de Broglie wavelength for each of the following.
a.) an electron with a velocity 50.% of the speed of light
b.) a tennis ball (55 g) served at 45 m/s (~100 mi/h)
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Expert Answer

enlacamig
Answered 2021-12-16 Author has 30 answers
a) the formula for the debroglie wavelength of an electron is as shown below.
λ=hmv
m=9.1×1031 kg
h=6.63×1034 kgm2s1
here m = mass of electron
v = velocity
since we have given v = 50% of c i.e speed of light
hence v=0.5×3×108=1.5×108 approximately.
Hence substituting the values we get
λ=6.63×10349.1×1031×1.5×108=4.857×1012 m
b) using the above formula for
m = 55gm = 0.055 kg
and v = 45m/sec
we get λ=6.63×10340.055×45=2.679×1034 m
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