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)

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)

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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enlacamig

Answered 2021-12-16
Author has **30** answers

a) the formula for the debroglie wavelength of an electron is as shown below.

$\lambda =\frac{h}{mv}$

$m=9.1\times {10}^{-31}\text{}kg$

$h=6.63\times {10}^{-34}\text{}kg{m}^{2}{s}^{-1}$

here m = mass of electron

v = velocity

since we have given v = 50% of c i.e speed of light

hence$v=0.5\times 3\times {10}^{8}=1.5\times {10}^{8}$ approximately.

Hence substituting the values we get

$\lambda =6.63\times \frac{{10}^{-34}}{9.1\times {10}^{-31}\times 1.5\times 108}=4.857\times {10}^{-12}\text{}m$

b) using the above formula for

m = 55gm = 0.055 kg

and v = 45m/sec

we get$\lambda =6.63\times \frac{{10}^{-34}}{0.055\times 45}=2.679\times {10}^{-34}\text{}m$

here m = mass of electron

v = velocity

since we have given v = 50% of c i.e speed of light

hence

Hence substituting the values we get

b) using the above formula for

m = 55gm = 0.055 kg

and v = 45m/sec

we get

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