Single Choice

What will be the wavelength of an electron moving with $$\frac{1}{10}th$$ of velocity of light?

A$$2.43\times 10^{-11}m$$
Correct Answer
B$$243\times 10^{-11}$$ $$m$$
C$$0.243$$ $$m$$
D$$2.43\times 10^{-4}m$$

Solution

According to de Broglie's equation
λ=
h
mv

where, λ= de-Broglie wavelength
h=6.626×10−34Js=Planck's constant
m=mass of electron=9.1×10−31 kg
velocity of light, c=3×108 m/s
velocity of electron, v=
1
10

×c=
1
10

×3×108=3×107 m/s
upon substitution we get:
λ=
6.626×10−34
9.1×10−31×3×107

λ=0.243×10−10=2.43×10−11m

SIMILAR QUESTIONS

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