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Sagot :
The wavelength of an electron is 0.363 × 10⁻¹⁰m if it is moving with a velocity of 2×10⁷m/sec
For an electron energy relation with frequency and wavelength is same as photon have, but the wavelength relation for an electron is different from photon wavelength relation.
According to de-broglie postulates, we know that if a electron is moving with velocity v and having mass m, then its wavelength is given by
Wavelength=(plank's constant)/(mass of electron × velocity of electron)
=>λ = h/(m × v)
Plank's constant value is independent of external effects like temperature, pressure, work, torque etc.
Now, we know that h=6.62×10⁻³⁴(J/m)-sec
mass of electron =9.1×10⁻³¹Kg
and velocity of electron=2×10⁷m/sec
So,λ =(6.62×10⁻³⁴(J/m)-sec) / (9.1×10⁻³¹Kg×2×10⁷m/sec)
=>λ = (6.62×10⁻³⁴) / (18.2×10⁻²⁴)
=>λ=0.363 × 10⁻¹⁰m
Hence, wavelength of electron is 0.363 × 10⁻¹⁰m.
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