Question

Calculate the wavelength of an electron moving with velocity of 3.6 X 10-25m/s. ONLY ANSWER IF U KNOW IT.. DONT WASTE TIME

Answer 1

Given ,

• Velocity of electron = 3.6 × (10)^-25 m/s

According to de broglie equation , the wavelength of an electron is given by

$\sf \large \fbox{λ= \frac{h}{mv} }$

Where ,

h = Planck's constant

m = Mass of electron

v = Velocity of electron

Thus ,

$\sf \mapsto λ = \frac{6.63 \times {(10)}^{ - 34} }{1.6 \times {(10)}^{- 19} \times3 \times {(10)}^{ - 25} } \\ \\ \sf \mapsto λ = \frac{2.21 \times {(10)}^{ (- 34 + 19 + 25)} }{1.6} \\ \\ \sf \mapstoλ =1.3 \times {(10)}^{10} \: \: A$

$\sf \therefore \underline{The \: wavelength \: of \: electron \: is \: 1.3 \times {(10)}^{10} \: A \: \: }$