An electron of mass
with a velocity
enters an electric field
constant
at
. If
is its de-Broglie wavelength initially, then its de-Broglie wavelength at time
is [NEET 2018]
Text Solution
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According to the question,


Thus, magnitude of force on the electron due to the electric field,

From Newton's second law of motion,


…… (i) 

From first equation of motion,
Here,
(initial velocity) 
…… ..(ii)
Initial de-Broglie wavelength of the electron is given as

……… (iii)
After time
, de-Broglie wavelength is given as

Substituting the value of
from Eq. (ii), we get

[from Eq. (iii)]


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