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An electron of mass m with an initial ve...

An electron of mass `m` with an initial velocity
`vec(v) = v_(0) hat`(i) `(v_(0) gt 0)` enters an electric field
`vec(E ) =- E_(0) hat (i)` `(E_(0) = constant gt 0)` at `t = 0` . If `lambda_(0)` is its de - Broglie wavelength initially, then its de - Broglie wavelength at time `t` is

A

`lambda_(0)/((1+(eE_(0)t)/(mv_(0)))`

B

`lambda_(0)(1+(eE_(0)t)/(mv_(0)))`

C

`lambda_(0)`

D

`lambda_(0)t`

Text Solution

Verified by Experts

The correct Answer is:
A
`V=V_(0)+(eE_(0)t)/m,lambda=h/(mv)`
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