An electron of mass `m` and charge `e` initially at rest gets accelerated by a constant electric field `E`. The rate of change of de-Broglie wavelength of this electron at time `t` ignoring relativistic effects is

Options

A. `(-h)/(eEt^(2))`
B. `(-eEt)/(E )`
C. `(-mh)/(eEt^(2))`
D. `(-h)/(e.E)`

Explanation

`"Here" mu=0,a=(eE)/(m),v=?.t=t`
`v=u+at=0,(eE)/(m)t,` de-Broglie wavelenght,
`lambda=(h)/(mv)=(h)/(m(eEt//m))=(h)/(eEt)`
Rate of change of de-Broglie wavelenght
`(dlambda)/(dt)=(h)/(eE)(-(1)/(t^(2)))=(-h)/(eEt^(2))`