An electron (mass m ) with initival velocity `vecv = v_(0) hati + v_(0) hatj` is the an electric field `vecE = - E_(0)hatk` . It `lambda_(0)` is initial de - Broglie wavelength of electron, its de-Broglie wave length at time t is given by :

Options

A. `(lambda_(0))/(sqrt(2+(e^(2)E^(2)t^(2))/(m^(2)v_(0)^(2)))`
B. `(lambda_(0))/(sqrt(1+(e^(2)E_(0)^(2)t^(2))/(m^(2)v_(0)^(2)))`
C. `(lambda_(0))/(sqrt(1+(e^(2)E^(2)t^(2))/(2m^(2)v_(0)^(2)))`
D. `(lambda_(0)sqrt(2))/(sqrt(1+(e^(2)E^(2)t^(2))/(m^(2)v_(0)^(2)))`

Answer

c