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`(m_(0)v_(0))/(q_(0)E_(0))``2(m_(0)v_(0))/(q_(0)E_(0))``sqrt(3) (m_(0)v_(0))/(q_(0)E_(0))``3 (m_(0) v_(0))/(q_(0)E_(0))`

Answer :

CSolution :

Initial debrogle wavelength `= (h)/(m_(0)v_(0))` <br> After any time `t = lamda = (h)/(m_(0)v_(0)+q_(0)E_(0)t)` <br> When `lamda` becomes half of the initial value : <br> `(h)/(2m_(0)v_(0))=(h)/(m_(0)v_(0)+q_(0)E_(0)t)` <br> `rArr m_(0)v_(0)=q_(0)E_(0)t rArr t = sqrt(3) (m_(0)v_(0))/(q_(0)E_(0))`.