Question

A proton moving with an initial velocity $u$ enters a region of uniform electric field of intensity $E$ such that the initial velocity of time proton is in the direction of the electric field. The de-Broglie wavelength of proton as a function of time (t) is given by (q = charge of proton)

• A. $\frac{h}{qEt}$
• B. $\frac{h}{mu+qEt}$
• C. $\frac{h}{\sqrt{qEt}}$
• D. $\frac{h}{\sqrt{mu+qEt}}$

Answer 1

The correct option is B $\frac{h}{mu+qEt}$

$\begin{array}{c}\to E\\ m\underrightarrow{4}\\ ace=\frac{qE}{m}\\ \therefore V=u+\frac{qE}{m}t\\ \Rightarrow \lambda =\frac{h}{mv}=\frac{h}{mu+qEt}\\ \therefore OptionBiscorrect.\end{array}$