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Question: In an electron gun electron is accelerated through a potential difference V<sub>0</sub>. The distanc...

In an electron gun electron is accelerated through a potential difference V0. The distance from the electron gun at which electron becomes stationary for the first time is - (e = charge of electron, m = mass of electron, gravity = 0, E = Electric field outside the electron gun)

A

eV02mE\frac{eV_{0}^{2}m}{E}

B

2eV02mE\frac{2eV_{0}^{2}m}{E}

C

eV02m2E\frac{eV_{0}^{2}m}{2E}

D

2EeV02V_{0}^{2} m

Answer

2eV02mE\frac{2eV_{0}^{2}m}{E}

Explanation

Solution

Due q1, electric feed at P(E1) =

q2 electric fed at P(E2) =

At P

\ tanq = = = (12)\left( \frac { 1 } { 2 } \right)× (21)2\left( \frac { 2 } { 1 } \right) ^ { 2 } = 2