what magnetic field strength will allow the electron to pass between the plates without being deflected

Complete Question

An electron travels with speed 2.0 X 10^7 m/s between two parallel charged plates. The plates are separated by 2.0 cm and are charged by a 400V battery. What magnetic field strength and direction will allow the electron to pass between the plates without being deflected.?

The value  

Explanation:

From the question we are told that

   The  speed of the electron is  

    The voltage  is  

     The distance of separation is  

Generally the electric field is mathematically represented as

=>    

=>    

Generally for the electron to pass without deflection then

Where is the maximum magnetic force acting on the electron which is mathematically represented as

Since we are considering maximum magnetic field then

=>  

And  

    is the electric force on the electron which is mathematically represented as

Here e is the charge on the electron with the value

=>  

=>      

So

=>    

=>    

found in the nucleus

has mass of one amu

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards