An ionized gas contains both positive and negative ions. If it is subjected simultaneously to an electric field along the +x direction and a magnetic field along the +z direction, then

  • Option 1)

    Positive ions deflect towards +y direction and negative ions towards -y direction
     

  • Option 2)

     All ions deflect towards +y direction
     

  • Option 3)

    All ions deflect towards -y direction
     

  • Option 4)

    Positive ions deflect towards -y direction and negative ions towards +y direction

 

Answers (1)

As we learnt in 

Force on a current carrying conductor -

\underset{dF}{\rightarrow} =i (\underset{dl}{\rightarrow}\times \underset{B}{\rightarrow})

- wherein

idl=current element 

 

Due to electric field positive ion will move along +x direction and -ve ion along -x direction.

Since magnetic field is along +z direction, it will apply force in -y direction for both positive and negative ion.


Option 1)

Positive ions deflect towards +y direction and negative ions towards -y direction
 

incorrect

Option 2)

 All ions deflect towards +y direction
 

incorrect

Option 3)

All ions deflect towards -y direction
 

correct

Option 4)

Positive ions deflect towards -y direction and negative ions towards +y direction

incorrect

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