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  • Try this! - The region between y = 0 and y = d contains a magnetic field . A particle of mass m and charge q - Magnetic Effects of Current and Magnetism - JEE Main

 

The region between y = 0 and y = d contains a magnetic field \overrightarrow{B} = B\widehat{z} . A particle of mass m and charge q enters the region with a velocity \overrightarrow{v} = v\widehat{i}. If d = \frac{m\upsilon }{2qB}, the acceleration of the charged particle at the pint of its emergence at the other side is:

 

  • Option 1)

     

    \frac{qvB}{m}\left ( \frac{\sqrt{3}}{2}\widehat{i}+\frac{1}{2}\widehat{j} \right )

  • Option 2)

     

    \frac{qvB}{m}\left ( \frac{-\widehat{j}+\widehat{i}}{\sqrt{2}} \right )

  • Option 3)

     

    \frac{qvB}{m}\left ( \frac{\widehat{i}+\widehat{j}}{\sqrt{2}} \right )

     

     

  • Option 4)

     

    \frac{qvB}{m}\left ( \frac{1}{2}\widehat{i} - \frac{\sqrt{3}}{2}\widehat{j} \right )

Answers (1)

best_answer

 

Radius of charged particle -

r=\frac{mv}{qB}=\frac{P}{qB}=\frac{\sqrt{}2mk}{qB}=\frac{1}{B}\sqrt{}\frac{2mV}{q}

-

 

 


Option 1)

 

\frac{qvB}{m}\left ( \frac{\sqrt{3}}{2}\widehat{i}+\frac{1}{2}\widehat{j} \right )

Option 2)

 

\frac{qvB}{m}\left ( \frac{-\widehat{j}+\widehat{i}}{\sqrt{2}} \right )

Option 3)

 

\frac{qvB}{m}\left ( \frac{\widehat{i}+\widehat{j}}{\sqrt{2}} \right )

 

 

Option 4)

 

\frac{qvB}{m}\left ( \frac{1}{2}\widehat{i} - \frac{\sqrt{3}}{2}\widehat{j} \right )

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