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  • Tell me? - In an experiment, electrons are accelerated, from rest, by applying a voltage of 500V. Calculate the - Magnetic Effects of Current and Magnetism - JEE Main

In an experiment, electrons are accelerated, from rest, by applying a voltage of 500V. Calculate the radius of the path if a magnetic field 100mT is then applied. [ Charge of the electron = 1.6\times 10^{-19}C

              Mass of the electron = 9.1\times 10^{-31}kg]

 

  • Option 1)

     

    7.5\times 10^{-3}m

  • Option 2)

     

    7.5\times 10^{-4}m

  • Option 3)

    7.5\times 10^{-4}m

  • Option 4)

    7.5m

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}

-

r=\frac{\sqrt{2mk}}{qB}=\frac{\sqrt{2mq\Delta v}}{qB}

q=e

r=\frac{\sqrt{\frac{2m}{e}\Delta V}}{B}=\frac{\sqrt{\frac{2\times 9.1\times 10^{-31}}{1.6\times 10^{-19}}}(500)}{100\times 10^{-3}}

=7.5\times 10^{-4}m

 

 


Option 1)

 

7.5\times 10^{-3}m

Option 2)

 

7.5\times 10^{-4}m

Option 3)

7.5\times 10^{-4}m

Option 4)

7.5m

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