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In a certain region of space electric field \vec{E} and magnetic field \vec{B} are perpendicular to each other and an electron enters in region perpendicular to the direction of \vec{B} and \vec{E} both and moves undefected, then velocity of electron is

  • Option 1)

    \frac{\left |\vec{E} \right |}{\left |\vec{B} \right |}

  • Option 2)

    \vec{E}\times \vec{B}

  • Option 3)

    \frac{\left |\vec{B} \right |}{\left |\vec{E} \right |}

  • Option 4)

    \vec{E}. \vec{B}

 

Answers (1)

best_answer

 

Lorentz Force -

underset{F}{
ightarrow}= q [underset{E}{
ightarrow}+(underset{V}{
ightarrow}	imes underset{B}{
ightarrow})]

- wherein

Lorentz equation 

 

 For particle to move unaffected magnetic force=electric force

q\left | \underset{v}{\rightarrow}\times \underset{B}{\rightarrow} \right |=q\left | \underset{E}{\rightarrow} \right |\\ v=\frac{\left | \underset{E}{\rightarrow} \right |}{\left | \underset{B}{\rightarrow} \right |}


Option 1)

\frac{\left |\vec{E} \right |}{\left |\vec{B} \right |}

This option is correct 

Option 2)

\vec{E}\times \vec{B}

This option is incorrect 

Option 3)

\frac{\left |\vec{B} \right |}{\left |\vec{E} \right |}

This option is incorrect 

Option 4)

\vec{E}. \vec{B}

This option is incorrect 

Posted by

prateek

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