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Byju's Answer

Standard XII

Chemistry

Millikan's Oil Drop Experiment

A particle of...

Question

A particle of charge $q$ and mass $m$ moving with a velocity $v$ along $x -$ axis enters the region $x > 0$ with uniform magnetic field $B$ along the $^k$ direction. The particle will penetrate in this region in the $x -$ direction up to a distance $d$ equal to

Z e r o

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\frac{m v}{q B}

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\frac{2 m v}{q B}

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I n f i n i t y

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Solution

The correct option is B $\frac{m v}{q B}$
Lorentz force $F = q (\to v \times \to B) = q (v^i \times B^k) = - q v B^j$
The particle move in a circle, the plane of the circle is perpendicular to the direction of magnetic field.
Centripetal force is provided by the Lorentz force.
$q v B = \frac{m v^{2}}{r}$
$\Rightarrow r = \frac{m v}{q B}$

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