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  • A Particle of specific charge  is Projected from the origin of coordinates with initial velocity in t

A Particle of specific charge (q / m) is Projected from the origin of coordinates with initial velocity in the region along the +y direction, of magnitude E and B. The Particles will definitely between to the origin once if

Option: 1

[V B / 2 \pi E] is an integer


Option: 2

\left(u^2+v^2\right)^{1 / 2}[B \mid r E] is an integer


Option: 3

[V B \mid r E] is an integer


Option: 4

\left[4B \mid \pi E\right] is an integer


Answers (1)

best_answer

T=\frac{2 \pi m}{q B}

for E.F, \quad a=\frac{a E}{m} \uparrow

\begin{aligned} u_i & =v \downarrow \\ S=0, & v \cdot t=\frac{1}{2} \frac{q E}{m} \cdot t^2 \\ t & =\frac{2 m v}{q E} \end{aligned}

for touching t=n T
\begin{aligned} \frac{2 m V}{Q E} & =\frac{n 2 \pi m}{q B} \\ n & =\frac{V B}{\pi E} \end{aligned}

 

Posted by

Gaurav

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