In a coordinate system an electric field E and a magnetic field B exist in X-direction and particle of charge and

Question

In a coordinate system an electric field E and a magnetic field B exist in X-direction and particle of charge $q$ and mass $m$ is projected with a velocity $v$ from origin along Y-direction. A target is located at point $(x_{0}, 0, 0)$ . Find the magnitude of magnetic induction B (in Tesla) so that the particle will hit the target when it is crossing the X-axis third time. [Consider that $π^{2} = 10, E = 1, x_{0} = 1, m = 2, q = 10$ all quantities in SI Unit]

Smart Achievers · Accepted Answer

(6)

$Motion will be helical with increasing pitch, particle should hit the target in third round$

$x_{0} = \frac{1}{2} \frac{q E}{m} {(3 T)}^{2}$

$\Rightarrow B = 6 T$

Solution

Ans.
(6)

$Motion will be helical with increasing pitch, particle should hit the target in third round$

$x_{0} = \frac{1}{2} \frac{q E}{m} {(3 T)}^{2}$

$\Rightarrow B = 6 T$

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Solution

Ans. (6) Motion will be helical with increasing pitch, particle should hit the target in third round x0=12qEm(3T)2 ⇒B=6T

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Ans.
(6)

$Motion will be helical with increasing pitch, particle should hit the target in third round$

$x_{0} = \frac{1}{2} \frac{q E}{m} {(3 T)}^{2}$

$\Rightarrow B = 6 T$