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Question
An electron moving along positive X axis with a velocity of 8 ×107ms-1 enters a region having uniform magnetic field B = 1.3 × 10-3 T along positive Y axis.
- Explain why the electron describes a circular path.
- Calculate the radius of the circular path described by the electron.
Solution
(a) Because force exerted by the magnetic field is always perpendicular to its velocity. So, it provides the necessary centripetal force to the electron.
(b) `"e"/"m" = "v"/("Br")`
`(1.6 xx 10^(-19))/(9.1 xx 10^(-31)) = (8 xx 10 xx 7)/(1.3 xx 10^(-3) xx "r")`
∴ r = 0.35 m
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