Doubly ionized helium ions are projected with a speed of `10kms^(-1)` in a direction perpendicular to a uniformmagnetic field of magnitude 1.0 T. Find (a) the force acting on an ion, (b) the radius of the circle in which it ciruclates and ( c) the time taken by an ion to complete the circle.
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(a) `F=qv B sin theta` `=(2xx1.6xx10^-19)xx(10xx10^3)xx1.0xxsin 90^@` `=3.2xx10^-15N` (b) `r=(mv)/(qB)=((4xx1.67xx10^-27)xx10xx10^3)/((2xx1.6xx10^-19)xx1.0)=2.1xx10^-4m` (c) `T=(2pim)/(qB)=(2pixx(4xx1.67xx10^-27))/((2xx1.6xx10^-19)xx1.0)=1.32xx10^-7s`
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CENGAGE PHYSICS-MAGNETIC FIELD AND MAGNETIC FORCES-Multiple Correct Answer type
