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An electron having kinetic energy K is m...

An electron having kinetic energy `K` is moving i a circular orbit of radius `R` perpendicular to a uniform magnetic induction. If kinetic energy is douled and magnetic induction tripled, the radius will become

A

`(3R)/(2)`

B

`sqrt((3)/(2))R`

C

`sqrt((2)/(9))R`

D

`sqrt((4)/(3))R`

Text Solution

Verified by Experts

The correct Answer is:
C
`r =(mv)/(qB) = sqrt((2mT)/(qB))`
`r' = sqrt(2m(2T))/(q(3B)) = sqrt(2)/(3) r implies sqrt((2)/(9))R` .
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