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An electron (mass =9.1xx10^(-31)kg, char...

An electron (mass `=9.1xx10^(-31)kg`, charge `=1.6xx10^(-19)C`) experiences no deflection if subjected to an electric field of `3.2x10^(5)V/m`, and a magnetic fields of `2.0xx10^(-3)Wb/m^(2)`. Both the fields are normal to the path of electron and to each other. If the electric field is removed, then the electron will revolve in an orbit of radius

A

`45m`

B

`4.5m`

C

`0.45m`

D

0.045m`

Text Solution

Verified by Experts

The correct Answer is:
C

`oversetrarr(F_(e)) + oversetrarr(F_(m)) = 0 implies F_(e) = F_(m)`
`eE = eVB`
`v = (E)/(B) implies (3.2 xx 10^(5))/(2 xx 10^(-3)) = 1.6 xx 10^(8) m//s`
`r =(mv)/(qB) = (9.1 xx 10^(-3) xx 1.6 xx 10^(8))/(1.6 xx 10^(-19) xx 2 xx 10^(-3)\) = 0.45 m` .
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