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A light beam travelling in the x-directi...

A light beam travelling in the x-direction is described by the electric field : `E_(y) = 270 "sin" omega(t-(x)/(c)).` An electron is constrained to move along the y-direction with a speed of `2.0xx10^(7) "ms"^(-1).` find the maximum electric force and maximum magnetic force on the electron.

A

`4.20 xx 10 ^(-15) N, 3.82 xx 10 ^(-16)N`

B

`3.62 xx 10 ^(-19) N, 1.63 xx 10 ^(-18) N`

C

`4.32 xx 10 ^(-17) N, 2.88 xx 10 ^(-18) N `

D

`5.31 xx 10 ^(-18) N, 5.62 xx 10 ^(-18) N`

Text Solution

Verified by Experts

The correct Answer is:
C

Maximum electric field, `E _(0) = 270 V m ^(-1) `
Maximum magnetic field,
`B _(0) = (E _(0))/(c) = ( 270 )/( 3 xx 10 ^(8)) = 9 xx 10 ^(-7) T,` directed alog z-direction.
Maximum electric force on the electron,
`F _(e) =q E_(0) =1. 6 xx 10 ^(-19) xx 270 = 4.32 xx 10 ^(-17) N`
Maximum magnetic force on the electron
`F_(m) = qvB_(0) = 1. 6 xx 10 ^(-19) xx 2.0 xx 10 ^(7) xx 9 xx 10 ^(-7) `
`= 2. 88 xx 10 ^(-18) N`
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