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

A light beam travelling in the x- direction is described by the electric field `E_y(300V (m^-1) sin omega (t-(x//c))`. An electron is constrained to move along the y-direction with a speed`(2.0 xx (10^7) m(s^-1))`. Find the maximum electric force and the maximum magnetic force on the electron.

A

The maximum electric force on the elctron is `4.8 xx 10 ^(-17) N `

B

The maximum magnetic force on the electron is `3.2 xx 10 ^(-18) N`

C

The maximum electric force on an electron is `5 xx 10 ^(-3) N`

D

The maximum magnetic force on electron is `2.3 xx 10 ^(-11) N.`

Text Solution

Verified by Experts

The correct Answer is:
A, B
The maximum electric field is `E_(0) =300 V m ^(-1).` The maximum magnetic field is
`B _(0) = ( E _(0))/( c) = ( 300 V m ^(-1))/( 3 xx 10 ^(8) m s ^(-1)) =10 ^(-6) T ` along the z-direction.
The maximum electric force on the electron is
`F_(e) = q E_(0) = (1.6 xx 10 ^(-19) C) xx (300 V m ^(-1) ) = 4. 8 xx 10 ^(-17) N`
The maximum magnetic force on the electron is
`B _(0) = ( E _(0))/( c) = ( 300 V m ^(-1))/( 3 xx 10 ^(8) m s ^(-1)) =10 ^(-6) T ` along the z-direction.
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