1.

The electric field of a plane electromagnetic wave is given by vecE(t)=E_(0)(hati+hatj)/sqrt2cos(omegat+kz). At t = 0, a positively charged particle is at the point (x,y,z)=(0,0,pi/k). If its instantaneous velocity at t = 0 is v_(0)hatk, the force acting on it due to the wave is

Answer»

zero
antiparallel to `(hati+hatj)/SQRT2`
PARALLEL to `(hati+hatj)/sqrt2`
parallel to `hatk`

Solution :Direction of force DUE to electric field = `-(hati+hatj)/sqrt2`
Because, at t = 0, `VECE=(-(hati+hatj))/sqrt2E_(0)`
`rArr` Direction of force `Q(vecvxxvecB)` due to magnetic field is parallel to `vecE" as "vecv||hatk`
`therefore` Resultant force is anti-parallel to `((hati+hatj))/sqrt2`.


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