1.

Apparatus is set up to propagate e.m. waves in the x-direction, having wavelength of 6 mm. An electric field of magnitude 33V m^(-1) is applied in y-direction. The suitable equation of electric vector of electric field (as function of x and t) is :

Answer»

`E_(y)= 33 cos pi(t-(x)/(c))`
`E_(y)= 33 sin pi xx 10^(11) (t- x // c)`
`E_(y)= 33 sin 2PI(t-(x)/(c))`
`E_(y)= 33 sin pi (t- x // c)`

Solution :`lambda=6.0 mm=6 xx 10^(-3) m, E_(0)=33 V // m`
`OMEGA=2pi v=(2pi c)/(lambda)=pi xx 10^(11) "rad" // s`
Max. magnetic field,
`B_(0)=(E_(0))/(c)=(33)/(3 xx 10^(8))=11 xx 10^(-8) T` `:. E_(0)=33 xx 10^(11)`
Equation of electric field alpng y-axis in e.m. wave is
`E_(y)=E_(0) sin omega(t-(x)/(c))=33 sin pi 10^(11) (t- x // c)`


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