The frequency of an electromagnetic wave in free space is 2MHz. When it passes through a region of relative permittivity E r=4.0,then what is the wavelength and frequency. (i.e, half double, etc.)

Dear Student ,
When an electromagnetic wave passes through a medium , then frequency remains unchanged. The speed of electromagnetic wave inside a medium is given by, c=1μεwhere,µ is permeability of the medium and ε is permittivity of the medium. In the above question the permeability is not given , hence if we consider the permeability of medium to be same as that of vacuum, then vspeed of electromagnetic wave falls by a factor of 2. As frequency remains unchanged,wavelength falls by a factor of 2 or gets halfed. speed=wavelength x frequency .
Regards

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