The dielectric constant of the unknown material is 2.3.
Dielectric constant is referred as a relative permittivity or amount of charge required to produce one unit of electric flux in a given medium.
Given the speed of light in vacuum c =3 x 10⁸ m/s and the speed of light through an unknown material v = 1.98 x 10⁸ m/s.
The dielectric constant is related to the velocity by the following relation,
v = c/√K
Rearranging for dielectric constant, we get
K = (c/v)²
Substitute the value into the expression ,we get
K =(3 x 10⁸ / 1.98 x 10⁸)²
K = 2.3
Thus, the dielectric constant of the unknown material is 2.3.
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