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(A) $1$. The dielectric constant $(K)$ of a substance is defined as the ratio of the permittivity of the substance $(\varepsilon)$ to the permittivity

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$\infty$

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(A) $1$. The dielectric constant $(K)$ of a substance is defined as the ratio of the permittivity of the substance $(\varepsilon)$ to the permittivity of free space $(\varepsilon_0)$,given by $K = \varepsilon / \varepsilon_0$.$2$. For a metal,the net electric field $(E_{net})$ inside the material is always zero when placed in an external electric field $(E_{ext})$.$3$. The induced electric field $(E_{ind})$ inside the metal exactly cancels the external electric field,such that $E_{net} = E_{ext} - E_{ind} = 0$.$4$. Since $K = E_{ext} / E_{net}$,and $E_{net} = 0$,the dielectric constant $K$ for a metal is $K = E_{ext} / 0 = \infty$.$5$. Therefore,the dielectric constant of a metal is infinite.

The dielectric constant of a metal is ........ .

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