The energy gaps (E_g) between valence band and conduction band for diamond, silicon and germanium are in the order

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$\begin{aligned} E_{g} (diamond) > E_{g} (silicon) > E_{g} (germanium) \end{aligned}$

$\begin{aligned} E_{g} (diamond) < E_{g} (silicon) < E_{g} (germanium) \end{aligned}$

$\begin{aligned} E_{g} (diamond) = E_{g} (silicon) = E_{g} (germanium) \end{aligned}$

$\begin{aligned} E_{g} (diamond) > E_{g} (germanium)) > E_{g} (silicon) \end{aligned}$

answer is A.

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Detailed Solution

Ionization energy is the energy required to pull away an electron.
So, if the atomic radius is small, the electron "feels" stronger pull from the positive nucleus, thus that electron is harder to pull off.
Therefore it decreases with an increase in atomic radii.

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