Choose the only false statement from the following :

The statement that "The resistivity of a semiconductor increases with increase in temperature" is false. In fact, the resistivity of a semiconductor decreases with an increase in temperature. This is because as the temperature increases, more electrons are excited from the valence band to the conduction band, increasing the number of charge carriers and thus decreasing the resistivity. The other options are true: substances with a large energy gap (of the order of 10 eV) are indeed insulators, the conductivity of a semiconductor does increase with temperature due to the increased number of charge carriers, and in conductors, the valence and conduction bands can overlap, allowing for easy flow of electrons.