The electrical conductivity of a metal decreases with increasing temperature, because

Correct option is C

The correct answer is (c) metal atoms vibrate more at high temperature

Explanation:
• In standard metallic conductors, electrical current is driven by the smooth flow of free delocalized electrons.
• As the temperature systematically increases, the positive metal ions (atoms) in the lattice structure vibrate more vigorously with heightened amplitude.
• This intense vibration vastly increases the frequency of collisions between the drifting electrons and the ions, restricting their flow and hence decreasing electrical conductivity.

Information Booster:
• The resistance of a metal linearly increases with temperature. This principle is utilized effectively in designing resistance thermometers.
• In stark contrast, the conductivity of semiconductors (like Silicon) actually increases with temperature because thermal energy excites more electrons into the conduction band.

Additional Knowledge:
the energy of electrons increases with increasing temperature (Option a)
• While their thermal velocity increases, the chaotic motion does not aid a directional drift current; it is the lattice vibration that fundamentally causes the resistance.
metal increases on heating (Option b)
• Thermal expansion (the volume increase) occurs but is not the primary physical reason for diminished conductivity.
metals have low specilis heat (Option d)
• Specific heat capacity dictates how much energy is needed to raise temperature, entirely unrelated to the mechanics of electrical resistance.
None of the above/More than one of the above (Option e)
• Incorrect, as lattice vibration is the fundamental accepted answer.

So the correct answer is (c)