Indicate the false statement about the resistance of a wire A. It depends on material of wire B. It is directly proportional to the length of wire C. It is directly proportional to the area of cross-section of wire D. Resistance of metallic wire increases with increase in temperature

It depends on material of wire
It is directly proportional to the length of wire
It is directly proportional to the area of cross-section of wire
Resistance of metallic wire increases with increase in temperature
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The correct answer is D. Resistance of metallic wire increases with increase in temperature.

The resistance of a wire is determined by the following factors:

  • The material of the wire. The resistivity of a material is a measure of how difficult it is for an electric current to flow through it. Different materials have different resistivities. For example, copper has a resistivity of 1.68 x 10-8 Ω m, while iron has a resistivity of 10.0 x 10-8 Ω m. This means that copper is a better conductor of electricity than iron.
  • The length of the wire. The longer the wire, the greater the resistance. This is because the current has to travel a longer distance through the wire.
  • The area of cross-section of the wire. The larger the area of cross-section, the lower the resistance. This is because the current has more space to flow through the wire.
  • The temperature of the wire. The resistance of a metal wire increases with increasing temperature. This is because the atoms in the wire vibrate more at higher temperatures, which makes it more difficult for the electrons to flow through the wire.

Therefore, the false statement about the resistance of a wire is D. Resistance of metallic wire increases with increase in temperature.

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