Question

The resistance of a metal increases with increasing temperature because

• A. the collisions of the conducting electrons with the electrons increase
• B. the collisions of the conducting electrons with the lattice consisting of the ions of the metal increase
• C. the number of conduction electrons decreases
• D. the number of conduction electrons increases

Hint:

For metals, temperature rise increases lattice vibrations, increasing electron collisions and hence resistance.

Answer 1

The Correct Option is B

Step 1: Understand why resistance depends on temperature.
In metals, conduction electrons move through a lattice of ions. The resistance arises due to collisions that hinder electron motion.
Step 2: Effect of increasing temperature.
As temperature increases, ions in lattice vibrate more strongly about their mean positions.
Step 3: Increased lattice vibrations increase collisions.
More vibrations \(\Rightarrow\) more frequent electron-lattice collisions \(\Rightarrow\) reduced mean free path.
Step 4: Resistance increases.
Because electrons face more obstruction, resistance rises with temperature.
Final Answer:
\[ \boxed{\text{(B) collisions with the lattice increase}} \]