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Question

Statement-1: Conductivity of a metallic conductor decreases with increase in temperature.
Statement-2: On increasing temperature the number of free electrons in the metallic conductor decreases.

A
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
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B
Statement-1 is true, Statement-2 is true; Statement-2 is NOT a correct explanation for Statement-1
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C
Statement-1 is true, Statement-2 is false
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D
Statement-1 is false, Statement-2 is true
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Solution

The correct option is C Statement-1 is true, Statement-2 is false
For conductor, we know that resistivity (ρ) increases with temperature

T ρ

σ=1ρ

Resistance of the metallic wire increases with rise in temperature. If resistance increases conductivity decreases.
So, Statement-1 is true.

Number of free electrons in metals is not dependent on change in temperature.
Thus, Statement-2 is false.
Note : ρ=2mne2τ=1σ

σ is called conductivity and ρ is conductivity.
As temperature increases relaxation time τ decreases.
Resistivity increases and conductivity decreases.

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