Suppose you mention the resistivity of an alloy as $$R_{alloy}$$​ which is made of two metals, A and B, and the resistivity of the constituent metals are denoted by $$R_A$$​ and $$R_B$$​. Which of the following relations is true?

Correct option is B

The resistivity of an alloy is typically greater than the resistivity of its constituent metals. This occurs because:

Alloying introduces impurities and lattice distortions

These imperfections scatter electrons more effectively than in pure metals

Increased electron scattering leads to higher resistivity

​$$\begin{aligned}&\text{For any two metals A and B:} \\\\&R_{\text{alloy}} > R_A \quad \text{and} \quad R_{\text{alloy}} > R_B \\\\&\text{This holds true regardless of whether } R_A > R_B \text{ or vice versa.}\end{aligned}$$

Options 1, 2, and 4 suggest the alloy's resistivity could be less than one or both constituent metals, which violates the fundamental behavior of alloys.

Only Option 3 correctly states that the alloy's resistivity exceeds both constituent metals' resistivities.​​