Q107 / 120 · JEE Main 2007 · Physics

The resistance of a wire is $5 \mathrm{~ohm}$ at $50^{\circ} \mathrm{C}$ and $6 \mathrm{~ohm}$ at $100^{\circ} \mathrm{C}$. The resistance of the wire at $0^{\circ} \mathrm{C}$ will be

  • A
    $2 \mathrm{~ohm}$
  • B
    $1 \mathrm{~ohm}$
  • Correct answer
    C
    $4 \mathrm{~ohm}$
  • D
    $3 \mathrm{~ohm}$

Solution

$\frac{5}{6}=\frac{1+50 \alpha}{1+100 \alpha}$ $5=R_0(1+\alpha \times 50)$ $R_0=4$

Hence, the correct answer is option: 'C'.

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