Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

What will be the resistance of an aluminium wire of length 1.2 m and cross sectional area $2.6 mm^2$. The resistivity of aluminium is $2.6 \times 10^{-8} \Omega m$

Options:

$1.2 \times 10^{-8} \Omega$

$1.2 \times 10^{-5} \Omega$

$1.2 \times 10^{-2} \Omega$

$2.2 \times 10^{-2} \Omega$

Correct Answer:

$1.2 \times 10^{-2} \Omega$

Explanation:

The correct answer is Option (3) → $1.2 \times 10^{-2} \Omega$

Resistance of an wire (R) -

$R=ρ\frac{L}{A}$

where,

Resistivity $(ρ) = 2.6 × 10^{-8}Ωm$

Length $(l)=1.2m$

Sectional Area $(A) = 2.6mm^2=2.6× 10^{-6}m^2$

$R=\frac{2.6 × 10^{-8} × 1.2}{2.6 × 10^{-6}}$

$=1.2 \times 10^{-2} \Omega$