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JEE MAIN 2021
22-07-21 S2
Question
A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm2 is joined with a similar Aluminium (Al) rod as shown in figure. Find the resistance of the combination between the ends A and B.
(Take Resisitivity of Copper $=1.7 \times 10^{-8} \Omega \mathrm{~m}$ Resistivity of Aluminium $=2.6 \times 10^{-8} \Omega \mathrm{~m}$ )
Select the correct option:
A
$2.170 \mathrm{~m} \Omega$
B
$1.420 \mathrm{~m} \Omega$
C
$0.0858 \mathrm{~m} \Omega$
D
$0.858 \mathrm{~m} \Omega$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
R = R₁R₂ / (R₁ + R₂) = ℓ/A · ρ₁ρ₂ / (ρ₁ + ρ₂) R = (25 × 10⁻² / 3 × 10⁻⁶) × (1.7 × 2.6 × 10⁻¹⁶ / 4.3 × 10⁻⁸) R = 0.585 mΩ
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