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Q.

A rod of a certain metal is 1.0 m long and 0.6 cm in diameter. Its resistance is 3.0 × 10−3 ohm. Another disc made of the same metal is 2.0 cm in diameter and 1.0 mm thick. What is the resistance between the round faces of the disc?

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a

1.35 × 10−8 ohm

b

2.70 × 10−7 ohm

c

4.05 × 10−6 ohm

d

8.10 × 10−5 ohm

answer is B.

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Detailed Solution

Resistivity of the material of the rod8.10 × 10−5 ohmρ=RAl = 3×10−3π 3×10−221 = 27×10−9 πΩmResistance of disc R=ρ ThicknessArea of cross section= 27 × 10−19 π × 10−3π × 1 × 10−22 = 2.7 × 10−7 Ω

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A rod of a certain metal is 1.0 m long and 0.6 cm in diameter. Its resistance is 3.0 × 10−3 ohm. Another disc made of the same metal is 2.0 cm in diameter and 1.0 mm thick. What is the resistance between the round faces of the disc?