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Question: Dimensions of a block are \(1cm \times 1cm \times 100cm\). If specific resistance of its material is...

Dimensions of a block are 1cm×1cm×100cm1cm \times 1cm \times 100cm. If specific resistance of its material is 3×10−7ohm−m3 \times 10^{- 7}ohm - m, then the resistance between the opposite rectangular faces is

A

3×10−9ohm3 \times 10^{- 9}ohm

B

3×10−7ohm3 \times 10^{- 7}ohm

C

3×10−5ohm3 \times 10^{- 5}ohm

D

3×10−3ohm3 \times 10^{- 3}ohm

Answer

3×10−7ohm3 \times 10^{- 7}ohm

Explanation

Solution

Length l = 1 cm =10−2m= 10^{- 2}m

Area of cross-section A

= 1 cm × 100 cm

= 100 cm2 = 10–2 m2

Resistance R = 3 × 10–7 ×10−210−2\times \frac{10^{- 2}}{10^{- 2}}= 3 × 10–7 Ω