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Question: Dimensions of a block are 1 cm× 1 cm× 100 cm. If specific resistance of its material is 3 × 10<sup>–...

Dimensions of a block are 1 cm× 1 cm× 100 cm. If specific resistance of its material is 3 × 10–7ohm-m, then the resistance between it’s opposite rectangular faces is

A

3 × 10–9ohm

B

3 × 107ohm

C

3 × 10–5ohm

D

3 × 10–3ohm

Answer

3 × 107ohm

Explanation

Solution

Length l = 1 cm =102m= 10^{- 2}m

Area of cross-section A = 1 cm × 100 cm

= 100 cm2 = 10–2 m2

Resistance R = 3 × 10–7 ×102102\times \frac{10^{- 2}}{10^{- 2}}= 3 × 10–7