Current Electricity Charging Discharging Of Capacitors Question 348

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

[MP PET 1993]

Options:

A) $ 3\times {{10}^{-9}}\Omega $

B) $ 3\times {{10}^{-7}}\Omega $

C) $ 3\times {{10}^{-5}}\Omega $

D) $ 3\times {{10}^{-3}}\Omega $

Show Answer

Answer:

Correct Answer: B

Solution:

Length l = 1 cm $ ={{10}^{-2}}m $ Area of cross-section A = 1 cm ´ 100 cm $ =100cm^{2}=10^{-4}m^{2} $ Resistance $ R=3\times 10^{7}\times \frac{{{10}^{-2}}}{{{10}^{-4}}}=3\times 10^{9}\Omega $



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