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Q.

In the experiment of Ohm’s law, a potential difference of 5.0V is applied across the end of a conductor of length 10.0 cm and diameter of 5.00mm. The measured current in the conductor is 200 A. The maximum permissible percentage error in the resistivity of the conductor is :

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a

8.4

b

3.9

c

3.0

d

7.5

answer is B.

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Detailed Solution

Ohm's Law, V=IR⇒V=Iρ4Lπd2⇒ρ=πd2VI4L⇒△ρρ×100=2△dd×100+△VV×100+△II×100+△LL×100⇒△ρρ×100=20.015.00×100+0.15.0×100+1200×100+0.110.0×100⇒△ρρ×100=0.4+2+0.5+1=3.9%

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In the experiment of Ohm’s law, a potential difference of 5.0V is applied across the end of a conductor of length 10.0 cm and diameter of 5.00mm. The measured current in the conductor is 200 A. The maximum permissible percentage error in the resistivity of the conductor is :