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Define 1 ohm resistance. A student has a resistance wire of 1 ohm. If the length of this wire is 50 cm, to what length he should stretch it uniformly so as to obtain a wire of ` 4 Omega` resistance? Justify your answer . |
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Answer» 1 ohm is the resistance of a conductor such that when a potential difference of 1 volt is applied to its ends, a current of ampere flows through it. Resistance, 1R_(1) = 1 Omega, L_(1) 50 cm = (50)/(100) m = (1)/(2)`m ` Required resistance, `R_(2) = 4 Omega` Required length, `L_(2) = ?` R `propto` L `(R_(1))/(L_(1)) ` Constant, `(R_(2))/(L_(2))` = Constant `(R_(1))/(L_(1)) = (R_(2))/(L_(2)) = (1)/(1//2) = (4)/(L_(2)) rArr (1xx 2)/(1) = (4)/(L_(2))` `L_(2) = (4)/(2) therefore L_(2) = 2n` |
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