A) \[{{10}^{-3}}\,V\,{{m}^{-1}}\]
B) \[{{10}^{-5}}\,V\,{{m}^{-2}}\]
C) \[2\times {{10}^{-3}}\,V\,{{m}^{-1}}\]
D) \[4\times \,{{10}^{-3}}\,V\,{{m}^{-1}}\]
Correct Answer: B
Solution :
Given \[I=1.0\,mA={{10}^{-3}}\,A\,;\,R\,=4\Omega \,;\,L=4m\] Potential drop across potentiometer wire, \[V=IR={{10}^{-3}}\times 4V\] Potential gradient, \[k=\frac{V}{L}=\frac{4\times {{10}^{-3}}}{4}={{10}^{-3}}V{{m}^{-1}}\]
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