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Two ends of a metallic wire of length l and radius r are connected to the terminals of a battery of emf E and the drift velocity of free electrons is found to be ‘V’ . What will be the drift velocity of free electrons when the ends of a metallic wire made of same material having length 2l and radius 2r are connected to the terminals of a battery of emf 2E?

a
2V
b
V/2
c
4V
d
V

detailed solution

Correct option is D

Vd=jne=iAne=ERAne=Eρ.lAAne=Eρnel∴V1V=E1Ell1=212=1⇒V1=V

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