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Q.

Two wires of the same material have length  6 cm and 10 cm   and radii 0.5mm and 1.5mm respectively. They are connected in series across a battery of  16V.  The potential difference. across the shorter wire is

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a

27  V

b

10 V

c

13.5  V

d

5  V

answer is B.

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Detailed Solution

Length l1=6cm Length l2=10cm Radius r1=0.5mm Radius r2=1.5mm
V=iRiρℓAV1V2=12×r2r12275

V1+V2=16;V2=5V127

V1+5V127=16 V1=16×2732=13.5V

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Two wires of the same material have length  6 cm and 10 cm   and radii 0.5 mm and 1.5 mm respectively. They are connected in series across a battery of  16 V.  The potential difference. across the shorter wire is