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Q.

Same mass of copper is drawn into 2 wires of 1mm thick and 3mm thick. Two wires are connected in series and current is passed. Heat produced in the wires is the ratio of

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a

3 : 1

b

9 : 1

c

81 : 1

d

1 : 81

answer is C.

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Detailed Solution

Mass (m) =V× d ; m=πr2ld
m,π&d are constant; l∝1r2;R=ρlπr2
∴R∝lr2∝1/r2r2∝1r4
R∝l2;H=i2Rt (In series I is constant)
H∝R∝1r4 ∴H1H2=r24r14=314=811

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