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Questions  

A constant voltage is applied between the two ends of a uniform metallic wire. Some heat is developed in it. The heat developed is doubled if

a
both the length and radius of the wire are halved
b
both the length and radius of the wire are doubled
c
the radius of the wire is doubled
d
the length of the wire is doubled

detailed solution

Correct option is B

Heat developed H=V2R×tHeat developed will be doubled when .R is halved.Further.R=ρlA=ρlπr2∴ H=V2×πr2ρl×tSo, heat produced will be doubled when both the length and radius of the wire are doubled

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