A constant voltage is applied between the two ends of a uniform metallic wire. Same heat is developed in it. The heat developed is doubled if
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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
answer is B.
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Detailed Solution
Heat developed H =V2R×tHeat developed will be doubled when .R is halvedFurther. 'R= =ρlA=ρlπr2∴ H=V2×πr2ρl×tSo heat produced will be doubled when both the length and radius of the wire are doubled