You are given resistance wire of length 50cms and a battery of negligible resistance. In which of the. following cases is largest amount of heat generated

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when the wire is connected to the battery directly

when the wire is divided into two parts and both the parts are connected to the battery in parallel

when the wire is divided into four parts and all the four parts are connected to the battery in parallel

when only half of the wire is connected to the battery

answer is C.

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Detailed Solution

let .R be the resistance of the wire.(a) H1=V2tR(b) Resistance of each part will be R/2. When they are connected in parallel, the resistance will be R/4. Hence H2=4V2tR(c) In case of four wires connected in parallel, the resistance will be .R/16 ∴ H3=16V2tR(d) H4=V2t(R/2)=2V2⋅tRHence largest amount of heat will be generated in' case of four parts connected in parallel

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