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Questions  

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

a
when the wire is connected to the battery directly
b
when the wire is divided into two parts and both the parts are connected to the battery in parallel
c
when the wire is divided into four parts and all the four parts are connected to the battery in parallel
d
when only half of the wire is connected to the battery

detailed solution

Correct option is C

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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