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Questions  

A metallic wire has resistance R. Some part of it is stretched so that its   length becomes doubled. Now the resistance of the  total wire becomes4R3 . The ratio of the lengths of unstretched part  and stretched part of initial wire is 

a
2:1
b
8:1
c
2:7
d
4:1

detailed solution

Correct option is B

suppose the resistance of the stretched part is R1 and that of unstretched  part is R2.   then R1+R2 =R------(1)after stretching 4 R1+R2 =4R3  -----(2)       if length is doubled resistance becomes 4 timessolving we get 3R1=R3  R1=R9  then R2=89R2R1=81

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