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Q.

A wire of 1Ω  has length of 1m.  it is stretched till its length increases by 25%.  The percentage change in resistance to the nearest integer is 

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a

56%

b

25%

c

76%

d

12.5%

answer is B.

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Detailed Solution

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Resistance  ρlA=ρlvol.  or Rl2

or  R1R2=l12l22

As length increases 25%,if l1=l  then l2=l+l×25100=1.25l

RR2=l21.25l2or,R2=1.5625R

% increases in resistance R=56%

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