Q16 / 143 · NTA Abhyas (JEE Main) 2020 · Physics · Current Electricity

A wire of length l has a resistance R. If half of the length is stretched to make the radius half of its original value, then the final resistance of the wire is

Figure

 

  • A
    9R
  • B
    5R
  • Correct answer
    C
    17R2
  • D
    3R

Solution

Figure

R= ρl A = ρl π r 2

π r 2 l 2 =π ( r 2 ) 2 l ′

l ′ =2l

R'=ρl'A'=ρ2lπr22=8R

R''=ρl2πr2=R2

Req=R'+R''=17R2

Hence, the correct answer is option: 'C'.

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