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

Option 1 -

56%

Option 2 -

76%

Option 3 -

12.5%  

Option 4 -

25%

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    a month ago
    Correct Option - 1


    Detailed Solution:

    R i = ρ l A

    R f = ρ ( 1 . 2 5 l ) ( A / 1 . 2 5 ) = ( 1 . 2 5 ) 2 × ρ l A

    ⇒ R f = 1 . 5 6 2 5 × R i

    ⇒ R f − R l R l × 1 0 0 = 5 6 . 2 5 %

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