PhysicsA wire of length 60 cm is bent into a circle with a gap of 1 cm at its ends. On heating it by 100°C, the length of the gap increases to 1.02 cm. α of material of wire is

A wire of length 60 cm is bent into a circle with a gap of 1 cm at its ends. On heating it by 100°C, the length of the gap increases to 1.02 cm. α of material of wire is

  1. A

    2 × 10–4/°C

  2. B

    4 × 10–4/°C

  3. C

    3 × 10–4/°C

  4. D

    1 × 10–4/°C

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    Solution:

    l1 = 1cm, l2 = 1.02cm ; ∆t = 100oC 
    we have α=l2-l1l1∆t=1.02-11(100)=2 x 10-4/°C

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