A wire of length 60 cm is bent into a circle with a gap of 1 cm at its ends . On heating by by $\;100^{0}C\;$ , If the length of the gap increases to 1.02 cm , $\;\alpha\;$ of the material of the wire is

Question

$(a)\;2 \times 10^{-4}/^{0}C\qquad(b)\;4 \times 10^{-4}/^{0}C\qquad(c)\;6 \times 10^{-4}/^{0}C\qquad(d)\;1 \times 10^{-4}/^{0}C$