A film of soap solution of surface tension \[\sigma \] is created inside a wire in the form of circular ring of radius r .A thin and light elastic thread is fixed in un- stretched elastic state between two diametrically opposite points A and B on the wire frame . Young's modulus of the material of the wire is Y and cross section is s.Now the film on one side is broken by pricking with a sharp needle. The elongation in the elastic thread is x. Take necessary approximations.

\[x=\sqrt[n]{\frac{a}{b}\frac{(\sigma^{c}r^{d})}{Y^{e}s^{f}}}\] find a+b+c+d+e+f where a,b,c,d,e,f are all integers

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