$\begin{array}{1 1}(A)\;28m/s\\(B)\;56m/s\\(C)\;50m/s\\(D)\;\text{None of above}\end{array} $

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When the projectile is projected the elastic potential energy of string change in kinetic energy of missile.

$\large\frac{1}{2}$$mv^2=\large\frac{1}{2}$$\times Y\times (strain)^2\times volume$

$v^2=\large\frac{Y\times (strain)^2\times volume}{m}$

$\;\;\;\;=\large\frac{8\times 10^8\times (3/15)^2\times 2\times 15\times 10^{-6}\times 10^{-2}}{3\times 10^{-3}}$

$\;\;\;\;=\large\frac{8\times 2\times 15\times 10^3}{5^2\times 3}$

$\;\;\;\;=\large\frac{16}{5}$$\times 10^3$

$\;\;\;\;=3200$

$v=56.56m/s$

Hence (B) is the correct answer.

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