A rigid massless rod of length $6\ L$ is suspended horizontally by means of two elasticrods $PQ$ and $RS$ as given figure. Their area of cross section, young's modulus and lengths are mentioned in figure. Find deflection of end $S$ in equilibrium state. Free end of rigid rod is pushed down by a constant force . $A$ is area of cross section, $Y$ is young's modulus of elasticity
  • A$\frac {6FL}{4AY}$
  • B$\frac {9FL}{8AY}$
  • C$\frac {FL}{6AY}$
  • D$\frac {FL}{4AY}$
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