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In the visible region of the spectrum the rotation of the place of polarization is given by \( \theta=a+\frac{b}{\lambda^{2}} \). The optical rotation produced by a particular material is found to be \( 30^{\circ} \) per \( \mathrm{mm} \) at \( \lambda=5000 \AA \) and \( 50^{\circ} \) per mm at \( \lambda=4000 \AA \). The value of constant \( a \) will be
(A) \( +\frac{50^{\circ}}{9} \) per mm
(B) \( +\frac{9^{\circ}}{50} \) per mm
(C) \( -\frac{50^{\circ}}{9} \) per mm
(D) \( -\frac{9^{\circ}}{50} \) per \( \mathrm{mm} \)
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