A Kerr cell is positioned between two crossed Nicol prisms so that the direction of electric fie...

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A Kerr cell is positioned between two crossed Nicol prisms so that the direction of electric field \( \mathbf{E} \) in the capacitor forms an angle of \( 45^{\circ} \) with the principal directions of the prisms. The capacitor has the length \( I=10 \mathrm{~cm} \) and is filled up with nitrobenzene. Light of wavelength \( \lambda=0.50 \mu \) mpasses through the system. Taking into account that in this case the Kerr constant is equal to \( B=2.2 \times 10^{-10} \mathrm{~cm} / \mathrm{V}^{2} \), find:
how many times per second light will be interrupted when a sinusoidal voltage of frequency \( v=10 \mathrm{MHz} \) and strength amplitude \( E_{m}=50 \mathrm{kV} / \mathrm{cm} \) is applied to the capacitor.
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