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Given: All omnivores are herbivores. No herbivores are carnivores. Some carnivores are humans. Which conclusions are TRUE? I. Some humans are carnivores. II. No carnivores are omnivores. III. Some omnivores are carnivores.
Conclusion I is true (Some carnivores are humans implies some humans are carnivores). Conclusion II is true (omnivores are herbivores, and no herbivores are carnivores, so no carnivores are omnivores). Conclusion III is false (it contradicts the given statements). So I and II are true.
Initially, beam A's plane is parallel to the polaroid ($\theta_A = 0^\circ$) and B's is perpendicular ($\theta_B = 90^\circ$).
After $30^\circ$ rotation, the angles become $30^\circ$ and $60^\circ$ respectively.
Equal brightness means: $I_A \cos^2(30^\circ) = I_B \cos^2(60^\circ)$
$I_A \left( \frac{\sqrt{3}}{2} \right)^2 = I_B \left( \frac{1}{2} \right)^2 \implies I_A \cdot \frac{3}{4} = I_B \cdot \frac{1}{4} \implies \frac{I_A}{I_B} = \frac{1}{3}$.
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