Answer to Question #139355 in Physics for victory

Question

If the ratio of final and initial intensities for 0.1%-solution of L-alanine is 5/8 (length of beaker is 15 mm). determine the ratio of intensities for 0.2% - L-alanine solution in the beaker with length of 23 mm.

Answer 1

The ratio of final and initial intensities is

$$\frac{I_2}{I_1}=\frac{5}8=\frac{\omega k}{d^2}=\frac{0.1k}{15^2},\\\space\\ k=1406.25\text{ mm}^2/\%.$$

For 0.2% - L-alanine solution in the beaker with length of 23 mm:

$$\frac{I_2}{I_1}=\frac{\omega k}{d^2},\\\space\\ \frac{I_2}{I_1}=\frac{0.2 \cdot1406.25}{23^2}=0.53.$$