Final answer:
The student's question is related to the projection angles for creating medium graduation in light patterns when working with diffraction gratings and involves understanding how these angles are affected by changes in the number of lines per centimeter.
Step-by-step explanation:
The question requires an understanding of physics principles related to diffraction grating and the manipulation of light waves. When working with diffraction gratings, calculating the angles of maxima is crucial for understanding the light patterns produced.
According to the information provided, it suggests that decreasing the number of lines per centimeter of a grating by a factor 'x' correlates to the angle of the 'x-order' maximum being identical to the first-order maximum when projected. In more practical applications, angles for various bright fringes formed by lasers through slits are determined using trigonometry and principles of wave interference.
For medium graduation, we would look at the angles that are related to the creation of the second-order maxima. This would involve understanding how changes in the number of lines per centimeter affect the projection angles that result in various orders of maxima.