What is the highest spectral order that can be seen if a grating with 6000 lines per cm is illuminated with 633-nm laser light? Assume normal incidence.

The normal distribution is a bell-shaped curve defined by y = e^{-x^2} .Use the golden-section search to determine the location of the inflection point of this curve for positive x.

Determine whether each of the following actions in buying, selling, and accounting for inventories is ethical or unethical. Give your reason for each answer. In applying the lower-of-cost-or-market rule to inventories, Tundra Financial Industries recorded an excessively low value for its ending inventory (below both cost and market). This allowed the company to pay less income tax for the year. Mercy Pharmaceuticals purchased a large amount of inventory shortly before year-end to increase the LIFO cost of goods sold and decrease reported income for the year. Marsten, Inc., delayed the purchase of inventory until after December 31, 2012, to keep 2012’s cost of goods sold from growing too large. The delay in purchasing inventory helped net income of 2012 to reach the level of profit demanded by the company’s investors. Dopler Sales Company deliberately overstated ending inventory in order to report higher profits (net income). Blake Corporation deliberately overstated purchases to produce a high figure for cost of goods sold (low amount of net income). The real reason was to decrease the company’s income tax payments to the government.

The early universe was radiation dominated, and the present universe is matter dominated. (a) At what temperature were the radiation and matter densities equal? (b) What was the age of the universe when this occurred?

In a particular diffraction grating pattern, the red component (700 nm) in the second-order maximum is deviated at an angle of $20^{\circ}.$ (a) How many lines per centimeter does the grating have? (b) If the grating is illuminated with white light, how many maxima of the complete visible spectrum would be produced?

Light falling normally on a 9700-line/cm grating is revealed to contain three lines in the first-order spectrum at angles of $31.2^{\circ}, 36.4^{\circ},$ and $47.5^{\circ} .$ What wavelengths are these?