In a double-slit experiment, the distance between slits is 0.5.0 mm and the slits are 2.0 m from the screen. Two interference patterns can be seen on the screen: one due to light of wavelength 480 nm, and the other due to light of wavelength 600 nm. What is the separation on the screen between the second -order (m = 3) bright fringes of the two interference patterns?(show the ray diagrams)

Consider a water reservior. The resrvoir graduallly loses water, because people insist on showering, washing clothes, etc.  The "use rate" R is the rate at which consumers use the water.   On April 13, between 1pm and 2pm, R is 5-gallons per second. How much water was drained from the reservoir between 1pm and 130pm?  At midnight, when everyone was asleep, a big industrial water user suddenly becomes active. Let A denote the amount of water taken from the reservoir (in gallons),  with A = 0 at midnight. It turns out that A=2t2 with t expressed in seconds. Given this information, calculate R, the use rate, at t = 10 s.

Solution to HW problem.

In general, how can you change an extensive property into an intensive property? Can you please provide a concrete example to support your proposal?