In class we have obtained three spherical harmonics y10, y11 and y1−1, which are common eigenfunctions of the two commuting operators l 2 and lz. construct three linear combinations of these functions which are common eigenfunctions of the two commuting operators l 2 and lx. what are the eigenvalues associated with each of these functions?

Compare and contrast physical changes with chemical changes.

Nebulae are enormous clouds in outer space. they are made mostly of hydrogen gas, helium gas, and dust. some nebulae glow brightly, while others do not. the stars that people see are huge, bright balls of glowing gas. they are made mostly of hydrogen and helium. which statement correctly describes other ways in which nebulae and stars are different? a. stars can form inside a nebula but a nebula can never be produced by any star. b. a star always has a higher density than a nebula. c. stars can never form inside a nebula but a nebula can be produced by any star. d. a nebula always has a higher density than a star.

What state of matter is ice a. liquid b. element c. solid d. gas