Show that the radial function rnt of hydrogen atom has (n -1-1) roots (not taking r=0 and = x). show that for eigenstates of hamiltonian with = n- 1 , n, ln 1,mrn, n 1,m)an(n is fulfilled.

step by step process and good handwriting.

What color of light must blue light mix with to create white light? a. yellow b. white c. blue d. green

At time t=0, a particle is located at the point (3,6,9). it travels in a straight line to the point (5,2,7), has speed 8 at (3,6,9) and constant acceleration 2i−4j−2k. find an equation for the position vector of the particle.

Apulley system is used to lift a 2,000 newton engine up a distance of 3 meters. the operator must apply a force of 250 newtons to the chain of the pulley system to lift the motor. to lift the engine 3 meters, the operator must pull a total of 30 meters of chain through the pulley system. what is the value of di?