Acircuit consists of a parallel-plate capacitor, an inductor, and a switch, which is initially open. the capacitor plates have an area of 1.00 × 10−4 m2 and are held 0.100 mm apart by a thin layer of barium titanate. the capacitor is charged to a potential difference of 14 v , and then the switch is closed. how much charge remains on the capacitor at the instant the energy stored in the inductor has increased to 80 % of its maximum?

Uranium has two naturally occurring isotopes. 238u has a natural abundance of 99.3% and 235u has an abundance of 0.7%. it is the rarer 235u that is needed for nuclear reactors. the isotopes are separated by forming uranium hexafluoride uf6, which is a gas, then allowing it to diffuse through a series of porous membranes. 235uf6 has a slightly larger rms speed than 238uf6 and diffuses slightly faster. many repetitions of this procedure gradually separate the two isotopes. what is the ratio of the rms speed of 235uf6 to that of 238uf6? express your answer to five significant figures.