Assume that the currents IL(t) and IC(t) through the inductor and capacitor are not in phase with their respective voltages VL(t) and VC(t). In particular, for a sinusoidal voltage driver, which of the following statements is true? a. IL(t) and IC(t)both lag their respectivevoltages.
b. IL(t) and IC(t) both lead their respectivevoltages.
c. IL(t) leads VL(t) and IC(t) lags VC(t).
d. IL(t) lags VL(t) and IC(t) leads VC(t).

Water at room temperature of 20.0°c is poured into an aluminum cylinder which has graduation markings etched on the inside. the reading in the graduations is 300.0 cc. the cylinder with the water in it is then immersed in a constant temperature bath at a temperature of 100°c. what is the reading for the level of water on the graduations of the cylinder after the water and the cylinder reach thermal equilibrium with the bath? the volume coefficient of expansion of water is 2.07 x 10^-4 k-1, and the linear coefficient of expansion of aluminum is 23.0 x 10^-6 k-1. a) 305.0 cc b) 304.0 cc c) 303.5 cc d) 303.3 cc e) 304.5 cc

If the temperature were raised very high, classically what would we expect the heat capacity per object to be for this one-dimensional system? give a numerical value. chigh t = __ j/k/object (one reason for the discrepancy is that the high-temperature limit assumes that the number of oscillators is large (n > > 1), which is not the case in this tiny system.)

In positive numbers less than 1, the zeros between the decimal point and non zero are significant