1. A microaccelerometer with a proof mass of 300 ng and a resonant frequency of 25 kHz is critically damped and is in thermal equilibrium at room temperature. What is the root mean-square amplitude of the fluctuation of the position of the proof mass?
2. A flux of particles is diffusing in a linear concentration gradient. By analogy to shot noise, develop an expression for the spectral density of the noise component of the diffusion current.