Explore the virial theorem in hydrogen atom and three-dimensional quantum simple harmonic oscillator. in each of these cases identify the relationship between ? v? , ? t? , ? torb? , e of the system, where ? torb? is orbital kinetic energy. consider a generic quantum state for your analysis and convince yourself that all these quantities are of the same order of magnitude in a given system.

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect