Question

# 1.For the simple harmonic oscillator if the spring constant has the value of 500 N-1 m-1

a. Write

Schrodinger's equation

b. Write (but do not solve) the average position of the first excited state

2.Write Schrodinger's equation for a Li_{2 }molecule in the oxidation state 2+

3.For the particle with a mass m in a box with a length of 1 nm

a) Write Schrodinger's equation

b) Write the integral expression for the probability of finding the first excited state between 0.1 nm and 0.5 nm

4.For the hydrogen atom,

a. Write Schrodinger's equation

b. Write (but do not solve) the probability of finding an electron in a 2s orbital between a_{o} and 2a_{o}

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