A hydrogen atom initially in its ground state (n = 1) absorbs a photon and ends up in the state for which n = 3. (a) What is the energy of the absorbed photon? (b) If the atom returns to the ground state, what photon energies could the atom emit?

A hydrogen atom is in its first excited state (n = 2). Using the Bohr theory of the atom, calculate the potential energy.

(a) On a sketch of y = ln x, represent the left Riemann sum with n = 2 approximating $\int _ { 1 } ^ { 2 } \ln x d x.$ Write out the terms in the sum, but do not evaluate it. (b) On another sketch, represent the right Riemann sum with n = 2 approximating $\int _ { 1 } ^ { 2 } \ln x d x.$ Write out the terms in the sum, but do not evaluate it. (c) Which sum is an overestimate? Which sum is an underestimate?

A hydrogen atom is in its first excited state $(n=2)$. Using the Bohr theory of the atom, calculate (e) the potential energy

A hydrogen atom is in its first excited state (n = 2). Using the Bohr theory of the atom, calculate the linear momentum of the electron,

Write an open equation using one variable and division.

Decide whether each expression is equal to 1, -1, i, or -i. $(-i)^{2}$

What are the converse, inverse, and contrapositive of the statement? Which statements are true? If a figure is a rectangle with sides 2 cm and 3 cm, then it has a perimeter of 10 cm.

Water flowing in a wide horizontal channel at a flow depth of 56 cm and an average velocity of 9 m/s undergoes a hydraulic jump. Determine the head loss associated with the hydraulic jump.

Analyze

$$\lim _ { x \rightarrow \infty } f ( x )$$

and

$$\lim _ { x \rightarrow - \infty } f ( x )$$

for each function. f(x)=

$$\frac { 9 x ^ { 2 } + 4 } { ( 2 x - 1 ) ^ { 2 } }$$

Singly ionized helium ($He^+$) is a hydrogen-like atom. Determine the energy in eV required to raise a $He^+$ electron from the $n = 1$ to the $n = 2$ energy level.

A hydrogen atom is in its second excited state, $n=3$. Using the Bohr model of hydrogen, find the linear momentum of the electron in this atom.

Your Dad, who is 55, goes to the physician and the physician recommends that he have a colonoscopy. He wants to know what a colonoscopy is, why it was recommended, and what this test can prevent. What would you tell him?