1. Intro to Physics Units

Rewrite 299,800,000 m/s in scientific notation.

The $5s$ electron in rubidium (Rb) sees an effective charge of $2.771e$. Calculate the ionization energy of this electron.

Time intervals measured with a physical stopwatch typically have an uncertainty of about 0.2 s, due to human reaction time at the start and stop moments. What is the percent uncertainty of a hand-timed measurement of 4.5 min?

How many protons and how many neutrons are there in a nucleus of the most common isotope of (a) silicon, ${}_{\phantom{0}14}^{28}Si$; (b) rubidium, ${}_{\phantom{0}37}^{85}Rb$; (c) thallium, ${}_{\phantom{0}81}^{205}Tl$?

The rotational energy levels of CO are calculated in Example $42.2$. If the energy of the rotating molecule is described by the classical expression $K=(\(\frac\)12)I\(\omega\)^2$, for the $l = 1$ level, what is the angular speed of the rotating molecule?

In the context of astronomical distances, how long does it take light to travel $1 \text{light-year}$ in terms of $\text{Earth years}$?

Which of the following units can be used to measure both velocity and speed?

At a temperature of $290$ K, a certain $p-n$ junction has a saturation current $I_S=0.500$ mA. Find the current at this temperature when the voltage is (i) $1.00$ mV, (ii) $-1.00$ mV, (iii) $100$ mV, and (iv) $-100$ mV.

A hydrogen atom undergoes a transition from a $2p$ state to the $1s$ ground state. In the absence of a magnetic field, the energy of the photon emitted is $122$ nm. The atom is then placed in a strong magnetic field in the $z$-direction. Ignore spin effects; consider only the interaction of the magnetic field with the atom's orbital magnetic moment. How many different photon wavelengths are observed for the $2p\to 1s$ transition? What are the $m_l$ values for the initial and final states for the transition that leads to each photon wavelength?

A hydrogen atom in the $5g$ state is placed in a magnetic field of $0.600$ T that is in the $z$-direction. Into how many levels is this state split by the interaction of the atom's orbital magnetic dipole moment with the magnetic field?

"(II) Use Table 1–3 to estimate the total number of protons or neutrons in the human body"

Consider an electron in the $N$ shell. What is the largest spin angular momentum this electron could have in any chosen direction? Express your answers in terms of $\(\hslash\)$ and in SI units.

The rotational energy levels of CO are calculated in Example $42.2$. If the energy of the rotating molecule is described by the classical expression $K=\left(\frac{1}{2}\right)I{\omega }^2$, for the $l=1$ level, what is the linear speed of each atom?

Electrons are accelerated through a potential difference of $750$ kV, so that their kinetic energy is $7.50\times {10}^5$ eV.

(a) What is the ratio of the speed $v$ of an electron having this energy to the speed of light, $c$?

(b) What would the speed be if it were computed from the principles of classical mechanics?

Which of the following best expresses the approximate distance between the Earth and the Sun in scientific notation, given as $1.5\times {10}^{11}m$?