An electron in the n = 4 state of a 5 nm wide infinite well makes a transition to the ground state, giving off energy in the form of a photon. What is the photon's wavelength?

Figure Mentioned shows two processes that take a gas from state i to state f. Show that $Q_{\mathrm{A}}-$ $Q_{\mathrm{B}}=p_1 V_{\mathrm{i}}$.

respond in one of the following ways: (a) State, “Cannot be solved with the Law of Sines.” (b) State, “No triangle is formed.” (c) Solve the triangle.

$$B = 42°, c = 18, C = 39°$$

A ruby laser emits light of wavelength 694.3 nm. If this light is due to transitions from the n = 2 state to the n = 1 state of an electron in a box, find the width of the box.

A collection of hydrogen atoms have all been placed into the $n=4$ excited state. What wavelengths of photons will be emitted by the hydrogen atoms as they transition back to the ground state?

Calculate the wavelength of the light emitted when an electron in a one-dimensional box of length $5.0 \mathrm{~nm}$ makes a transition from the $n=7$ state to the $n=6$ state.

The electron in a hydrogen atom makes a transition from the $n=4$ state to the $n=2$ state. Find the recoil speed of the hydrogen atom, assuming it was at rest before the photon was emitted.

Show that the sign of the exchange contribution $K_{12}$ is negative for the spin-triplet state in the first excited state of a system of two identical spin-1/2 particles

An electron in an excited state in a hydrogen atom can return to the ground state in two different ways: via a direct transition in which a photon of wavelength $\lambda_1$ is emitted.

Write a script file to simulate 100 plays of a game in which you ip two coins. You win the game if you get two heads, lose if you get two tails, and ip again if you get one head and one tail. Create three user -de ned functions to use in the script. Function ip simulates the ip of one coin, with the state s of the random number generator as the input argument, and the new state s and the result of the ip (0 for a tail and 1 for a head) as the outputs. Function ips simulates the ipping of two coins and calls ip. The input of ips is the state s, and the outputs are the new state s and the result (0 for two tails, 1 for a head and a tail, and 2 for two heads). Function match simulates a turn at the game. Its input is the state s, and its outputs are the result (1 for win, 0 for lose) and the new state s. The script should reset the random number generator to its initial state, compute the state s, and pass this state to the user-de ned functions.

State whether the expression $(\text{a}\cdot\text{b})\times(\text{c}\cdot\text{d})$ is meaningful. If not, explain why. If so, state whether it is a vector or a scalar.

State whether expression $(\mathbf{a} \times \mathbf{b}) \cdot(\mathbf{c} \times \mathbf{d})$ is meaningful. If not, explain why. If so, state whether it is a vector or a scalar.

State whether expression $(\mathbf{a} \cdot \mathbf{b}) \times(\mathbf{c} \cdot \mathbf{d})$ is meaningful. If not, explain why. If so, state whether it is a vector or a scalar.

Let $f$ be a scalar field and F a vector field. State whether (grad $f$) $\times$ (div F) is meaningful. If not, explain why. If so, state whether it is a scalar field or a vector field.