A box contains N identical gas molecules equally divided between its two halves. For N = 100, what is the percentage of the time the system spends in the central configuration?

The intensity of the central maximum in the interference pattern of a Young's double-slit experiment is about four times that of either light wave. Is this a violation of the law of conservation of energy?

Find the measure of a central angle $\theta$ (in radians) that intercepts an arc of length $s= 20 \textrm{ mm}$ on a circle with radius $r=100 \textrm{ cm}$ .

Prove that the area of a circular sector of radius r with central angle $\theta$ is $A=\frac{1}{2} r^{2} \theta,$ where $\theta$ is measured in radians.

Draw a Lewis structure for each of the following molecules or ions. Describe the electron-pair geometry and the molecular geometry around the central atom.\

$$NH _2 Cl$$

Find the length of the arc intercepted by the given central angle $\alpha$ in a circle of radius $r$.

$$\alpha=\frac{\pi}{4}, r=12 \mathrm{ft}$$

A sector on a pie chart with a central angle of $45^{\circ}$ corresponds to what percentage of the data? (A) 8%, (B) 12.5%, (C) 15%, (D) 25%, (E) 45%.

Draw a Lewis structure for each of the following molecules or ions. Describe the electron-pair geometry and the molecular geometry around the central atom.\

$$\mathrm{SF}_4$$

What is the angular half-width (from central maximum to first minimum) of a diffracted beam for a slit width of (a) $\lambda$; (b) $5 \lambda$; (c) $10 \lambda$ ?

Sketch the resonance structures for the $N _2 O$ molecule. Is the hybridization of the $N$ atoms the same or different in each structure? Describe the orbitals involved in bond formation by the central $N$ atom.

A box contains N identical gas molecules equally divided between its two halves. For N = 200, what is the percentage of the time the system spends in the central configuration?

A circle has a radius of 5.2 meters. Determine the area of the segment formed by a chord with a central angle of $120^{\circ}$. Round your answer to the nearest hundredth.

Predict the shape, state the hybridization of the central atom, and give the ideal bond angle(s) and any expected deviations for
(c) $\mathrm{SeO}_4{ }^{2-}$

(a) For each data set, find the median, midrange, and geometric mean. (b) Are they reasonable measures of central tendency? Explain.

Class absences ($12$ students) $\quad 0,0,0,0,0,1,2,3,3,5,5,15$