What are the wavelength ranges in (a) the AM radio band $(540-1600 \mathrm{kHz})$, and (b) the FM radio band (88.0$108 \mathrm{MHz}$ )?

Many drugs decompose in blood by a first-order process.
(e) Calculate $E_a$ for decomposition of the antibiotic in part (d).

Calculate the total number of electrons that can occupy
three p orbitals.

Choose the letter of the best answer. Which of the following correctly describes a solid? A. The particles do not move at all. B. The particles are closely locked in position and can only vibrate in place. C. The particles are free to move about independently, colliding frequently. D. The particles are closely packed but have enough energy to slide past one another.

What are valence electrons? Where are they located in an atom? Why are they important?

Use the Theorem of Pappus to find the volume of the solid of revolution. The solid formed by revolving the region bounded by the graphs of y = 2√x-2, y = 0, and x = 6 about the y-axis.

$\rule{1cm}{1pt}$ and $\rule{1cm}{1pt}$ drugs are used to relieve anxiety and tension without inducing sleep.

A composite shaft consists of a solid steel ( $G=80$ GPa) core with an outside diameter of $40 \mathrm{~mm}$ covered by a brass ( $G=39\ \mathrm{GPa}$ ) tube with an inside diameter of $40 \mathrm{~mm}$ and a wall thickness of $20 \mathrm{~mm}$, which is in turn covered by an aluminum alloy ( $G=28\ \mathrm{GPa}$ ) sleeve with an inside diameter of $80 \mathrm{~mm}$ and a wall thickness of $10 \mathrm{~mm}$, as shown in given figure. The three materials are bonded so that they act as a unit. Find (a) The maximum shearing stress in each material when the assembly is transmitting a torque of $15\ \mathrm{kN} \cdot \mathrm{m}$. (b) The angle of twist in a $3-\mathrm{m}$ length when the assembly is transmitting a torque of $10 \mathrm{kN} \cdot \mathrm{m}$.

Two mass-spring systems with the same mass are undergoing oscillatory motion with the same amplitudes. System 1 has twice the frequency of system 2. How do

(a) their energies

(b) their maximum accelerations compare?

Solve the area of the shaded region.

Carry out the indicated calculation. (3 – 4i)(6 + 2i)

The region between the curve $y=1 /(2 \sqrt{x})$ and the x-axis from x = 1/4 to x = 4 is revolved about the x-axis to generate a solid.

Find the volume of the solid.

A shaft with a solid, circular cross section consisting of two segments is shown in part a of the figure. The left-hand segment has a diameter of $80 \mathrm{~mm}$ and length of $1.2 \mathrm{~m}$; the right-hand segment has a diameter of $60 \mathrm{~mm}$ and length of $0.9 \mathrm{~m}$.

Shown in part b of the figure is a hollow shaft made of the same material and having the same length. The thickness $t$ of the hollow shaft is d/l0, where $d$ is the outer diameter. Both shafts are subjeeted to the same torque. (a) If the hollow shaft is to have the same torsional stiffness as the solid shaft, what should be its outer diameter $d$ ? (b) If torque $T$ is applied at either end of both shafts and the bollow shaft is to have the same maximum shear stress as the solid shaft, what should be its outer diamteter $d$ ?

Ammonia In a piston/cylinder arrangement is at 700 kPa and 80$^{\circ} \mathrm{C}$. It is now cooled at constant pressure to saturated vapor (state 2), at which point the piston is locked with a pin. The cooling continues to −10$^{\circ} \mathrm{C}$ (state 3). Show the processes 1 to 2 and 2 to 3 on both a P–v and a T–v diagram.