Question 1

Which equation correctly expresses the Ideal Gas Law for $$n$$ moles of a gas?

Accepted Answer

$$PV = nRT$$

Question 2

A sample of gas at constant pressure is heated from $$273\,K to$$ $$546\,K. $$What happens to its volume?

Accepted Answer

It doubles

Question 3

Which formula gives the average kinetic energy of a molecule in an ideal gas?

Accepted Answer

$$\overline{K} = \frac{3}{2}k_B T$$

Question 4

According to the first law of thermodynamics, which equation relates the change in internal energy $$\Delta E to $$heat $$Q$$ and work $$W$$?

Accepted Answer

$$\Delta E = Q - W$$

Question 5

A piston compresses a gas adiabatically. What happens to the temperature and internal energy of the gas?

Accepted Answer

Both increase

Question 6

Which equation describes the entropy change $$\Delta S$$ for a reversible process between two temperatures $$T_1$$ and $$T_2$$?

Accepted Answer

$$\Delta S = nR \ln \left( \frac{T_2$}{T_1$} \right)$$

Question 7

What is the efficiency $$e of a $$Carnot engine operating between a hot reservoir at $$T_H$$ and a cold reservoir at $$T_C$$?

Accepted Answer

$$e = 1 - \frac{T_C}{T_H}$$

Question 8

Which law states that the net electric flux through a closed surface is proportional to the enclosed charge?

Accepted Answer

Gauss's Law

Question 9

A parallel plate capacitor has plates of area $$A$$ separated by distance $$d. $$What is its capacitance $$C in $$vacuum?

Accepted Answer

$$C = \$$varepsilon_0$$ \frac{A}{d}$$

Question 10

Which equation represents Ohm's Law for a resistor?

Accepted Answer

$$V = IR$$

Question 11

A wire carries a current $$I in a $$magnetic field $$B$$ perpendicular to the wire. What is the magnitude of the force on a length $$L of $$the wire?

Accepted Answer

$$F = ILB$$

Question 12

Which equation gives the energy stored in a capacitor with charge $$Q$$ and capacitance $$C$$?

Accepted Answer

$$U = \frac{1}{2} \frac{Q^2$}{C}$$

Question 13

What is the time constant $$	au$$ for an $$RC$$ circuit?

Accepted Answer

$$	au = RC$$

Question 14

Which equation describes the induced emf $$\mathcal{E} in a $$coil of $$N$$ turns with changing magnetic flux $$\Phi_B$$?

Accepted Answer

$$\mathcal{E} = -N \frac{d\Phi_B}{dt}$$

Question 15

A charged particle moves perpendicular to a uniform magnetic field. What is the radius $$r of $$its circular path?

Accepted Answer

$$r = \frac{mv}{qB}$$

Question 16

Which equation gives the root-mean-square speed $$v_{rms} of $$molecules in an ideal gas?

Accepted Answer

$$v_{rms} = \sqrt{\frac{3k_B T}{m}}$$

Question 17

Which equation describes the electric field $$E at a $$distance $$r$$ from a point charge $$q$$?

Accepted Answer

$$E = \frac{1}{4\pi\$$varepsilon_0$$} \frac{q}{r^2$}$$

Question 18

Which equation gives the magnetic flux $$\Phi_B$$ through a surface of area $$A in a $$uniform magnetic field $$B$$?

Accepted Answer

$$\Phi_B = B A \cos 	heta$$

Question 19

A resistor of resistance $$R$$ and a capacitor of capacitance $$C$$ are connected in series to a battery. What is the voltage across the capacitor after a long time?

Accepted Answer

It equals the battery voltage

Physics 7B: Thermodynamics, Kinetic Theory, and Electromagnetism Study Notes

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