9. The speed of sound in oxygen, at $0^{\circ}\mathrm{C}$, is $317\mathrm{m/s}$. At the same temperature and pressure, the speed of sound in hydrogen, in $\mathrm{m/s}$, is closest to which one of the following?

(A)79

(B)159

(C)634

(D)317

(E)1268

10. Suppose that a simple pendulum consists of a small $60.0\mathrm{g}$ at the end of a cord of negligible mass. If the angle $\theta$ between the cord and the vertical is given by $\theta = (0.080\mathrm{rad})\cos[(4.43\mathrm{rad/s})x + \phi]$, then the pendulum's length is(A)$314\mathrm{cm}$(B)$50\mathrm{cm}$(C)$100\mathrm{cm}$(D)$157\mathrm{cm}$(E)$628\mathrm{cm}$

11. The figure in the bottom of the page shows particles 1 and 2, each of mass m, attached to the ends of a rigid massless rod of length $L_{1} + L_{2}$, with $L_{1} = 20\mathrm{cm}$ and $L_{2} = 80\mathrm{cm}$. The rod is held horizontally on the fulcrum and then released. As a consequence, the magnitude of the initial acceleration of particle 2 is (A)$\frac{6}{17}g$(B)$\frac{3}{17}g$(C)$\frac{12}{17}g$(D)$\frac{3}{34}g$(E)None of the above

12. The Maxwell speed distribution P(v) is a function such that P(v)dv gives the fraction of molecules with speeds in the interval dv at speed v. One has$P(v) = 4\pi \left(\frac{M}{2\pi RT}\right)^{3/2} v^2 e^{-Mv^2 / 2RT}$. The root-mean-square speed of the molecule is defined as $v_{rms}^2 \equiv \int v^2 P(v) dv$, while the average speed of the molecule is defined as $v_{avg} \equiv \int v P(v) dv$. Furthermore the most probable speed $v_p$ is the speed at which $P(v)$ is maximum. We have (A)$v_{p} > v_{rms} > v_{avg}$(B)$v_{p} > v_{avg} > v_{rms}$(C)$v_{rms} > v_{p} > v_{avg}$(D)$v_{avg} > v_{rms} > v_{p}$(E)None of the above

13. A point charge -q with mass m is placed on the axis of a thin ring at a distance x from its center. The ring has radius R and uniformly distributed charge Q. If the point charge is allowed to move along the axis of the ring, what is its oscillating frequency due to electrostatic force? Assume R >> x. (A)$\frac{1}{2\pi} \sqrt{\frac{qQ}{\varepsilon_0 m R^3}}$(B)$\frac{1}{2\pi} \sqrt{\frac{qQ}{4\pi \varepsilon_0 m R^3}}$(C)$\frac{1}{4\pi \varepsilon_0} \sqrt{\frac{qQ}{m R^3}}$(D)$\frac{1}{\varepsilon_0} \sqrt{\frac{qQ}{m R^3}}$(E)None of the above

14. Two solid spherical metal balls A and B have radius a and b respectively. Ball A initially has total charge Q and ball B is neutral. They are now connected by a conducting wire. How much charge will flow from ball A to ball B?(A)$\left(\frac{b^2}{a^2 + b^2}\right) Q$(B)$\left(\frac{b}{a}\right) Q$(C)$\left(\frac{b}{a + b}\right) Q$(D)$\left(\frac{b^2}{a^2}\right) Q$(E)None of the above

15. Four identical large thin metal plates are separated by three layers of dielectric material with dielectric constant K. Each metal plate has area A and the thickness of each dielectric layer is d. The outer two plates are connected to point a, and the inner two plates are connected to point b. Find the capacitancebetween point a and b.(A)\(\frac{K\varepsilon_0A}{d}\)(B)\(\frac{K\varepsilon_0A}{2d}\)(C)\(\frac{3K\varepsilon_0A}{d}\)(D)\(\frac{2K\varepsilon_0A}{d}\)(E)None of the above

16. A square pyramid consists of eight equal-length edges as shown in the figure. Each edge has resistance R. Find the equivalent resistance between point A and B. (A)\(\frac{1}{2} R\)(B)\(\frac{3}{4} R\)(C)\(\frac{1}{6} R\)(D)R(E)None of the above

17. The Hall effect is used in solid-state physics to measure(A)charge to mass ratio(B)Fermi energy(C)magnetic susceptibility(D)the sign of charge carrier(E)None of the above

18. The wire shown in the right figure is infinitely long. It is bent at right angle and carries current I. Find the magnitude of the magnetic field at point P which is at a distance a from the wire. (A)\(\frac{\mu_0 I}{4\pi a} (1 + \sqrt{2})\)(B)\(\frac{\mu_0 I}{2\pi a} (1 + \sqrt{2})\)(C)\(\frac{\sqrt{2} \mu_0 I}{4\pi a}\)(D)\(\frac{\mu_0 I}{2\pi a}\)(E)None of the above

19. The soap-bubble film has index of refraction $n = 1.5$. There is air both inside and outside the bubble. What wavelength (in air) of visible light is most strongly reflected from a point on a soap bubble where its thickness is 100 nm? (Assume normal incidence) (A)400 nm(B)500 nm(C)600 nm(D)450 nm(E)None of the above

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