21. A uniform and constant magnetic field B is directed into the page within a rectangular region as shown in the figure. A wire in the shape of a quarter-circle is rotated at a constant angular velocity about an axis A. Which of the following graph represents the emf $\varepsilon$ induced in the wire as a function of time?

1. Assuming that you accelerate your car from $10\mathrm{m/s}$ to $25\mathrm{m/s}$ in a distance of $87.5\mathrm{m}$ with a constant acceleration, then the force your body exerts on the car seat (let your mass be $75\mathrm{kg}$) is(A)$550\mathrm{N}$(B)$1100\mathrm{N}$(C)$225\mathrm{N}$(D)$112.5\mathrm{N}$(E)$337.5\mathrm{N}$

2. The initial temperature and volume of an ideal gas are $127^{\circ}\mathrm{C}$ and $23.6\mathrm{L}$ respectively. After an adiabatic expansion, the final temperature and volume of the gas are $27^{\circ}\mathrm{C}$ and $56\mathrm{L}$ respectively. The constant-volume and constant-pressure heat capacities of this ideal gas are(A)$C_V = 1.5R, C_P = 2.5R$(B)$C_V = 2.0R, C_P = 3.0R$(C)$C_V = 2.5R, C_P = 3.5R$(D)$C_V = 3.0R, C_P = 4.0R$(E)$C_V = 3.5R, C_P = 4.5R$

3. The molecular bonding in a diatomic molecule such as the nitrogen $(\mathbf{N}_2)$ molecule can be modeled by the Lennard-Jones potential, which has the form $U(x) = 4U_0\left(\left(\frac{x_0}{x}\right)^{12} - \left(\frac{x_0}{x}\right)^6\right)$, where $x$ is the separation distance between the two nuclei and $x_0$, and $U_0$ are constants. The equilibrium separation $x_0$, which is the value of $x$ for which the two atoms experience zero force from each other, is equal to(A)$2^{-1/6}x_0$(B)$3^{1/6}x_0$(C)$3^{1/3}x_0$(D)$3^{-1/6}x_0$(E)$2^{1/6}x_0$

4. Let us suppose that $n$ mole of ideal gas has gone through a free expansion $(T_i = T_f)$ from an initial volume $V_i$ to the final volume $V_f$. The entropy change in such a process can be expressed as a function $\Delta S(n, V_i, V_f)$. One has $\Delta S(3, 200\mathrm{cm}^3, 600\mathrm{cm}^3)$ closest to (A)4.50 R(B)1.65 R(C)2.25 R(D)3.30 R(E)6.60 R

5. A liquid of density $900\mathrm{kg/m^3}$ flows through a horizontal pipe that has a cross-sectional area of $1.90\times 10^{-2}\mathrm{m^2}$ in region A and a cross-sectional area of $9.50\times 10^{-2}\mathrm{m^2}$ in region B. The pressure difference between two regions is $7.20\times 10^3$ Pa. The volume flow rate $R_V$ of the liquid is(A)$0.776\mathrm{m^3/s}$(B)$0.0776\mathrm{m^3/s}$(C)$1.552\mathrm{m^3/s}$(D)$0.1552\mathrm{m^3/s}$(E)$0.3104\mathrm{m^3/s}$

6. The mass and radius of a spherical planet with a uniform density are M and R respectively. The planet constantly rotates with a period T. The free-fall acceleration $g_{p}$ at the pole of the planet (where the rotation axis passes through) and the free-fall acceleration $g_{e}$ at the equator of the planet are related to each other by(A)$g_{e} - g_{p} = \frac{4\pi^{2}R}{T^{2}}$(B)$g_{e} - g_{p} = \frac{2\pi^{2}R}{T^{2}}$(C)$g_{e} - g_{p} = -\frac{2\pi^{2}R}{T^{2}}$(D)$g_{e} - g_{p} = -\frac{4\pi^{2}R}{T^{2}}$(E)None of the above

7. One end of a $2.0\mathrm{m}$ long uniform meter stick is initially held at rest at $\theta = 40^{\circ}$ while the other end of the stick is on the floor. The meter stick is then released. Assuming the end on the floor does not slip, then the angular speed of the stick at the time when the stick is about to hit the floor is closest to (A)3.1 rad/s(B)6.2 rad/s(C)4.5 rad/s(D)9.0 rad/s(E)13.5 rad/s

8. A rigid body rotates at 300 revolutions per minute around an axis which goes through the origin and points into the first octant, making an angle of $60^{\circ}$ with both the x- and y-axis. The velocity of a point $\vec{r} = (0,0,2)\mathrm{cm}$ is (A)$\vec{v} = (0,0,600)\mathrm{cm/s}$(B)$\vec{v} = (0,19.7,14.8)\mathrm{cm/s}$(C)$\vec{v} = (-31.4,31.4,0)\mathrm{cm/s}$(D)$\vec{v} = (31.4,31.4,0)\mathrm{cm/s}$(E)$\vec{v} = (31.4,-31.4,0)\mathrm{cm/s}$

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)$628\mathrm{cm}$

115年 - [無官方正解]115 國立中山大學_碩士班考試入學招生考試試題_物理系：普通物理#138395

115年 - [無官方正解]115 國立臺灣大學_碩士班招生考試：普通物理學#137725

114年 - [無官方正解]114 國立成功大學_碩士班招生考試_物理學系：普通物理學#138760

114年 - [無官方正解]114 國立中山大學_碩士班招生考試試題_物理系：普通物理#137736

114年 - 114 台灣聯合大學系統_碩士班招生考試：普通物理#137733

114年 - 114 臺灣綜合大學系統_學士班轉學生聯合招生考試試題：普通物理Ａ#129365

114年 - 114 臺灣綜合大學系統_學士班轉學生聯合招生考試試題：普通物理Ｂ#129362

114年 - 114 臺灣綜合大學系統_學士班轉學生聯合招生考試試題：普通物理Ｃ#129360

114年 - [無官方正解]114 國立臺灣大學_轉學生招生考試試題：普通物理學(A)#128199

114年 - [無官方正解]114 台灣聯合大學系統_學士班轉學生考試試題：普通物理#128198