電磁波現象與古典力學中的能量功率應用

📝 歷屆考古題

• 115年 hce_nthu 第31題
  A space probe is equipped with a large, perfectly reflecting solar sail. At the probe's location, th…
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• 115年 hce_nthu 第32題
  A light ray enters a transparent tank filled with a liquid of refractive index $n_L = 1.5$. At the b…
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• 115年 hce_nthu 第34題
  The depth of a dam is $200.0 \text{ m}$. What is the pressure (atm) at its bottom? (…
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• 115年 hce_nthu 第35題
  John is attempting to knock over a heavy wooden target that is hinged at its base. He is given two b…
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• 115年 hce_nthu 第37題
  A parallel-plate capacitor is connected to an ideal battery that maintains a constant voltage $V$. A…
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• 115年 hce_nthu 第38題
  X-ray imaging relies on the fact that different biological tissues have distinct attenuation coeffic…
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• 115年 hce_nthu 第39題
  To visualize a virus with a diameter of approximately $20 \text{ nm}$, a researcher uses a transmiss…
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• 115年 hce_nthu 第41題
  A nonrelativistic charged particle (speed $\ll c$) with mass $m$ and charge $+q$ moves with velocity…
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• 115年 hce_nthu 第42題
  A circuit consists of a single inductor $L$ and a single capacitor $C$, with natural angular frequen…
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• 115年 hce_nthu 第43題
  A string of length $L = 0.75 \text{ mL}$ is fixed at both ends and vibrates in a standing-wave patte…
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• 115年 hce_nthu 第44題
  In a single-slit diffraction experiment, monochromatic light of wavelength $\lambda$ passes through…
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• 115年 hce_nthu 第45題
  A particle moves along the $x$-axis under the influence of a potential energy function $U(x) = x^4 - 8x^2$…
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• 115年 hce_nthu 第46題
  A deuteron has the same charge as a proton ($q_d = q_p$), but twice the mass ($m_d = 2m_p$). Both pa…
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• 115年 hce_nthu 第47題
  A planet orbits a star in an elliptical path under a central gravitational force. The length of the…
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• 115年 hce_nthu 第48題
  A bullet of mass $m$ moving horizontally with initial speed $v_0$ strikes a stationary block of mass…
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• 115年 hce_nthu 第51題
  Two people, A and B, each of mass $70 \text{ kg}$, are inside an elevator. Person A stands on the fl…
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• 115年 hce_nthu 第52題
  A particle of extremely small mass $m$ is confined in a one-dimensional infinite potential well (box…
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• 115年 hce_nthu 第53題
  A cylindrical tube of length $17.0 \text{ cm}$ is closed at one end and open at the other. Assuming…
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• 115年 hce_nthu 第54題
  A uniform rod of mass $M$ and length $L$ is pivoted at one end and allowed to swing freely under gra…
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• 115年 hce_nthu 第55題
  Two copper wires are connected in parallel. Both wires have the same resistivity,…
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• 115年 hce_nthu 第56題
  A soap film (refractive index of $n \approx 1.35$) is surrounded by air and illuminated by normally…
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• 115年 hce_nthu 第57題
  An electric kettle with resistance $12 \text{ }\Omega$ is connected to a $110 \text{ V (rms)}$, $60 \text{ Hz AC}$…
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• 115年 hce_nthu 第58題
  An elevator starts from rest and accelerates upward with constant acceleration $a = 2g$. A small bal…
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• 115年 hce_nthu 第59題
  Eight resistors of equal length, each of resistance $R$, are connected along the edges of a regular…
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• 115年 hce_nthu 第60題
  A microscope has an objective lens with an aperture diameter of $2.6 \text{ mm}$ and a focal length…
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• 114年 hce_nthu 第31題
  The capacitor in the figure (right) is initially uncharged. The emf of the battery is $\varepsilon= \text{10 volts}$…
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• 114年 hce_nthu 第32題
  A particle collides with an identical particle at rest relative to an inertial frame $S$. These two…
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• 114年 hce_nthu 第33題
  The wave function of a transverse wave propagating on a rope is $y(x, t) = 5\sin(\pi x + 4\pi t)$, w…
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• 114年 hce_nthu 第34題
  A conductor of radius $r$, length $l$, and resistivity $\rho$ has resistance $R$. Assume that the vo…
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• 114年 hce_nthu 第37題
  A neutron has a mass of $1.67 \times 10^{-27}\text{ kg}$. The de Broglie wavelength is $1.4 \times 10^{-10}\text{ m}$…
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• 114年 hce_nthu 第38題
  For designing an anti-reflective coating for a glass surface in an optical device at a free-space wa…
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• 114年 hce_nthu 第39題
  A coin of mass $m$ and radius $R$ rolls steadily without slipping on a moving pad. Assume that the c…
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• 114年 hce_nthu 第40題
  What is the capacitance $C$ of an isolated conductive spherical shell of radius $R$ in free space wi…
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• 114年 hce_nthu 第41題
  A long, straight conductor carries $\text{1.0 A}$ of current. At what distance from the axis of the…
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• 114年 hce_nthu 第44題
  According to the Drude model, the speed of charge carriers driven in conducting media can be describ…
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• 114年 hce_nthu 第45題
  For a sound wave travelling in a cylinder along the $x$-direction, a snapshot of the displacement fi…
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• 114年 hce_nthu 第46題
  Gold ($\text{Au}$) and tin ($\text{Sn}$) wires are joined together at both ends. The length ratio of…
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• 114年 hce_nthu 第47題
  For a classical electromagnetic plane wave travelling in the $x$ direction in a vacuum (with speed $c$…
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• 114年 hce_nthu 第48題
  A bar magnet approaches a conducting loop from the left with its north pole directed towards the loo…
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• 114年 hce_nthu 第49題
  Which of the following values is closest to the wavelength (nm) of a photon with energy $\text{1.0 eV}$…
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• 114年 hce_nthu 第50題
  A parallel-plate capacitor has a capacitance of $\text{100 pF}$, a plate area of $\text{100 cm}^2$,…
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• 114年 hce_nthu 第51題
  As shown in the figure on the right, a particle with charge $Q$ is located at a small distance $\delta$…
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• 114年 hce_nthu 第52題
  As shown in the figure below, a uniform thin stick of mass $M$ and length $L$ is held vertically by…
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• 114年 hce_nthu 第53題
  As shown in the figure below, particle 1 of mass $m_1$ is sliding to the right along the $x$-axis on…
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• 114年 hce_nthu 第54題
  Two planets of equal mass orbit a star. Planet A has a smaller orbital radius than planet B. Which o…
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• 114年 hce_nthu 第56題
  Let us consider aspherical capacitor consisting of two concentric metal spherical shells of radii $\text{R}_1$…
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• 114年 hce_nthu 第57題
  Which of the following statements is *not* true?
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• 114年 hce_nthu 第58題
  As shown in Figure (b) below, a point-like ball with initial velocity $v_0$ is inclined at an angle…
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• 114年 hce_nthu 第59題
  Which of the following statements about Maxwell's equations is *false*?
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• 114年 hce_nthu 第60題
  Which of the following values is closest to the inductance required to store $\text{1.0 kWh}$ of ene…
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• 113年 hce_nthu 第33題
  The switch S in the circuit on the right is closed at $t = 0$. What is the voltage ($V_c$) across th…
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• 113年 hce_nthu 第34題
  What is the key factor of the Sun that directly determines our human (and many animals) adaptation a…
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• 113年 hce_nthu 第35題
  Which of the following phenomena is not due to the tunneling effect?
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• 113年 hce_nthu 第36題
  Which of the following functions is not a solution to the one-dimensional wave equation?
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• 113年 hce_nthu 第37題
  Which of the following physical quantities has its unit as newton (N)?
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• 113年 hce_nthu 第38題
  As shown on the right, a ball of mass $m$ is attached to a pivot fixed in place by means of a string…
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• 113年 hce_nthu 第39題
  Which of the following statements about gravity and planet motion is correct?
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• 113年 hce_nthu 第40題
  A uniform disk of mass $m$ and radius $R$ is rotating about its symmetric axis at an angular velocit…
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• 113年 hce_nthu 第41題
  Two pulses traveling on the same string are described by $y_1 = \frac{5}{(3x-4t)^2+2} \qquad y_2 = \frac{-5}{(3x+4t-6)^2+2}$…
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• 113年 hce_nthu 第42題
  A siphon tube is used to transport liquid from a higher location to a lower location without electri…
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• 113年 hce_nthu 第43題
  Which of the following statements about modern physics is incorrect?
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• 113年 hce_nthu 第44題
  Four identical large thin metal plates are separated by three layers of dielectric material with die…
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• 113年 hce_nthu 第45題
  A uniformly charged insulating rod is bent into the shape of a semicircle as shown on the right. The…
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• 113年 hce_nthu 第46題
  Two particles are confined to move along frictionless tracks as depicted in the figure on the right,…
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• 113年 hce_nthu 第47題
  A typical small flashlight contains two batteries, each with an emf of $1.5\text{ V}$, connected in…
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• 113年 hce_nthu 第50題
  Charges are distributed non-uniformly in between the space of two infinitely long concentric cylinde…
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• 113年 hce_nthu 第51題
  For a particle in a three-dimensional cubic box with infinite potential walls, its energy level depe…
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• 113年 hce_nthu 第52題
  An RLC circuit composed of a resistor, inductor, and capacitor connected in series with an AC voltag…
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• 113年 hce_nthu 第53題
  According to observers on the Earth frame, a planet is 30 light-years away from Earth. If we plan to…
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• 113年 hce_nthu 第54題
  Find the binding energy of carbon-12 based on the following data: $\text{mass of a carbon atom} = 12.000000\text{ u}$…
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• 113年 hce_nthu 第55題
  A soccer ball has a mass of $0.4\text{ kg}$. Initially, it moves to the left at a speed of $20\text{ m/s}$…
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• 113年 hce_nthu 第56題
  A geosynchronous satellite is one that stays above the same point on the Earth's equator. Which of t…
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• 113年 hce_nthu 第57題
  Two spring-block systems are placed in a viscous environment independently. The viscous forces exper…
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• 113年 hce_nthu 第60題
  A roller coaster has mass of $500\text{ kg}$ when fully loaded with passengers shown in the figure o…
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• 112年 hce_nthu 第31題
  A rectangular buoy with cross section $A$ and thickness $h$ floats on the water surface. Jane waits…
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• 112年 hce_nthu 第33題
  A toroidal inductor with an inductance of $20\text{ mH}$ has a volume of $0.02\text{ m}^3$. If the a…
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• 112年 hce_nthu 第34題
  A rigid rod of length $L$ rotates about an axis perpendicular to the rod, with one end of the rod fi…
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• 112年 hce_nthu 第35題
  An air raid siren on top of a tall pole radiated sound waves uniformly in all directions. At a dista…
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• 112年 hce_nthu 第36題
  A nonconducting sphere of radius $10\text{ cm}$ is uniformly charged with a density of $100\text{ nC/m}^3$…
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• 112年 hce_nthu 第37題
  An electron is trapped in a square well potential of infinite depth with width $L$. If the electron…
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• 112年 hce_nthu 第38題
  A particle of mass $m$ is attached to a spring with a force constant $k$. The motion of the particle…
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• 112年 hce_nthu 第39題
  Consider the following 4 objects rolling down the same slope from the same height without slipping:…
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• 112年 hce_nthu 第40題
  Light from a helium-neon laser ($\lambda = 632.8\text{ nm}$) is incident upon a $0.20\text{-mm-wide}$…
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• 112年 hce_nthu 第41題
  In a one-dimensional problem, an object of mass $m = 2.0\text{ kg}$ is subjected to the resultant fo…
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• 112年 hce_nthu 第42題
  A block of mass $m = 2.0\text{ kg}$ is connected by two springs with force constants $k_1 = 800\text{ N/m}$…
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• 112年 hce_nthu 第44題
  As shown in the figure below, a long straight wire carries a current $i_1 = 30\text{ A}$ and a recta…
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• 112年 hce_nthu 第45題
  For double-slit experiments for particles, which of the following statements is true?
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• 112年 hce_nthu 第46題
  Inside a planet, the mass density is usually not homogeneous across the planet. However, if a spheri…
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• 112年 hce_nthu 第47題
  Which of the following values is closest to the number of photons per second emitted by a $3.2\text{ mW}$…
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• 112年 hce_nthu 第48題
  A $5000\text{-kg}$ truck is turning on a flat road with a radius of $50\text{ m}$. The road surface…
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• 112年 hce_nthu 第49題
  A $1.0\text{-kg}$ ball is attached to the end of an incompressible massless rod of length $1.0\text{ m}$…
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• 112年 hce_nthu 第50題
  A disk ($\text{radius} = 8.0\text{ cm}$) rotates about a fixed axis passing through its center and,…
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• 112年 hce_nthu 第52題
  The armature of a $60\text{-Hz}$ AC generator rotates in a magnetic field of $0.15\text{ T}$. If the…
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• 112年 hce_nthu 第53題
  A non-conducting sphere of radius $10\text{ cm}$ is uniformly charged with a density of $100\text{ nC/m}^3$…
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• 112年 hce_nthu 第55題
  As shown in the figure below, an RC circuit consists of a resistor $R$, and two capacitors $C_1$ and…
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• 112年 hce_nthu 第56題
  A small helium-neon laser emits red visible light with a power of $3.0\text{ mW}$ in a beam with a r…
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• 112年 hce_nthu 第57題
  A charger for a cell phone contains a transformer that steps down $120\text{-V}$ AC to $5.0\text{-V}$…
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• 112年 hce_nthu 第58題
  A uniform stick is $1.0\text{-m}$ long and weighs $1.0\text{ kg}$. It is attached to a hinge at one…
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• 112年 hce_nthu 第59題
  A man wants to know the magnitude of the magnetic field generated by an overhead power line. He esti…
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• 112年 hce_nthu 第60題
  A $100\text{-W}$ light bulb is made from a glass sphere with a radius of $3.0\text{ cm}$ and a thick…
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• 111年 hce_nthu 第20題
  20. Each of the longest wavelength of the spectral lines recorded for two electron transitions from…
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• 111年 hce_nthu 第32題
  32. A $50\text{-kg}$ boy runs up the stairs to the top of the $200\text{-m}$ tall 18 Peaks Mountain…
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• 111年 hce_nthu 第33題
  33. A magnetron in a microwave oven emits electromagnetic waves with frequency $\text{f} = 2450\text{ MHz}$…
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• 111年 hce_nthu 第34題
  34. Suppose two parallel plates in Fig. 4, each has an area of $100\text{ cm}^2$ and are $0.1\text{ cm}$…
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• 111年 hce_nthu 第36題
  36. Which of the following values is closest to the minimum power in hp required for a $1000\text{-kg}$…
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• 111年 hce_nthu 第37題
  37. Which of the following values is closest to the total electric potential energy of $1\text{ mole}$…
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• 111年 hce_nthu 第38題
  38. Suppose an electron is trapped in a one-dimensional infinite well of width $\text{L} = 2\text{ nm}$…
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• 111年 hce_nthu 第39題
  39. A simple DC motor run by a $9.0\text{ V}$ battery has a 20 turn square coil with sides of length…
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• 111年 hce_nthu 第40題
  40. A helicopter rotor blade can be considered as a long thin rod, as shown in Fig. 6. If each of th…
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• 111年 hce_nthu 第41題
  41. Car A leaves point $O$ at $t = 0$ and travels counterclockwisely along a quarter circle of radiu…
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• 111年 hce_nthu 第42題
  42. In a one dimensional problem, an object of mass $m = 2.0\text{ kg}$ is under effect of a resulta…
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• 111年 hce_nthu 第43題
  43. A spaceship of mass $m$ circles a planet (mass $= M$) in an orbit of radius $R$. How much energy…
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• 111年 hce_nthu 第44題
  44. Two blocks, $m_1 = 1.0\text{ kg}$ and $m_2 = 2.0\text{ kg}$, are connected by a light string as…
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• 111年 hce_nthu 第45題
  45. A wave is transmitted along a string. Which of the following actions can quadruple the energy tr…
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• 111年 hce_nthu 第46題
  46. An empty can and a full can of the same shape are rolled side-by-side down an incline without sl…
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• 111年 hce_nthu 第48題
  48. There is a parallel-plate capacitor of capacitance $C_0$. A slab of dielectric material with $\kappa = 2$…
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• 111年 hce_nthu 第49題
  49. Electromagnetic wave is travelling in the free space with the amplitudes of the electric and mag…
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• 111年 hce_nthu 第50題
  50. Which of the following observations in the photoelectric effect experiment can be explained by t…
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• 111年 hce_nthu 第51題
  51. Two blocks of equal mass $m$ placed on a frictionless flat surface are connected by a massless s…
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• 111年 hce_nthu 第52題
  52. The simple harmonic motion is a general phenomenon that occurs as one perturbs a system at stabl…
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• 111年 hce_nthu 第53題
  53. Two strings of different linear mass density are joined at $x = 0$ to form a new string. The hea…
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• 111年 hce_nthu 第55題
  55. Two ambulances have identical sirens that would make sound waves of frequency $700\text{ Hz}$. A…
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• 111年 hce_nthu 第56題
  56. Given a non-uniform charge distribution $\rho(r) = a/r\text{ (C/m}^3\text{)}$ between two concen…
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• 111年 hce_nthu 第57題
  57. A charging RC circuit consists of a battery with emf $\mathcal{E}$, a resistor $R$, and two capa…
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• 111年 hce_nthu 第58題
  58. A metal rod is pulled to the right in a uniform magnetic field $B_0\hat{z}$ so that it accelerat…
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• 111年 hce_nthu 第59題
  59. Which of the following statements about electromagnetic (EM) waves radiated from a point source…
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