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共計3小時考試時間
此套試卷由25道選擇題以及3道大題組成
每道大題含有不同數量的小題
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Data:
Speed of light c =3.00 × 108m/s
Gravitational constant G =6.67 × 10?11N · m2kg2
Acceleration due to gravity g =9.80m/s2
Normal atmospheric pressure P0 =1.01 × 105Pa
Density of fresh water ρ =1.00 × 103kg/m3
Speci?c heat of water Cw = 4186J/(kg · K)
Speci?c heat of ice Ci = 2050J/(kg · K)
Latent heat of water Lw = 2260kJ/kg
Latent heat of ice Li = 334kJ/kg
Density of ice ρi = 916kg/m3
Fundamental charge e =1.60 × 10?19C
Mass of electron me =9.11 × 10?31kg
Mass of proton mp =1.67 × 10?27kg
Planck’s constant h =6.63 × 10?34Js
Coulomb’s constant 1/(4πε0)=8.99 × 109 N · m2 /C2
Boltzmann’s constant k=1.38 × 10?23J/K
A.U. Astronomical Unit = 1.49598 ×1011m: The approx-imate distance from the Sun to the Earth.
Radius of the Earth RE =6.371 × 106m
Radius of the Sun RS =6.96 × 108m
Stefan’s constant σ =5.6704 × 10?8W/(m2· K4)
H2 Molar mass 2.016g/mol
O2 Molar mass 31.998g/mol
N2 Molar mass 28.013g/mol
Part A: Multiple Choice
1)As shown in the picture, a ball is attached to a ceiling and a wall with massless ropes A and B. Rope A is at angle θ from the vertical direction, and rope B is horizontal. The system is static. If rope B is cut, what is the ratio of the tension in rope A immediately after it is cut to the tension in A before it is cut?

2)Consider a circuit made of a wire with uniform resis-tance in a shape of a circle as shown in the picture. The circle is connected diagonally from point A to point B with the same type of wire. If the current passing through the circuit is i0, what is the current passing through the wire AB as a function of angle θ?

3)The following graph represents the speed of a car as a function of time. We know that as the car speeds up there is a friction force with air that can be approxi- mately considered to be proportional to the speed of the car.

Which of the following graphs can be the force of the engine as a function of time?





4)If electromagnetic radiation with intensity I (power per unit area) is absorbed by a surface, it exerts a pressure on the surface that is given by
, where?c is the speed of light and θ is the angle the light rays hit the surface relative to a direction perpendic-ular to the surface. The Sun has a radiation power of P =3.9×1026 W. The absorption of sunlight by Earth causes a force on Earth that pushes it away from the Sun. Which of the following is closest to the magnitude of this force?
5)As shown in the picture a cylinder with volumetric thermal expansion coe?cient of βc =3 × 10?6/ oC is completely submerged and floating in a ?uid at the temperature 50oC. Thefluid has volumetric thermal expansion coefficient of βf =8 × 10?5/ oC. If we cool down the cylinder and the fluid to 0oC what percentage of the cylinder’s height will be out of the fluid?

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