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題組內容

六 An aquarium tank has a depth of 22 cm.

(a) Calculate the apparent depth of the tank when viewed from directly above the water.

其他申論題

(c) Connect two capacitors of this type in parallel (upper figure), each with capacitance C and charge Q. If the plate separation is increased from d to 3d in one capacitor and decreased from d to d/3 in the other (bottom figure), express the potential difference on each capacitor in terms of C and Q.

(d) In this case, what is the total energy stored in the two capacitors in terms of C and Q?

(a) A conducting bar of length L has one end connected to a pivot, and the other end is connected to a conducting ring around the pivot. A magnetic field is directed perpendicular into the ring and varies with the distance r to the pivot by B(r) = 2r. If the rod rotates with a constant angular speed ω about the pivot, what is the induced motional electromotive force between the ring and the pivot?

(b) If the rod is absent, and the magnetic field changes with both r and time t as B(r,t) = 2rt, what is the induced electromotive force along the ring?

(b) If a glass plate, 10 cm thick, is placed on the bottom of the tank, what is the apparent thickness of the plate when viewed from directly above the water? The indices of refraction for air, water, and glass are = 1, = 4/3, and = 5/3, respectively. Express your calculations using fractional numbers (such as 4/3) instead of decimal numbers (such as 1.33...).

(a) the magnitude of the acceleration of the block ,

(b) the magnitude and the direction of the static friction force acted on the cylinder ,

(c) the total kinetic energy of the cylinder .

(a) The entropy difference between points 2 and 4.

(b) Total heat absorption by the gas during the cycle.

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