6.Calculate the self-inductance of a 0.7(m) long air-filled solenoid 3.5(cm) in diameter containing 6300 loops.
(A)J 0.068 (H)
(B) 0.043 (H)
(C) 0.077 (H)
(D) 0.054 (H)

7.Calculate the capacitance of a parallel plate capacitor whose plate are 370 (cm²) and are separated by a 2.3(mm) air gap. (A)(F) (B) (F) (C) (F) (D) (F)

8. An electron travels at the speed 4×107(m/sec) in a plane perpendicular to a uniform magnetic field. If the resulting radius of circular motion is r=7.3×(m), find the magnitude of the magnetic field B. (A) 0.024 (Tesla) (B) 0.043 (Tesla) (C) 0.031 (Tesla) (D) 0.052 (Tesla)

9. A magnet moves at high speed relative to an observer and passes by an electron that is stationary relative to the same observer. At the instant the north pole of the magnet passes directly beneath the electron (as shown in Figure1), in which direction will the force acting on the electron point? (A) (B) 2 (C) 3 (D) 4

10. There are two inclined planes, with angles θ1=60° and θ2=45° relative to the horizontal. Two objects with masses M₁=2(kg) and M2=1(kg) (both are initially at rest) slide down the inclined planes from the same height h as shown in Figure 2. Assuming the time taken to reach the bottom (point A in the figure) are t1 and t2 respectively, what is the ratio?  (A) t1/t2=0.816 (B) t1/t2= 1.224 (C) t1/t2=1.150g (D) t1/t2=0.707

11. Consider the track shown in Figure 3. The track AB is one quarter of a circle of radius R=3.0(m) and is frictionless. The horizontal track from B to Chas a length of d=4.0(m) and a coefficient of kinetic friction =0.23. The track CD under the spring is frictionless. The track CD forms an angle θ=30° with the horizontal plane. A block with a mass of m=2.2(kg) is released from rest at point A. After sliding m along the track, it compresses the spring by 0.35 (m) and comes to rest at a distance 0.8 (m) from C. Determine the stiffness constant k for the spring.   spring.   (A) 610 (N/m) (B) 591 (N/m) (C) 554 (N/m) (D) 732 (N/m)

12.Consider a planet moving in an elliptical orbit around the Sun, with an aphelion distance of 2.49×108 (km) and a perihelion distance of 2.06×108 (km). Assuming the mass of the planet is 4.20× (kg) and the mass of the Sun is 1.99× (kg), what is the orbital period of the planet around the Sun? use 1Earth year=31536000 (sec)] [we (A) 2.15 Earth year (B) 1.87 Earth year (C) 1.62 Earth year (D) 1.28 Earth year

13. Consider the collision of two objects with masses m1 and m2. The initial (before collision) and final (after collision) momenta are denoted as . The momentum difference before the collision is recorded as , and the momentum difference after the collision is recorded as . What is the magnitude of the impulse J experienced by each object during the collision? (A) (B)(C) (D)

14. Consider a uniform tubes open at both end, which is called the open tube. Suppose an open tube A with a length L has a fundamental frequency f0. If one-third of A's length is cut off, resulting in open tube B, what is the fundamental frequency ? If the open tube B is then connected to another open pipe with one-third of B's length, forming open pipe C, what is the fundamental frequency ? (A) (B) (C)(D)

15. A sound source emits a frequency f=72 (Hz) when stationary. Suppose the sound source and the observer are moving toward each other as shown in Figure 4, each at a speed equal to half the speed of sound, i.e., /2 and . What is the frequency fobserved by the observer?  (A) f= 144 (Hz) (B) f= 108 (Hz) (C) f=157 (Hz) (D) f=216 (Hz)

16. Suppose there are two tuning forks (音叉) with vibration frequencies of 240 Hz and 242 Hz. If both tuning forks are sounded together, what frequency does the ear perceive, and how many times per second will the ear hear a loud sound? (A) 482 (Hz); 2 times each second (B) 482 (Hz); 4 times each second (C) 241 (Hz); 2 times each second (D) 241 (Hz); 4 times each second

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