所屬科目：研究所、轉學考(插大)◆普通物理學
1. What isis natural fequency?(A)(B)(C)(D)
2. Following the previous question, what is the Lagrangian of the simple harmonic oscillator?(A)(B) (C) (D) (E) L=mv2+kx
3. Which of the following is correct?(A) Given physical quantities A and B of the same dimension (e.g. they are both the lengths of something), and quantities C and D of the same dimension, if D is uniquely determined by A, B, and C, there must be some num nerical constants k and n (of no dimension) such that D = kC(A/B)n. (B) The moon is orbiting around the earth with roughly the samne period as that for its spinning around its own axis. (C) The gravitational potential energy for N point masses is the distance between particle i and particle j, and G is the Newton constant. (D) As the kinetic energy is given by a diffcrent formula, the total energy of an isolated system is not conserved in special relativity. (E) The friction is a conservative force. GMMI
5. What is the moment of inertia I of the system around its center-of-mass? (A) (B) (C)I= (D)(E)
6. What is the magnitude of the total angular momentum of the system around its center of mass?(A)(B) (C) (D) (E)
7. Which of the following is wrong? (A) Divide a uniform spring of spring constant k into two identical halves. The spring constant of each half is 2k. (B) Fix one endpoint of a rope on the edge of a cliff, and release the other endpoint from equal height. At the moment when the free endpoint falls a distance h below the other endpoint, its velocity v is smaller than for any h ＞ 0. (See Fig. B above.)(C) Newton'slaw is necessary for the momentum conservation of physical systems.(D) Given arbitrary 3-dimensional vectors A, B, and C, the following identity bolds: A X(BXC = B(AㆍC) - C(AㆍB)(E) The angular momentum of a point mass in linear motion at constant velocity can be non-zero.
9. Which of the following statement is correct?(A) The law of thermodynamics states that two systems in thermal contact always reach thermal equilibrium in the end. (B) The entropy of any macroscopic system never decreases over time. (C) The entropy of an idcal gas is doubled if its volume is doubled at the same temperature. (D) Any irreversible engine always has a smaller efficiency than any reversible engine. (E) By choosing a suitable definition of Kelvin, the Boltzmann constant has an exact value that does not have to be determined by experiments.
11. Which of the following describes "no existence of magnetic monopole."? (A)(B) (C) (D) (E) nonc of above
12. Capacitance( C ):(A)2πε0a (B) πε0a (C) 4πε0a (D)8πε0a (E)πε0a/2
13. Potential energy saved in this system (Ue): (A) (B) (C) (D) (E) none of above.
14. What is the electric field at a distance r from an infinitely long string uniformly charged with linear charge density λ ? (A) (B)(C) (D) (E) none of above.
15. The uniform surface charge density on an infinitely long strip of finite width 2a is σ. Calculate the electric field at a distance b from the center of the metallic plane, as the point P in Fig. 1. (A) (B) (C) (D) (E)none of the above.
16. The magnetic field B at the center of the rotating disk (point P in Fig. 2) (A) (B) (C)(D)(E)none ofaboe
17. The magnetic field B at distance x from the center of the disk (point Q in Fig. 3) (A)(B)(C)(D) (E) none of above
18. Effective magnetic moment of this rotating disk (A) (B) (C)(D) (E) none of above
19. What is the water temperature? (A) 4 ℃ (B) -10℃ (C)0℃ (D)-5℃ (E) unknown
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(B)
(C)
(D)
(B)
(C)
(D)
(E) L=mv2+kx
is the distance between particle i and particle j, and G is
the Newton constant. (D) As the kinetic energy is given by a diffcrent formula, the total energy of an isolated system is not
conserved in special relativity. (E) The friction is a conservative force.
GMMI
(B) 
(C)
(D) 
=
2V/3 (E) 
(B) 
(C)I=
(D)
(E)
(B)
(C)
(D)
(E)
(A) Divide a uniform spring of spring constant k into two identical halves. The spring constant of each half is 2k. (B) Fix one endpoint of a rope on the edge of a cliff, and release the other endpoint from equal height. At the moment when the free endpoint falls a distance h below the other endpoint, its velocity v is smaller than
for any h ＞ 0. (See Fig. B above.)(C) Newton's
law is necessary for the momentum conservation of physical systems.(D) Given arbitrary 3-dimensional vectors A, B, and C, the following identity bolds: A X(BXC = B(AㆍC) - C(AㆍB)(E) The angular momentum of a point mass in linear motion at constant velocity can be non-zero.
law of thermodynamics states that two systems in thermal
contact always reach thermal equilibrium in the end. (B) The entropy of any macroscopic system never decreases over
time. (C) The entropy of an idcal gas is doubled if its volume is doubled at the same temperature. (D) Any irreversible
engine always has a smaller efficiency than any reversible engine. (E) By choosing a suitable definition of Kelvin, the
Boltzmann constant has an exact value that does not have to be determined by experiments.
(B) 
(C)
(D)
(E) nonc of above
(B) 
(C)
(D)
(E) none of above.
(B)
(C)
(D)
(E) none of above.
(A)
(B) 
(C)
(D)
(E)none of the above.
(A) 
(B) 
(C)
(D)
(E)none ofaboe
(A)
(B)
(C)
(D)
(E) none of above
(B) 
(C)
(D) 
(E) none of above