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Statistical Mechanics

Recent Statistical Mechanics Questions & Answers

Questions and Answers
Consider an oscillator with elastic constant k, m mass angular frequency ω0=√ k/m. The energy of the system is E=( n + ½) ...
Consider an oscillator with elastic constant k, m mass angular frequency ω0=√ k/m. The energy of the system is E=( n + ½)  hω0. For δE >> hω0, find ΩE, the number of states between E and E +  δE.  (h is h-bar) ...
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Questions and Answers
Consider an oscillator with elastic constant k, m mass angular frequency ω0=√ k/m. The energy of the system is E=( n + ½)&n...
Consider an oscillator with elastic constant k, m mass angular frequency ω0=√ k/m. The energy of the system is E=( n + ½)  ℏω0. For δE >> ℏω0, find ΩE, the number of states between E and E +  δE.   ...
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Consider a particle confined within a box in the shape of a rectangular parallelepiped of edges Lx,Ly and Lz. The possible energy levels of this parti...
Consider a particle confined within a box in the shape of a rectangular parallelepiped of edges Lx,Ly and Lz. The possible energy levels of this particle are then given by (2.1 3). (a) Suppose that the particle is in a given state specified by particular values of the three integers nx, ny, and n...
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Which of the following do not affect capacitance? (a) Area of the plates. (b) Separation of the plates. (c) Material between the plates...
Which of the following do not affect capacitance? (a) Area of the plates. (b) Separation of the plates. (c) Material between the plates. (d) Charge on the plates. (e) Energy stored in the capacitor. ...
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When the proton (Q = +e) and electron (Q = -e) strike the opposite plate, which one has more kinetic energy? (a) The proton. (b) The e...
When the proton (Q = +e) and electron (Q = -e) strike the opposite plate, which one has more kinetic energy? (a) The proton. (b) The electron. (c) Both acquire the same kinetic energy. (d) Neither-there is no change in kinetic energy. (e) They both acquire the same kinetic energy but...
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Questions and Answers
1. A proton (Q = +e) and an electron (Q = -e) are in a constant electric field created by oppositely charged plates. You release the pr...
1. A proton (Q = +e) and an electron (Q = -e) are in a constant electric field created by oppositely charged plates. You release the proton from near the positive plate and the electron from near the negative plate. Which feels the larger electric force? (a) The proton. (b) The electr...
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Which of the following statements is valid? (a) If the potential at a particular point is zero, the field at that point must be zero. (...
Which of the following statements is valid? (a) If the potential at a particular point is zero, the field at that point must be zero. (b) If the field at a particular point is zero, the potential at that point must be zero. (c) If the field throughout a particular region is constant, ...
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Questions and Answers
1. Four identical point charges are arranged at the corners of a square. The electric field E and potential V at the center of the squa...
1. Four identical point charges are arranged at the corners of a square. The electric field E and potential V at the center of the square are (a) E = 0, V = 0. (b) E = 0, V ≠ 0. (c) E ≠ 0, V ≠ 0. (d) E ≠ 0, V = 0. (e) E = V regardless of the value. 2. If it tak...
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Questions and Answers
1. Which of the following is a vector? (a) Electric potential. (b) Electric potential energy. (c) Electric field. (d) Equipotential lin...
1. Which of the following is a vector? (a) Electric potential. (b) Electric potential energy. (c) Electric field. (d) Equipotential lines. (e) Capacitance. 2. A + 0.2 μC charge is in an electric field. What happens if that charge is replaced by a -0.2 μC charge? (a) The electric...
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Questions and Answers
1. A + 0.2 μC charge is in an electric field. What happens if that charge is replaced by a + 0.4 μC charge? (a) The electric pote...
1. A + 0.2 μC charge is in an electric field. What happens if that charge is replaced by a + 0.4 μC charge? (a) The electric potential doubles, but the electric potential energy stays the same. (b) The electric potential stays the same, but the electric potential energy doubles....
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