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7. Consider the model for a particle of mass m in a one-dimensional box of size L. The potential is zero inside the box, and infinite outside the box.

【題組】(b) Calculate the probability of finding the particle between L/6 to L/2 if n = 3. (5%)
【題組】 (a) Solve the Schrödinger equation by using A sin(kx) as a trial solution to determine k and total energy E in terms of quantum number n. (10%)
6. For the reaction C₂H₄ + H₂ → C₂H₆ in the presence of mercury vapor, a possible mechanism is:
Hg + H₂ → Hg + 2H (rate constant k₁)
H + C₂H₄ → C₂H₅ (rate constant k₂)
C₂H₅ + H₂ → C₂H₆ + H (rate constant k3)
H + H → H₂ (rate constant k4)
Determine the rate law for the production of C₂H₆ using the steady-state approximation. (12%)
50. About image-guided lumbar sympathetic block, which the following indication is not proper? (A) Sympathetically maintained pain (B) Reflex sympathetic dystrophy (C) Phantom low limb pain (D) Raynaud’s disease (E) Chronic pancreatitis
49. Which of the following combination of lesion site with referral site describing pain referral is not common in cancer patients suffering from cancer pain? (A) (Diaphragmatic irritation) and (Shoulder) (B) (Urothelial tract) and (Inguinal region and genitalia) (C) (C7–T1 vertebrae) and (Interscapular) (D) (L1–2) and (Sacroiliac joint and hip) (E) all of the above are common found in patients with cancre pain
48. About chemical neurolytic nerve blocks, which one of following statements is wrong? (A) Phenol or ethanol is usually used for chemical denervation. (B) The duration of these blocks is often disappointingly brief. (C) They may induce deafferentation-neuropathic type pain. (D) They are often indicated for patients with chronic pain and a normal life expectancy. (E) They can be used in patients with advanced cancer disease.

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