Question 106 - In a wavefunction, let P(x) = A cos kx + B sin kx. By using the

Question 106 - In a wavefunction, let P(x) = A cos kx + B sin kx. By using the boundary conditions of x = 0 and x = l, where P(0) = P(l) = 0, prove by mathematical calculation that P(x) = B sin (npx / l) where p = 22 / 7 approximately, n is a rounded number. A, B and k are constants.

Question Posted / kangchuentat

1 Answers
2280 Views
I also Faced
E-Mail Answers

Question 106 - In a wavefunction, let P(x) = A cos kx + B sin kx. By using the boundary conditions ..

Answer / kangchuentat

Answer 106 - When x = 0, P(0) = A cos (k x 0) + B sin (k x 0) = A = 0. When x = l, P(l) = A cos (k x l) + B sin (k x l) = 0 = B sin (k x l), then k x l = arc sin 0 = np, k = np / l. Finally P(x) = B sin kx = B sin (npx / l) as proven. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.

Is This Answer Correct ?

0 Yes

0 No

Post New Answer

More Chemical Engineering Interview Questions

is petroleum a mixture of hydrocarbon?

5 Answers

When specifying a cooling tower, should I look up historic wet bulb temperatures for my area or should I take measurements?

0 Answers

What are the some common causes of control valve noise?

0 Answers

What are the steps taken to operate a tank-blanketing valve?

0 Answers

Explain the different types of equipments for the conveyance of solids?

0 Answers

Is it possible to compare the resistance to chloride attack of several materials of construction?

2 Answers

QUANTUM COMPUTING - EXAMPLE 32.4 : A system of linear congruences consists of 3 equations : X ≡ 1 (mod 2), X ≡ 3 (mod 3), X ≡ 4 (mod 5). X has positive values. (a)(i) List the values of these equations from 1 to approximately 40. (ii) Find the first smallest value and second smallest value of X. (iii) Guess the third smallest value of X. (b) Let X ≡ Aa (mod Ma), X ≡ Ab (mod Mb), X ≡ Ac (mod Mc). According to Chinese remainder theorem, X ≡ (Aa x Ya x Md + Ab x Yb x Me + Ac x Yc x Mf) [ mod (Ma x Mb x Mc) ]. (i) Show that Ma, Mb and Mc have the greatest common divisor of Ma x Mb x Mc. (ii) Find the values of Md, Me and Mf if Md = Mb x Mc, Me = Ma x Mc and Mf = Ma x Mb. (iii) Find the values of Ya, Yb and Yc if Ya = Remainder of (Md / Ma), Yb = Remainder of (Me / Mb) and Yc = Remainder of (Mf / Mc). (iv) Use Chinese remainder theorem to find X.

1 Answers

ENGINEERING ECONOMY - EXAMPLE 7.1 : In engineering economy, the future value of first year is FV = PV (1 + i). For second year it is FV = PV (1 + i) (1 + i). For third year it is FV = PV (1 + i) (1 + i)(1 + i) where FV = future value, PV = present value, i = interest rate per period, n = the number of compounding periods. By induction, what is the future value of $1000 for 5 years at the interest rate of 6 %?

1 Answers

What is the difference between horizontal and vertical heat exchanger?

0 Answers

What is difference between a Flue Gas Analyzer and Exhaust Gas Analyzer ?

1 Answers

i am giving BARC Trainee exam in chemical. Can anyone tell the syllabus and question paper pattern for OCES for BARC trainee?

1 Answers

hi can u send me all d technical qus pepar of DRDO?my email id is palmzk@gmail.com

0 Answers

For more Chemical Engineering Interview Questions Click Here