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- Given that L* = L,±iL, and L+Ym (0, 0) = NËYm÷1 (0, 0), where N = h/(e+1+m) (l = m), %3D show that, L+ + L- L+ - L- (a) L, = and L, 2 2i (b)L,Y10 (0, 6) = cY1 (0,6) + c„Y1-1 (0, 6) and find the constants e and c2. (c)Consider the function (0,6), which has the expansion 1 v (0, 6) = E amYım (0,9), where ao = 2v2, a1 = a-1 = 2. %3D m=-1 Show that (0, 0) is an eigenfunction of L, and find the corresponding eigenvalue.Determine which df th following equations can be eigen function equation and qive tk values an sinfx) dx 2 d? sin TTX 2 dx2 a x uP +) -ih 으 ek T 2ikyDetermine the range
- Problem 2: At its peak, a tornado is 65 m in diameter and has 260 km/h winds. Randomized Variables d = 65 m s = 260 km/h What is its frequency in revolutions per second? f= cos() tan() 7 9 HOME sin() IT cotan() asin() acos() EAA 4 6. atan() acotan() sinh() 2 3t Eg=15N and Eo=l", Find Fymn The Smallest Possible Vahek Of minj ty in N Find Fxmar The largest possible Value or Fx, in N maxShow that