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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.What is the uncertainty in the temperature difference, ΔT, between the two temperature T1 = (25.0 ± 0.5) oC and T2 = (30.0 ± 0.3) oC?An atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.
- Find the uncertainty in the moment of interia. Moment of interia of a disk depends on mass and radius accordng to this function I(m,r) = 1/2 m r. Your measured mass and radius have the following uncertainties Sm = 0.34 kg and Sr = 0.17 m. What is is the uncertainty in moment of interia, %3D S1 , if the measured mass, m 6.05 kg and the measured radius, r = 14.74 m? Units are not neededCalculate the standard uncertainty in z if z=Xsinθ using the angle (45.00 ± 0.74) degrees and the value X = (23.60 ± 0.51) z = ___±___Calculate the standard uncertainty in z ifz=sinθusing the angle (46.60 ± 0.13) degreesz = __± __
- Calculate the standard uncertainty in z ifz=sinθusing the angle (46.60 ± 0.13) degreesz = __± __4 Su24 on Question 1 (Mandatory) (10 points) ✓ Saved The correct formula to calculate a Percent Error between experimental value X and accepted value A is O al X-A 100% X+A b) IX-AI 100% Ob) A Oc) IX-AI 100% (X+A) 1/2 d) IX+AI 100% (X-A) acer ) 0:16:50 remainA valid, but probably useless, dimensionless group is givenby (μT0g)/ (YLα) , where everything has its usual meaning,except α . What are the dimensions of α ?( a ) θL-1T-1 , ( b ) θL-1T-2 , ( c ) θML-1 , ( d ) θ-1LT-1 ,( e ) θLT-1
- If A =〖yz〗^2 i-3xz^2j +2xyz k, B = 3xi +4zj -xyk and ∅= xyz, findd^2/dxdy [Ax (B.∅)] at P(1, 1, 1)Compute the uncertainty of 1/x in terms of x and its uncertainty, δx .Finx the spring constant Ks from the slope' of the M (grams) vs X (cm) plot, using Ks= S' g equation. Determine Delta Ks using uncertainty Delta S' in the slope of the M (grams) vs X (cm) plot. Slope'= 26.00 Error on slope, Delta Slope'= +/- 1.036