Question

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QUESTION 1 You measured , D and d (the wavelength, Distance to the screen from the slit and, slit separation size respectively) to A determine the value of Ax = - The measured mean, statistical and instrumental uncertainties are given in the table below: 2 [cm] D (cm) d [cm] Mean 6.00 333.0 18.00 Stat. uncertainty | Inst. uncertainty 0.25 0.001 0.3 1.5 0.11 0.02 Based on these values, the final result came out to be Ax (4x) = 111.0 4.7 cm. The ONE action that would reduce the uncertainty on Ax the most is for variable 4. since that would reduce the largest source of uncertainty when finding Ax. QUESTION 2 The volume of a cylinder is V = n h, where r is the radius of the circular faces and h is the height of the cylinder. Your measurements show that the mean value of r is 21 cm and its statistical and instrumental uncertainties turned out to be 0.10 cm and 0.20 cm, respectively. Likewise, that of h are 13 cm for the mean, 0.2 cm (statistical) and 0.3 cm (instrumental) for its uncertainties. The measurement of variable(s) A has the largest contribution to the overall uncertainty of V. The ONE action that would reduce the uncertainty on V the most is

Answer 1

AX = ID IX - . 0.041+0.005 +0.007 a = 10=) T 0.2. = 0,25) + + 013 x = 10 = 6 x 285 - 1,000 s(4x) = x{0.053} I has largest a sonree of uncertains by contribution v= Tran QV 24V + All =249503+2015] = 240.014} + 400038} = 0.028 +0.038 The measurment of variable th has the highest contribution to the overall v. lammen