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- The propagation of uncertainty formula for the equation y - ax^2 is y (Ay +(Ay,)² where Aya = (ax²) – ((a + Sa)x²).and .Ayx = (ax?) - (a(x+ 5x)²) and. The values %3D %3D Sa and 5x are the uncertainties on a and x respectively. If a = 0.4 +/- 0.8 and x = -1.6+/-0.7 then what is the uncertainty on y?3. The equation 1.45 in our textbook says that the de Broglie wavelength as a function of temperature is given by 1 Assuming the accepted accuracy for h, R, and m are very high, what is the V3MRT maximum uncertainty in the de Broglie wavelength if AT is the uncertainty in temperature?Suppose Fuzzy, a quantum-mechanical duck, lives in a world in which h = 2 J s. Fuzzy has a mass of 1.90 kg and is initially known to be within a pond 1.00 m wide. (a) What is the minimum uncertainty in the duck's speed? m/s (b) Assuming this uncertainty in speed to prevail for 4.90 s, determine the uncertainty in Fuzzy's position after this time. m
- x + 5 x 5 Calculate the following values: a. q( – 3) : b. q(7) = q(5) = C.A free neutron (m=1.67 x 10-27 kg )has a mean lifeof 880 s. What is the uncertainty in its mass (in kg)?Find the uncertainty in kinetic energy. Kinetic energy depends on mass and velocity according to this function E(m,v) = 1/2 m v. Your measured mass and velocity have the following Sm = uncertainties = 1.33 kg and SV = 2.15 m/s. What is the uncertainty in energy, SE , if the measured mass, m = 2.47 kg and the measured velocity, v = -31.26 m/s?
- A fly with a mass of 23.7 mg is moving with a velocity of 6.7 m/s + 10%. What is the momentum of this fly? kgm/s What is the uncertainty in the momentum measurement? kgm/s At best, what is the uncertainty in the position of the fly? m Are we very certain with this measurement? Yes O NoNormally measurement uncertainty is used to represent of a measurement result? Select one: O a. dispersion O b. The half width of the distribution interval tion O c. error O d. precision The measurement error is defined as AX=X-Xo where Xo is the true value of a physical quantity. X is the measured value of the physical quantity, AX is also known as "absolute error" What is the correct understanding to absolute error? Select one: Oa An absolute error indicates the absolute value of the error Ob Absolute eror is the difference between the measured value and the true value. O e Absolute error indicates that the error is always positive. O d. Absolute eror indicates that the magnitude of an eror is certain.A) A Photo by Kwines - Given the function =3xyz²î + 2xy³ĵ – x²yzk Find the divergence V. b. a. 3yz²î + 6xy²j - x²yk 3yz² + 6xy² - x²y c. 3xyz²+ 2xy³ – x²yz d. 8
- Apply error propagation to determine the associated uncertainty in the average volume… Plza. Calculate the minimum uncertainty in the position of an electron in meters, if its velocity has been measured to within 2.34e-06 m/s. For the mass of an electron use 9.10938356 × 10-31 kg and for huse 1.0545718 x 10-34 Js. m b. 44 = 141² = ² represents a: O the pitchfork operator O probability density O numerov program O wave function c. The sum of all the little bits of probability over possible measurements that can be made (i.e. over all space): S4²4 = 1 is called: O the quantum condition O the normalization condition O the human condition O the eignen conditionNow let's try it with the momentum. The necessary partial derivatives are: ӘР ар Ovr = mi What's the uncertainty in the momentum SP? ?m - V1 ӘР ?uz - m2 aP ?mz = 02