In metrology, measurement uncertainty is the expression of the statistical dispersion of the values attributed to a measured quantity. All measurements are subject to uncertainty and a measurement result is complete only when it is accompanied by a statement of the associated uncertainty, such as the standard deviation. By international agreement, this uncertainty has a probabilistic basis and reflects incomplete knowledge of the quantity value. It is a non-negative parameter.The measurement uncertainty is often taken as the standard deviation of a state-of-knowledge probability distribution over the possible values that could be attributed to a measured quantity. Relative uncertainty is the measurement uncertainty relative to the magnitude of a particular single choice for the value for the measured quantity, when this choice is nonzero. This particular single choice is usually called the measured value, which may be optimal in some well-defined sense (e.g., a mean, median, or mode). Thus, the relative measurement uncertainty is the measurement uncertainty divided by the absolute value of the measured value, when the measured value is not zero.
Suppose I measure the distance between two objects for three trials. The two objects then get farther away, and I measure the distance between them again for three trials. I repeat this for 3 more different distances, getting a total of 15 measurements (3 trials for 5 distances).
I then compute...
I've been doing an experiment where I've used prisms and a spectrometer to find the exact angles inside the prisms and the refractive index of the prisms by finding the minimum angle of deviation.
I have attached a picture of the formula I've been using to find the refractive indices. Where...
Homework Statement
How to calculate the average given the uncertainties in each measurement 8.70 +/- 0.28, 9.680 +/- 0.046, 9.700 +/- 0.055, 9.720 +/- 0.067?
Homework Equations
The Attempt at a Solution
I know I add the values and divide by 4. I also know I add the absolute uncertainties but...
Homework Statement
A common method for finding wavelength is to use diffraction grating. The relationship between wavelength λ and the angle of max intensity θ for first order interference is λ = d*sinθ where d is the spacing between lines on the grating, which is the inverse of the grating...
Hello guys,
I'm doing my physics coursework on kepler's third law and I'm finding the minimum mass and semi-major axis of a unknown planet. I have the following data:
Stellar mass Mstar = 1.31 ± 0.05 Msun
Orbital period P = 2.243752 ± 0.00005 days
Radial velocity semi-amplitude: V = 993.0 ±...
what can be the uncertainty of the frequency that humans can hear ?
I'm aware that there are many ways,but i tried google-ing to find them but i couldnt.
if you could help me it would be great.
1. The problem statement, all variables and given/known dat
Show that if you have a signal f and noise σf for a stellar flux measurement, then the uncertainty on the observed magnitude is given by
σm = 1.0875 x σf / f
Homework Equations
(you should use the fact that when ε<<1 then log(1±ε) ≈...
Homework Statement
My teacher made up this question, but I think there's something wrong.
Consider the wave packet in momentum representation defined by Φ(p)=N if -P/2<p<P/2 and Φ(p)=0 at any other point. Determine Ψ(x) and uncertainties Δp and Δx.
Homework Equations
Fourier trick and...
Homework Statement
Suppose you measure three numbers as follows:
Homework Equations
x= 200. +-2.
y= 50. +-2.
z= 40. +-2.
where the three uncertainties are independent and random. Use step-by-step propagation to find the quantity
q= x/(y-z) with its uncertainty.
The Attempt at a...
Homework Statement
I am given a frequency value of 95 GHz (9.5x10^10 Hz), C= 25 F, L=1.12x10^(-25) H.
The question is to find the uncertainties in frequency by taking account of inductor being 5% accurate & capacitor being 8% accurate.
Homework Equations
I believe this is the correct formula...