A digital spectrometer is used to measure the wavelengths of an emission spectrum of a gas. At the peak value for one of the wavelengths is found to be 489 nm. The width of the peak at half its maximum value is 1.5 nm and the width at its base is 3 nm. What is the uncertainty in the measured wavelength?

A digital spectrometer is used to measure the wavelengths of an emission spectrum of a gas. At the peak value for one of the wavelengths is found to be 489 nm. The width of the peak at half its maximum value is 1.5 nm and the width at its base is 3 nm. What is the uncertainty in the measured wavelength?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 38P

See similar textbooks

Similar questions

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.
A digital spectrometer have the peak value for one of the wavelengths is found to be 489 nm. The width of the peak at half its maximum value is 1.5 nm and the width at its base is 3 nm. What is the uncertainty in the measured wavelength?
An electron is located on a pinpoint having a diameter of 5.89 µm. What is the minimum uncertainty in the speed of the electron? m/s
A photon has an energy of 1.9 meV (milli electron Volt). What is the wavelength of this photon, expressed in micrometers? Keep four significant digits.
How much time is needed to measure the kinetic energy of an electron whose speed is 10 m/s with an uncertainty of no more than 0.1 percent? How
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?
An excited atom gives up its excited energy by emitting a photon. The average period that elapses between the excitation of an atom and the time it radiates is 5 x 10-9sec. Find the corresponding uncertainty in the frequency of the photon.
Normally 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.
An angle is measured to be 29.0±0.4deg. What is the absolute uncertainty in the sine of the angle? What is the absolute uncertainty in the cosine of the angle?
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)?
If a proton has an uncertainty in its velocity of 5.90 × 10⁻⁴ m/s, what is the uncertainty (in meters) in its position?
Line XY was measured by four parties A, B, C, D. Each party has two measurements as follows: Trial A B C D 1 91.25 91.21 91.20 91.18 2 91.19 91.27 91.22 91.26 a. Find the precision of each party and which has the highest precision. b. What is the most probable length of XY?