A scientist has devised a new method of isolating individual particles. He claims that this method enables him to detect simultaneously the position of a particle along an axis with a standard deviation of 0.12 nm and its momentum component along this axis with a standard deviation of 3.0 * 10-25 kg . m/s. Use the Heisenberg uncertainty principle to evaluate the validity of this claim.

A scientist has devised a new method of isolating individual particles. He claims that this method enables him to detect simultaneously the position of a particle along an axis with a standard deviation of 0.12 nm and its momentum component along this axis with a standard deviation of 3.0 * 10-25 kg . m/s. Use the Heisenberg uncertainty principle to evaluate the validity of this claim.

Similar questions

1. Louis de Broglie postulated all matter has both a particle and wave nature. The wavelength of any matter wave is given by λ = h/p, where p is the linear momentum p = mv and both p and v are vectors. a) World class marathon runners can run at an average pace of about 3.00 min/km. What is the wavelength, momentum and kinetic energy of a 55 kg runner racing at this average speed? b) What is the uncertainty in the runner's velocity if the position is to be determined within one wavelength?
is partially correct. The uncertainty in the position of an electron along an x axis is given as 72 pm. What is the least uncertainty in any simultaneous measurement of the momentum component p, of this electron? Number 7.3125 Units kg-m/s or N-s
Calculate the de Broglie wavelength (in fm) of a 5.8 MeV a particle emitted from an atomic nucleus whose diameter is approximately 1.6 × 10¯14, fm Calculate its minimum kinetic energy (in keV) according to the uncertainty principle. keV Could this particle exist inside the nucleus? Yes No Explain. m.
An electron has de Broglie wavelength 2.78×10-10 m . Part A Determine the magnitude of the electron's momentum pe. Express your answer in kilogram meters per second to three significant figures. ▸ View Available Hint(s) VG ΑΣΦ 24 Pe 2.29 10 . Submit Previous Answers ? × Incorrect; Try Again; One attempt remaining kg. m/s
An isolated atom of certain element emits light of wavelength 529 nm when the atom falls from its sixth excited state into its third excited state. The atom emits a photon of wavelength 422 nm when it drops from its seventh excited state into its third excited state. frind wavelength of the light radiated when the atom makes a transition from its seventh to its sixth excited state, in um. a. 21 b. 2.09 c. 2086.34 d 0.0209 e. 208. 63
i know the answer is NOT 9.42(10^-21)
In an experiment to study the photo-electric effect, light of wavelength 400 nm shining on a metallic surface causes electrons to be emitted. The maximum kinetic energy of the electrons is 1.05 eV (electron volts). Another light source of wavelength 200 nm is then tried, and the emitted electrons have a maximum kinetic energy of 4.20 eV. Using this information: a) determine the value of Planck's constant. b) determine the work function of the metal.
After much effort a physicist is able to measure the location of a proton to within 2.11*10^-16 m. What is the minimum uncertainty in the momentum of the proton?
A particle of matter is moving with a kinetic energy of 7.53 eV. Its de Broglie wavelength is 2.85 x 10^-12 m. What is the mass of the particle?
a) Find the de Broglie wavelength of electrons moving with an average speed of 1.55 x 105 m/s. b) Suppose these electrons are described by a wave packet of width 2.55 nm. What is the uncertainty of the momentum of the electrons?
= 1. Photoelectric effect. In a photoelectric experiment in which monochromatic light of wave- length \ falls on a potassium surface, it is found that the stopping potential Vstop is 1.9 V for > 300 nm and 0.88 V for \ = 400 nm. Imagine we know neither Planck's constant, nor the workfunction for potassium, nor the threshold frequency fo. But assume we do know the elementary charge e 1.60 × 10-19 C and want to test the theoretical prediction of Eintsein's theory. = (a) From the given data, calculate a value for Planck's constant, h. (b) From the same data, find the workfunction Eo and the threshold frequency fo for potas- sium. (c) Then compare your results for h and Eo to their known values (see Knight, Table 38.1 for the work function). (d) Plot eVstop as a linear function of frequency f. Include the information you have found in parts (a) and (b) as well as the experimental data.