(a) An electron in the ground state of the hydrogen atom moves at an average speed of 5 × 10 6 m/s. If the speed is known to an uncertainty of 1 percent, what is the uncertainty in knowing its position? Given that the radius of the hydrogen atom in the ground state is 5.29 × 10 −11 m, comment on your result. The mass of an electron is 9.1094 × 10 −31 kg. (b) A 3.2-g Ping-Pong ball moving at 50 mph has a momentum of 0.073 kg · m/s. If the uncertainty in measuring the momentum is 1.0 × 10 −7 of the momentum, calculate the uncertainty in the Ping-Pong ball’s position.
(a) An electron in the ground state of the hydrogen atom moves at an average speed of 5 × 10 6 m/s. If the speed is known to an uncertainty of 1 percent, what is the uncertainty in knowing its position? Given that the radius of the hydrogen atom in the ground state is 5.29 × 10 −11 m, comment on your result. The mass of an electron is 9.1094 × 10 −31 kg. (b) A 3.2-g Ping-Pong ball moving at 50 mph has a momentum of 0.073 kg · m/s. If the uncertainty in measuring the momentum is 1.0 × 10 −7 of the momentum, calculate the uncertainty in the Ping-Pong ball’s position.
Solution Summary: The author explains that the uncertainty in position of an electron in hydrogen atom is calculated using the given radius of hydrogen. It is not possible to identify both the particle’s momentum and position at the same time.
(a) An electron in the ground state of the hydrogen atom moves at an average speed of 5 × 106 m/s. If the speed is known to an uncertainty of 1 percent, what is the uncertainty in knowing its position? Given that the radius of the hydrogen atom in the ground state is 5.29 × 10−11 m, comment on your result. The mass of an electron is 9.1094 × 10−31 kg. (b) A 3.2-g Ping-Pong ball moving at 50 mph has a momentum of 0.073 kg · m/s. If the uncertainty in measuring the momentum is 1.0 × 10−7 of the momentum, calculate the uncertainty in the Ping-Pong ball’s position.
Be sure to answer all parts.
has a frequency of about 7.31 x 10 Hz. Calculate the wavelength (in nm) associated with this
radiation, and calculate the energy (in joules) of a single photon associated with this frequency. Enter
The blue color of the sky results from the scattering of sunlight by molecules in the air. The blue light
your answers in scientific notation.
(a) Wavelength of the radiation:
x 10
nm
(b) Energy (in joules) of a single photon:
x 10
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Be sure to answer all parts.
A particular form of electromagnetic radiation has a frequency of 4.94 × 1015 Hz.
(a) What is the wavelength in nanometers? In meters? Enter your answer in scientific notation.
x 10
nm
x 10
m
(b) To which region of the electromagnetic spectrum would you assign it?
visible
ultraviolet
X-ray
gamma ray
infrared
microwave
radio wave
(c) What is the energy (in joules) of one quantum of this radiation? Enter your answer in scientific
notation.
x 10
An electron has an average position of 9.87 pm from the nucleus of an atom. What is the uncertainty in the velocity (in meters per second) of the electron if
the uncertainty in its position is 3.4%? The mass of an electron is 0.000548 amu and there is 1.6605 x 10-27 kg in 1 amu. Report your answer in proper
scientific notation to 2 sig figs by filling in the blanks below with units entered last.
x 10
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Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell