(a)
Interpretation:
The minimum uncertainty in the speed of an electron confined in a nanoparticle with a diameter of
Concept Introduction:
Uncertainty principle:
Uncertainty principle states that if the location of a particle is known to within an uncertainty
Mathematically,
Where,
(a)
Answer to Problem 1B.28E
The minimum uncertainty in the speed of an electron confined within a lead atom of diameter
Explanation of Solution
Given that, the uncertainty in position of an electron is
The uncertainty principle says that,
By plugging all data in the above equation, the value of uncertainty in the speed of electron can be calculated.
Therefore, the minimum uncertainty in the speed of an electron confined within a nanoparticle of diameter
(b)
Interpretation:
The minimum uncertainty in the speed of a
Concept Introduction:
Refer to part (a).
(b)
Answer to Problem 1B.28E
The minimum uncertainty in the speed of a confined within a
Explanation of Solution
Given that, the uncertainty in position of a
The uncertainty principle says that,
By plugging all data in the above equation, the value of uncertainty in the speed of a
Therefore, the minimum uncertainty in the speed of a confined within a
(c)
Interpretation:
The one which could be specified more accurately in a nanoparticle: the speed of an electron or the speed of a
Concept Introduction:
Refer to part (a).
(c)
Explanation of Solution
The uncertainty in speed of an electron and a
The uncertainty in speed of a
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Chapter 1 Solutions
Chemical Principles: The Quest for Insight
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- The work function of metal is the minimum energy required to produce photoelectric effect on that metal, and the work function for potassium metal is 2.30 eV (where 1 eV = 1.60 x 10–19 J).(a) What is the minimum energy in Joules required to eject an electron from potassium metal?(b) What is the longest wavelength of light, in nanometers (nm), capable of producing photoelectric effect on potassium metal? (c) Determine whether a photon of green light with = 512 nm would have sufficient energy to eject an electron from a potassium metal. (d) If an electron is ejected, determine the kinetic energy and the speed of the ejected electron, which has a mass of 9.11 x 10–31 kg. .(Planck’s constant, h = 6.626 x 10–34 J∙s.; speed of light, c = 3.00 x 108 m/s; 1 J = 1 kg∙m2/s2)arrow_forward(A) What is the wave length (in nanometers) of light having a frequency of 3.6 x 1013 Hz? (B) what is the frequency (in hertz) of light having a wavelength of 456 nm? (c) what is the frequency of light having a wave length of 147 nm? (d) what is the wave length (in meters) of radiation having a frequency of 9.64 x 107 Hz? (this is the type of radiation used by FM radio stations)arrow_forwardImagine an alternate universe where the value of the Planck constant is 6.62607 × 10 -16 J•s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? object quantum or classical? A virus with a mass of 6.0 x 1017 g, 380. nm wide, O classical moving at 1.70 um/s. quantum A turtle with a mass of 990. g, 24. cm long, moving at 1.5 classical cm/s. quantum O classical An atom with a mass of 1.0 x 1027 kg, 77. pm wide, moving at 115. m/s. quantum O classical A grain of sand with a mass of 140 mg, 900. pm wide, moving at 2.00 mm/s. O quantum Explanation Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of UseI Privacy Accessibility MacBook Pro Q esc @ #3 $ &arrow_forward
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