Exam 28: Atomic Physics

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The spacing of the atoms of a crystal is 159 pm.A monoenergetic beam of neutrons directed normally at the surface of the crystal undergoes first order diffraction at an angle of 58° from the normal.What is the energy of each of the neutrons? (mneutron = 1.675 × 10-27 kg,1 eV = 1.6 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

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A person of mass 50 kg has a de Broglie wavelength of 4.4 × 10-36 m while jogging.How fast is she running? (h = 6.626 × 10-34 J ∙ s)

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To which of the following values of n does the longest wavelength in the Balmer series correspond?

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Neon has 10 electrons.What is the value of Z of the next higher element that has chemical properties very similar to those of neon?

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The value of a wavelength in the Balmer series is 372.1 nm.What is the corresponding value of n?

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The shortest wavelength of a photon that can be emitted by a hydrogen atom,for which the initial state is n=12,n = 12 , is closest to which one of the following values? (c=3.0×108 m/s,\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \right. h=6.626×10−34 J⋅sh = 6.626 \times 10 ^{- 34} \mathrm {~J} \cdot \mathrm { s } 1eV=1.60×10−19 J)1 \mathrm { eV } = 1.60 \times 10^{ - 19} \mathrm {~J} )

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A crystal diffracts a beam of electrons,like a grating,as they hit it perpendicular to its surface.The crystal spacing is 0.18 nm,and the first maximum scattering occurs at 80° relative to the normal to the surface.(e = 1.60 × 10-19 C,melectron = 9.11 × 10-13 kg,h = 6.626 × 10-34 J ∙ s) (a)What is the wavelength of the electrons? (b)What potential difference accelerated the electrons if they started from rest?

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One of the emission lines described by the original version of Balmer's formula has wavelength 377 nm377 \mathrm {~nm} What is the value of n in Balmer's formula that gives this emission line?

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What would be the de Broglie wavelength for 1-g object moving at the earth's escape speed 25,000 mph (about 11 km/s)? (h = 6.626 × 10-34 J ∙ s)

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In its ground state,the quantum numbers (n,ℓ,m1,ms)for hydrogen are,respectively,

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A hydrogen atom makes a transition from the n=15n = 15 state to the n=5n = 5 state.Find the wavelength of the emitted photon.(c = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

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An electron has the same de Broglie wavelength as the wavelength of a 1.8 eV photon.What is the speed of the electron? (melectron = 9.11 × 10-31 kg, c = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J)

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What is the wavelength of the emitted photon if an electron in the hydrogen atom makes a transition from the n = 7 state to the n = 2 state? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

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In a hydrogen atom,an electron with n = 7 can exist in how many different quantum states?

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Which one of the following is the correct electronic configuration for the sodium atom,which has 11 electrons?

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What is the correct ground state electron configuration of boron,which has 5 electrons?

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If the maximum possible accuracy in measuring the lifetime of a particle increases,the maximum possible accuracy in measuring its energy will

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If a hydrogen atom in the ground state absorbs a photon of energy 12.09 eV,to which energy state will it make a transition?

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Radio astronomers often study the radiation emitted by a hydrogen atom from a transition between the two hyperfine levels associated with the ground state.This radiation has a wavelength of 21 cm.What is the energy difference between the hyperfine levels? (1 eV = 1.60 × 10-19 J)

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What is the longest wavelength in the Lyman Series?

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