College Physics: A Strategic Approach , Books a la Carte Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780134644141
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Question
Chapter 29, Problem 1P
a.
To determine
The Balmer formula n and m values.
b.
To determine
The wavelength of the fifth line spectrum.
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Two of the wavelengths emitted by a hydrogen atom are 102.6 nm and 1876 nm.a. What are the Balmer formula n and m values for each of these wavelengths?b. For each of these wavelengths, is the light infrared, visible, or ultraviolet?
4. In a hydrogen atom, the electron makes ω = 6×1015 rev/s (recall that this is the angular velocity) around the nucleus. We want to calculate how much current flows through a point in the orbit. (a) Calculate the time period of the orbit. Start by converting ω into rad/s. (b) Use the definition of current to calculate I due to the revolution of the electron around the nucleus.
Consider the Bohr model of the atom. Suppose an electron in a hydrogen atom transitions from the n=3 level to the n=5 level.
1) CALCULATE the energy (ΔE) for this transition.
2) Does this transition involve the absorption or emission of a photon of light? How do you know?
Chapter 29 Solutions
College Physics: A Strategic Approach , Books a la Carte Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
Ch. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQ
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- The wavelength of the four Balmer series lines for hydrogen are found to be 410.3, 434.2, 486.3, and 656.5 nm. What average percentage difference is found between these wavelength numbers and those predicted by 1=R(1nf21ni2) ? It is amazing how well a simple formula (disconnected originally from theory) could duplicate this phenomenon.arrow_forward(a) How many electrons can be in the n=4 shell? (b) What are its subshells, and how many electrons can be in each?arrow_forward(a) Calculate the magnitude of the angular momentum for an l=1 electron. (b) Compare your answer to the value Bohr proposed for the n=1 state.arrow_forward
- The energy levels available to the electron in the hydrogen atom (Z = 1) are described by the following formula: ? = (−ℎ???) [Z2/n2] = −2.178 × 10-18J[ 1 2 /? 2 ] Describe the Bohr model of the hydrogen atom. Calculate the energy required to excite the hydrogen electron from level n = 1 to level n = 4.arrow_forwardThe energy E of the electron in a hydrogen atom can be calculated from the Bohr formula: E=−Ry/n2 In this equation Ry stands for the Rydberg energy, and n stands for the principal quantum number of the orbital that holds the electron. (You can find the value of the Rydberg energy using the Data button on the ALEKS toolbar.) Calculate the wavelength of the line in the absorption line spectrum of hydrogen caused by the transition of the electron from an orbital with n=6 to an orbital with n=12. Round your answer to 3 significant digits.arrow_forwardThe energy E of the electron in a hydrogen atom can be calculated from the Bohr formula: = E= −Ry/n^2 In this equation Ry stands for the Rydberg energy, and n stands for the principal quantum number of the orbital that holds the electron. (You can find the value of the Rydberg energy using the Data button on the ALEKS toolbar.) Calculate the wavelength of the line in the absorption line spectrum of hydrogen caused by the transition of the electron from an orbital with =n7 to an orbital with =n12 . Round your answer to 3 significant digits.arrow_forward
- Draw to careful scale an energy-level diagram for hydrogen for levels with n=1, 2, 3, 4, inf. Show the following on the diagram: (a) the limit of the Lyman series, (b) theHb line, (c) the transition between the state whose binding energy (= energy needed to remove the electron from the atom) is 1.51 eV and the state whose excitation energy is 10.2 eV, and (d) the longest wavelength line of the Paschen series.arrow_forwardAs shown the wavelengths of the first four lines in the visible spectrum of hydrogen.a. Determine the Balmer formula n and m values for these wavelengths.b. Predict the wavelength of the fifth line in the spectrum.arrow_forwardIn a H-atom series, the shortest wavelength transition is registered at 821 nm. plsease explain the step by step (1) Identify the transition. (2) Calculate the energy of the above transition in J and eV. (3) What is this series? (4) Calculate the longest wavelength in the series?arrow_forward
- What's the energy of the photon that is emitted by the hydrogen atom when it makes a transition from the n=4 to the n=2 energy level? Answer in eVarrow_forwardWhat is the radius in nm of the electron orbit of a hydrogen atom for n = 4? answer in (nm)arrow_forwardThe ground state energy of hydrogen atom is -13.6 eV. (i) What is the kinetic energy of an electron in the 2nd excited state? (ii) If the electron jumps to the ground state from the 2nd excited state, calculate the wavelength of the spectral line emitted.arrow_forward
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