Chapter 7 Quiz - The Fundamental Nature of Matter & Energy

2.

If an electromagnetic wave has a frequency of 1.00 x 10¹⁰ Hz, what would be the energy contained in one photon of this wave?

3.00 x 10^-2 J
3.00 x 10^18 J
6.63 x 10^-24 J
6.63 x 10^-34 J

Correct Answer

A. 6.63 x 10^-24 J

Explanation

The energy of a photon can be calculated using the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency. In this question, the frequency of the electromagnetic wave is given as 1.00 x 10^10 Hz. Plugging this value into the equation, we get E = (6.63 x 10^-34 J.s)(1.00 x 10^10 Hz) = 6.63 x 10^-24 J. Therefore, the energy contained in one photon of this wave is 6.63 x 10^-24 J.

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3.

Assume a 3.31-kg ball is thrown at a speed of 1.00 m/s. What is the deBroglie wavelength of this object?

2.62 x 10^-31 m
2.00 x 10^-34 m
5.00 x 10^-35 m
3.31 x 10^-34 m

Correct Answer

A. 2.00 x 10^-34 m

Explanation

The deBroglie wavelength of an object is given by the equation λ = h/mv, where λ is the wavelength, h is Planck's constant, m is the mass of the object, and v is its velocity. In this case, the mass of the ball is given as 3.31 kg and its velocity is given as 1.00 m/s. Plugging these values into the equation, we get λ = (6.626 x 10^-34 J·s) / (3.31 kg x 1.00 m/s) = 2.00 x 10^-34 m.

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4.

Which of the following quantum leaps would require an absorption of energy?

N=2 to n=1
N=5 to n=3
N=4 to n=3
N=5 to n=6

Correct Answer

A. N=5 to n=6

Explanation

When an electron moves from a higher energy level (n=5) to a lower energy level (n=6), it is undergoing a quantum leap. In this case, since the electron is moving to a higher energy level, it requires an absorption of energy. This is because energy is needed to move the electron against the attractive force of the nucleus.

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5.

Which of the following words describes the lowest part of a wave?

Crest
Trough
Amplitude
Nadir

Correct Answer

A. Trough

Explanation

The lowest part of a wave is called the trough. In a wave, the crest is the highest point, while the trough is the lowest point. The amplitude refers to the distance between the crest or trough and the rest position of the wave. Nadir, on the other hand, is a term used in astronomy to describe the lowest point reached by a celestial body in its orbit. Therefore, the correct answer is trough.

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6.

Consider the only unpaired electron in an atom of aluminum. What is the m_l value for this electron?

3
1
0
-1

Correct Answer

A. -1

Explanation

The ml value for an electron refers to its magnetic quantum number, which determines the orientation of the electron's orbital in space. It can have integer values ranging from -l to +l, where l is the azimuthal quantum number. In the case of an atom of aluminum, the unpaired electron is in the p orbital, which has an azimuthal quantum number of 1. Therefore, the ml value for this electron can be either -1, 0, or +1. However, since the question states that the electron is unpaired, it means that it is the only electron in its orbital. According to Hund's rule, when multiple orbitals of the same energy level are available, electrons will occupy separate orbitals with parallel spins before pairing up. In this case, the unpaired electron will occupy the p orbital with ml value of -1.

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7.

Which element's sole unpaired electron has the quantum numbers n = 3 l = 2 m_l= -2 m_s = +1/2 ?

Sc
Ga
Al
Mg

Correct Answer

A. Sc

Explanation

Scandium (Sc) is the correct answer because it is the only element among the options that has an electron configuration of 3d1. The quantum numbers provided in the question match the quantum numbers of the unpaired electron in scandium.

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8.

The shape of a typical d orbital would be

Spherical
Figure-eight shaped
Four-leaf-clover shaped
Pinwheel shaped

Correct Answer

A. Four-leaf-clover shaped

Explanation

The correct answer is four-leaf-clover shaped. D orbitals have four lobes, each with a different orientation, giving them a shape similar to a four-leaf clover. This shape allows the d orbitals to have multiple orientations in space, which is important for their role in bonding and chemical reactions.

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9.

Hund's rule states that electrons cannot be

Placed randomly in orbitals
Paired until each orbital has an electron
Has sublevels such as 1p, 2d, etc.
In more than one location at the same time

Correct Answer

A. Paired until each orbital has an electron

Explanation

Hund's rule states that electrons cannot be placed randomly in orbitals. Instead, they must be paired until each orbital has an electron. This means that when filling the orbitals of an atom, each orbital must first have one electron before any of them can have a second electron. This rule helps to explain the observed electron configurations of atoms and the stability of their arrangements.

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10.

Which element has the electron configuration 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p²?

Titanium
Gallium
Tin
Germanium

Correct Answer

A. Germanium

Explanation

The electron configuration given in the question corresponds to the element germanium. Germanium has an atomic number of 32, and its electron configuration is 1s22s22p63s23p64s23d104p2. This configuration represents the distribution of electrons in the different energy levels and orbitals of the atom.

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11.

Which element has the electron configuration 1s²2s²2p⁶3s²3p⁶4s²3d⁴?

Vanadium
Chromium
Manganese
None of the above

Correct Answer

A. None of the above

Explanation

The electron configuration given in the question is 1s22s22p63s23p64s23d4. This configuration corresponds to the element chromium (Cr), not vanadium (V) or manganese (Mn). Chromium has the electron configuration 1s22s22p63s23p64s23d4, which matches the given configuration. Therefore, the correct answer is none of the above.

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12.

Which of the following pairs of quantum numbers would be IMPOSSIBLE?

N = 3 l = 2
N = 2 l = 2
N = 10 l = 4
More than one of the above

Correct Answer

A. N = 2 l = 2

Explanation

The quantum numbers n and l represent the energy level and the shape of an electron's orbital, respectively. The value of n must be a positive integer, while the value of l must be an integer ranging from 0 to (n-1). In this case, since n = 2 and l = 2, it is impossible because the value of l cannot exceed the value of n-1.

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13.

What is the maximum number of orbitals in the 3d sublevel?

10
1
3
5

Correct Answer

A. 5

Explanation

The 3d sublevel can hold a maximum of 5 orbitals. This is because the d sublevel has 5 orbitals (dxy, dyz, dzx, dx2-y2, and dz2) and each orbital can hold a maximum of 2 electrons. Therefore, the maximum number of orbitals in the 3d sublevel is 5.

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14.

How many electrons are in the 4th energy level of a zirconium atom?

2
8
10
18

Correct Answer

A. 10

Explanation

The 4th energy level of an atom can hold a maximum of 32 electrons. However, zirconium has an atomic number of 40, which means it has 40 electrons. To determine the number of electrons in the 4th energy level, we need to subtract the electrons in the previous energy levels. The first energy level can hold a maximum of 2 electrons, the second energy level can hold a maximum of 8 electrons, and the third energy level can hold a maximum of 18 electrons. Therefore, the number of electrons in the 4th energy level of a zirconium atom is 12.

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15.

The Heisenberg uncertainty principle states that

An electron's exact location and velocity cannot be known with certainty
No two electrons in an atom can have the same set of four quantum numbers
Electrons are filled into orbitals in an ordered fashion
Only two electrons can fit in an orbital

Correct Answer

A. An electron's exact location and velocity cannot be known with certainty

Explanation

The Heisenberg uncertainty principle states that an electron's exact location and velocity cannot be known with certainty. This principle is a fundamental concept in quantum mechanics and is a result of the wave-particle duality of electrons. According to the principle, the more accurately one tries to measure the position of an electron, the less accurately its velocity can be determined, and vice versa. This limitation arises from the inherent nature of quantum particles and the wave-like behavior of their wavefunctions. Therefore, it is impossible to simultaneously know both the exact position and velocity of an electron.

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Chapter 7 Quiz - The Fundamental Nature Of Matter & Energy

If the wavelength of an electromagnetic wave is 3.00 meters, then what is its frequency?

Quiz Preview

If an electromagnetic wave has a frequency of 1.00 x 10¹⁰ Hz, what would be the energy contained in one photon of this wave?

Assume a 3.31-kg ball is thrown at a speed of 1.00 m/s. What is the deBroglie wavelength of this object?

Which of the following quantum leaps would require an absorption of energy?

Which of the following words describes the lowest part of a wave?

Consider the only unpaired electron in an atom of aluminum. What is the m_l value for this electron?

Which element's sole unpaired electron has the quantum numbers n = 3 l = 2 m_l= -2 m_s = +1/2 ?

The shape of a typical d orbital would be

Hund's rule states that electrons cannot be

Which element has the electron configuration 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p²?

Which element has the electron configuration 1s²2s²2p⁶3s²3p⁶4s²3d⁴?

Which of the following pairs of quantum numbers would be IMPOSSIBLE?

What is the maximum number of orbitals in the 3d sublevel?

How many electrons are in the 4th energy level of a zirconium atom?

The Heisenberg uncertainty principle states that

Chapter 7 Quiz - The Fundamental Nature Of Matter & Energy

If the wavelength of an electromagnetic wave is 3.00 meters, then what is its frequency?

Quiz Preview

If an electromagnetic wave has a frequency of 1.00 x 1010 Hz, what would be the energy contained in one photon of this wave?

Assume a 3.31-kg ball is thrown at a speed of 1.00 m/s. What is the deBroglie wavelength of this object?

Which of the following quantum leaps would require an absorption of energy?

Which of the following words describes the lowest part of a wave?

Consider the only unpaired electron in an atom of aluminum. What is the ml value for this electron?

Which element's sole unpaired electron has the quantum numbers n = 3 l = 2 ml= -2 ms = +1/2 ?

The shape of a typical d orbital would be

Hund's rule states that electrons cannot be

Which element has the electron configuration 1s22s22p63s23p64s23d104p2?

Which element has the electron configuration 1s22s22p63s23p64s23d4?

Which of the following pairs of quantum numbers would be IMPOSSIBLE?

What is the maximum number of orbitals in the 3d sublevel?

How many electrons are in the 4th energy level of a zirconium atom?

The Heisenberg uncertainty principle states that

If an electromagnetic wave has a frequency of 1.00 x 10¹⁰ Hz, what would be the energy contained in one photon of this wave?

Consider the only unpaired electron in an atom of aluminum. What is the m_l value for this electron?

Which element's sole unpaired electron has the quantum numbers n = 3 l = 2 m_l= -2 m_s = +1/2 ?

Which element has the electron configuration 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p²?

Which element has the electron configuration 1s²2s²2p⁶3s²3p⁶4s²3d⁴?