Question 1

A gas-discharge tube filled with hydrogen gas is placed in an external magnetic field and the spectrum is observed.Which of the following is found?

Accepted Answer

A) The 1S state is split into multiple energy levels. 
B) The 2S state is split into multiple energy levels. 
C) The 3S state is split into multiple energy levels. 
D) The 4S state is split into multiple energy levels. 
E) The degeneracy of the states for l > 0 is removed. 
A) The 1S state is split into multiple energy levels. 
B) The 2S state is split into multiple energy levels. 
C) The 3S state is split into multiple energy levels. 
D) The 4S state is split into multiple energy levels. 
E) The degeneracy of the states for l > 0 is removed.

Question 2

The possible orbital quantum numbers of an electron are 0,1,3,4,and 5.Its principal quantum number,n,and the largest magnetic quantum number,ml are

Accepted Answer

A) 5 and 5 
B) 6 and 5 
C) 4 and 3 
D) 6 and 4 
E) 5 and 4 
A) 5 and 5 
B) 6 and 5 
C) 4 and 3 
D) 6 and 4 
E) 5 and 4

Question 3

An electron undergoes a transition from n = 2 to n = 5.According to Bohr's model,the change in angular momentum of the electron is

Accepted Answer

A)    
B)    
C)    
D)    
E) None of these is correct. 
A)    
B)    
C)    
D)    
E) None of these is correct.

Question 4

A K$\beta$ X-ray line of wavelength 0.1641 nm is emitted by a certain metal.What is the value of Z and which element is it?

Accepted Answer

A) 24,Cr 
B) 25,Mn 
C) 26,Fe 
D) 27,Co 
E) 28,Ni 
A) 24,Cr 
B) 25,Mn 
C) 26,Fe 
D) 27,Co 
E) 28,Ni

Question 5

What is the ratio of the radius of the n = 3 orbit to that of the n = 2 orbit?

Accepted Answer

A) 1.50 
B) 4.50 
C) 2.25 
D) 0.666 
E) None of these is correct. 
A) 1.50 
B) 4.50 
C) 2.25 
D) 0.666 
E) None of these is correct.

Question 6

A hydrogen atom is in a state with principal quantum number n = 3.A possible value for its orbital angular momentum is

Accepted Answer

A) zero 
B)    
C)    
D)    
E)    
A) zero 
B)    
C)    
D)    
E)

Question 7

The binding energy of hydrogen is 13.6 eV.The wavelength of the emission line corresponding to the transition from n = 4 to n = 3 is

Accepted Answer

A) 1.9 $\times$ 10-6 m 
B) 8.2 $\times$ 10-7 m 
C) 5.3 $\times$ 105 m 
D) 3.0 $\times$ 10-25 m 
E) 1.6 $\times$ 1014 m 
A) 1.9 $\times$ 10-6 m 
B) 8.2 $\times$ 10-7 m 
C) 5.3 $\times$ 105 m 
D) 3.0 $\times$ 10-25 m 
E) 1.6 $\times$ 1014 m

Question 8

If the potential energy of an electron in the Bohr's model is -U0,then the kinetic energy and the total energy of the electron are,respectively,

Accepted Answer

A) U0 and 0.5U0 
B) 0.5U0 and -0.5U0 
C) 0.5U0 and 0.5U0 
D) U0 and -0.5U0 
E) 0.5U0 and U0 
A) U0 and 0.5U0 
B) 0.5U0 and -0.5U0 
C) 0.5U0 and 0.5U0 
D) U0 and -0.5U0 
E) 0.5U0 and U0

Question 9

The electron in a hydrogen atom has an orbital radius of 0.0500 nm.To avoid being pulled into the nucleus by electrostatic attraction,the electron must have an orbital speed of

Accepted Answer

A) 7.12 km/s 
B) 25.2 km/s 
C) 1.02 $\times$ 106 m/s 
D) 2.25 $\times$ 106 m/s 
E) 5.0 $\times$ 108 m/s 
A) 7.12 km/s 
B) 25.2 km/s 
C) 1.02 $\times$ 106 m/s 
D) 2.25 $\times$ 106 m/s 
E) 5.0 $\times$ 108 m/s

Question 10

For the hydrogen atom in the ground state,the radial probability density is   The probability of finding the electron in range $\Delta$r = 0.08a0 at r = a0 is approximately

Accepted Answer

A) 3.24% 
B) 4.33% 
C) 5.87% 
D) 6.25% 
E) 7.43% 
A) 3.24% 
B) 4.33% 
C) 5.87% 
D) 6.25% 
E) 7.43%

Question 11

The principle quantum number of an electron is 3.The possible magnitudes of the orbital angular momentum,L,are

Accepted Answer

A)    
B)    
C)    
D)    
E) None of these is correct. 
A)    
B)    
C)    
D)    
E) None of these is correct.

Question 12

Mosely showed that the wavelength of K$\alpha$characteristic X-ray radiation is directly related to the nuclear property of

Accepted Answer

A) atomic number. 
B) mass number. 
C) neutron number. 
D) mass defect. 
E) binding energy per nucleon. 
A) atomic number. 
B) mass number. 
C) neutron number. 
D) mass defect. 
E) binding energy per nucleon.

Question 13

The first Bohr radius,r0,is 0.0529 nm and the corresponding energy,E0,is 13.6 eV.The wavelength of the light emitted as a hydrogen atom undergoes a transition from state n = 3 to n = 2 is

Accepted Answer

A) 656 nm 
B) 486 nm 
C) 434 nm 
D) 410 nm 
E) None of these is correct. 
A) 656 nm 
B) 486 nm 
C) 434 nm 
D) 410 nm 
E) None of these is correct.

Question 14

J.J.Thomson's model of an atom

Accepted Answer

A) had electrons embedded in some kind of fluid that contained most of the mass of the atom. 
B) held that the fluid containing most of the mass of the atom had enough positive charge to make the atom electrically neutral. 
C) failed to predict the observed frequencies for any atom. 
D) depended upon electric forces to produce stability. 
E) All of these are correct. 
A) had electrons embedded in some kind of fluid that contained most of the mass of the atom. 
B) held that the fluid containing most of the mass of the atom had enough positive charge to make the atom electrically neutral. 
C) failed to predict the observed frequencies for any atom. 
D) depended upon electric forces to produce stability. 
E) All of these are correct.

Question 15

What is the energy difference between the transition with the longest wavelength and the transition with the shortest wavelength in the Balmer series?

Accepted Answer

A) 10.2 eV 
B) 3.4 eV 
C) 1.51 eV 
D) 12.1 eV 
E) 0.66 eV 
A) 10.2 eV 
B) 3.4 eV 
C) 1.51 eV 
D) 12.1 eV 
E) 0.66 eV

Question 16

The binding energy of a hydrogen atom is inversely proportional to the square of the principal quantum number n.The binding energy of the ground level of atomic hydrogen is 13.6 eV.The binding energy of the second (n = 2)level of the hydrogen atom is

Accepted Answer

A) +13.6 eV 
B) -13.6 eV 
C) -3.4 eV 
D) -54.8 eV 
E) +3.4 eV 
A) +13.6 eV 
B) -13.6 eV 
C) -3.4 eV 
D) -54.8 eV 
E) +3.4 eV

Question 17

Bohr's quantum condition on electron orbits required

Accepted Answer

A) that the angular momentum of the electron about the hydrogen nucleus equal nh/(2$\pi$). 
B) that no more than one electron occupy a given stationary state. 
C) the electrons to spiral into the nucleus while radiating electromagnetic waves. 
D) that the energies of an electron in a hydrogen atom be equal to nEo,where Eo is a constant energy and n is an integer. 
E) None of these is correct. 
A) that the angular momentum of the electron about the hydrogen nucleus equal nh/(2$\pi$). 
B) that no more than one electron occupy a given stationary state. 
C) the electrons to spiral into the nucleus while radiating electromagnetic waves. 
D) that the energies of an electron in a hydrogen atom be equal to nEo,where Eo is a constant energy and n is an integer. 
E) None of these is correct.

Question 18

The radii of the Bohr orbits in atomic hydrogen are given by   If the radius of the first Bohr orbit (n = 1)is 0.053 nm,the radius of the third Bohr orbit (n = 3)is

Accepted Answer

A) 0.16 nm 
B) 0.018 nm 
C) 0.48 nm 
D) 0.35 nm 
E) 1.3 nm 
A) 0.16 nm 
B) 0.018 nm 
C) 0.48 nm 
D) 0.35 nm 
E) 1.3 nm

Question 19

Which of the following transitions are allowed in the H atom? (i)5S to 4P,(ii)4D to 3D,(iii)4D to 3S,(iv)4P to 3S,(v)1S to 2P

Accepted Answer

A) i,ii,v 
B) i,iv 
C) i,iv,v 
D) iv,v 
E) all are allowed 
A) i,ii,v 
B) i,iv 
C) i,iv,v 
D) iv,v 
E) all are allowed

Question 20

A hydrogen atom is in the state n = 4,   = 3.The possible values of j are

Accepted Answer

A) 1/2 and 0 
B) 3/2 and 1/2 
C) 5/2 and 3/2 
D) 7/2 and 5/2 
E) 9/2 and 7/2 
A) 1/2 and 0 
B) 3/2 and 1/2 
C) 5/2 and 3/2 
D) 7/2 and 5/2 
E) 9/2 and 7/2

Exam 36: Atoms

A gas-discharge tube filled with hydrogen gas is placed in an external magnetic field and the spectrum is observed.Which of the following is found?

The possible orbital quantum numbers of an electron are 0,1,3,4,and 5.Its principal quantum number,n,and the largest magnetic quantum number,ml are

An electron undergoes a transition from n = 2 to n = 5.According to Bohr's model,the change in angular momentum of the electron is

A K β\betaβ X-ray line of wavelength 0.1641 nm is emitted by a certain metal.What is the value of Z and which element is it?

What is the ratio of the radius of the n = 3 orbit to that of the n = 2 orbit?

A hydrogen atom is in a state with principal quantum number n = 3.A possible value for its orbital angular momentum is

The binding energy of hydrogen is 13.6 eV.The wavelength of the emission line corresponding to the transition from n = 4 to n = 3 is

If the potential energy of an electron in the Bohr's model is -U0,then the kinetic energy and the total energy of the electron are,respectively,

The electron in a hydrogen atom has an orbital radius of 0.0500 nm.To avoid being pulled into the nucleus by electrostatic attraction,the electron must have an orbital speed of

For the hydrogen atom in the ground state,the radial probability density is The probability of finding the electron in range Δ\DeltaΔ r = 0.08a0 at r = a0 is approximately

The principle quantum number of an electron is 3.The possible magnitudes of the orbital angular momentum,L,are

Mosely showed that the wavelength of K α\alphaα characteristic X-ray radiation is directly related to the nuclear property of

The first Bohr radius,r0,is 0.0529 nm and the corresponding energy,E0,is 13.6 eV.The wavelength of the light emitted as a hydrogen atom undergoes a transition from state n = 3 to n = 2 is

J.J.Thomson's model of an atom

What is the energy difference between the transition with the longest wavelength and the transition with the shortest wavelength in the Balmer series?

The binding energy of a hydrogen atom is inversely proportional to the square of the principal quantum number n.The binding energy of the ground level of atomic hydrogen is 13.6 eV.The binding energy of the second (n = 2)level of the hydrogen atom is

Bohr's quantum condition on electron orbits required

The radii of the Bohr orbits in atomic hydrogen are given by If the radius of the first Bohr orbit (n = 1)is 0.053 nm,the radius of the third Bohr orbit (n = 3)is

Which of the following transitions are allowed in the H atom? (i)5S to 4P,(ii)4D to 3D,(iii)4D to 3S,(iv)4P to 3S,(v)1S to 2P

A hydrogen atom is in the state n = 4, = 3.The possible values of j are

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The possible orbital quantum numbers of an electron are 0,1,3,4,and 5.Its principal quantum number,n,and the largest magnetic quantum number,m_l are

A K_$\beta$ X-ray line of wavelength 0.1641 nm is emitted by a certain metal.What is the value of Z and which element is it?

If the potential energy of an electron in the Bohr's model is -U₀,then the kinetic energy and the total energy of the electron are,respectively,

Mosely showed that the wavelength of K_$\alpha$characteristic X-ray radiation is directly related to the nuclear property of

The first Bohr radius,r₀,is 0.0529 nm and the corresponding energy,E₀,is 13.6 eV.The wavelength of the light emitted as a hydrogen atom undergoes a transition from state n = 3 to n = 2 is