In the Bohr model the energy of the hydrogen atom is E_n = -13.6/n² eV. The negative sign indicates that the electron is
bound to the nucleus
moving away from the nucleus
positively charged
at rest
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WhyA negative energy means the electron is bound to the nucleus.
2Multiple choice · Hard
In the Bohr model the orbital radius is proportional to n². The ratio of the radius in the first excited state (n = 2) to that in the second excited state (n = 3) is
4 : 9
2 : 3
1 : 2
9 : 4
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Whyr is proportional to n², so 2² : 3² = 4 : 9.
3Multiple choice · Easy
The energy needed to remove the electron from a ground-state (n = 1) hydrogen atom is
13.6 eV
3.4 eV
1.5 eV
27.2 eV
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WhyThe ionisation energy of hydrogen is 13.6 eV.
4Fill in the blank · Medium
In E_n = -13.6/n² eV, the sign shows the electron is bound and energy is needed to free it.
Answer:
negative / minus
WhyThe energy is negative for bound states.
5Fill in the blank · Hard
In the Bohr model the radius of an allowed orbit is proportional to n to the power (a power of the quantum number).
Answer:
2 / two / squared
Whyr is proportional to n².
6Fill in the blank · Easy
The minimum energy needed to ionise a hydrogen atom in its ground state is eV.
Answer:
13.6 / 13.6 eV
WhyThis is the ionisation energy.
7Multiple choice · Medium
Photons of energy 7 eV strike a metal and eject electrons with a maximum kinetic energy of 4 eV. The work function of the metal is
3 eV
11 eV
4 eV
1.75 eV
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Whyφ = hf - KE_max = 7 - 4 = 3 eV.
8Multiple choice · Hard
For the metal above (work function 3 eV), photons of energy 4 eV are used. The stopping potential is
1 V
0 V
3 V
4 V
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WhyKE_max = 4 - 3 = 1 eV, so the stopping potential is 1 V.
9Multiple choice · Easy
In the photoelectric effect, increasing the intensity of light (at the same frequency) increases the
number of photoelectrons emitted per second
maximum kinetic energy of each electron
work function of the metal
threshold frequency
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WhyMore intense light ejects more photoelectrons per second.
10Fill in the blank · Medium
The minimum energy needed to release an electron from a metal surface is called the function.
Answer:
work
WhyThis is the work function.
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