GRADE 9 PRACTICE
Physics Problems: Atomic structure, Grade 9
Atomic models, spectra, radioactivity and nuclear composition.
Here the conditions and analysis of the solution can be read without an account. In the simulator, you need to collect the same analyzes yourself: “Given,” formulas, order of steps and answer.
Problem statements
The answer options are there to check against, and the walkthrough opens under each problem.
Problem #55
Atom, nucleus, spectra and radioactivityWhat concept corresponds to the description: “The nucleus consists of protons and neutrons, collectively called nucleons and held together by nuclear forces.”?
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- \text{Description}
- \text{The nucleus is made up of protons and neutrons, collectively called nucleons, held together by nuclear forces.}
\text{name concepts} - ?
- \text{Let's compare approval with definition}
Z counts protons and identifies the element; A counts protons plus neutrons. Isotopes differ in neutron number. A hydrogen-1 nucleus contains just one proton; not every nucleus must contain neutrons.
- \text{Let's formulate conclusion}\text{Concept} = \text{Composition of the atomic nucleus}
Answer\text{Concept} = \text{Composition of the atomic nucleus}
Problem #56
Atom, nucleus, spectra and radioactivityWhat concept does the description correspond to: “The nuclear model explains the scattering of alpha particles, and the discrete energy states of the atom explain the line emission and absorption spectra.”?
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- \text{Description}
- \text{The nuclear model explains alpha-particle scattering; discrete atomic energy states explain emission and absorption line spectra.}
\text{name concepts} - ?
- \text{Let's compare approval with definition}
An atom emits or absorbs a photon when moving between allowed energy states.
- \text{Let's formulate conclusion}\text{Concept} = \text{Atomic models and spectra}
Answer\text{Concept} = \text{Atomic models and spectra}
Problem #57
Atomic structureA neutral atom has a charge number of 13 and a mass number of 27. How many protons, electrons and neutrons does it have?
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- Z
- 13
- A
- 27
- q_{\text{атома}}
- 0
N_p - ?N_e - ?N_n - ?
- N_p=ZN_p = 13
- N_e=N_pN_e = 13
The atom is neutral.
- N_n=A-ZN_n=27-13N_n = 14
Answer13\,\text{протонов}13\,\text{электронов}14\,\text{нейтронов}
Problem #172
Atom, nucleus, spectra and radioactivityNucleus mass number 23, charge number 11. How many neutrons are in the nucleus?
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- A
- 23\,\text{нуклонов}
- Z
- 11\,\text{протонов}
N - ?
- N=A-ZN=23 - 11N=12\,\text{нейтронов}
The mass number equals the total number of protons and neutrons.
Answer12\,\text{нейтронов}
Problem #173
Atom, nucleus, spectra and radioactivityNucleus mass number 27, charge number 13. How many neutrons are in the nucleus?
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- A
- 27\,\text{нуклонов}
- Z
- 13\,\text{протонов}
N - ?
- N=A-ZN=27 - 13N=14\,\text{нейтронов}
The mass number equals the total number of protons and neutrons.
Answer14\,\text{нейтронов}
Problem #174
Atom, nucleus, spectra and radioactivityNucleus with mass number 238 and charge number 92 released one alpha particle. How many neutrons are in the daughter nucleus?
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- A
- 238\,\text{нуклонов}
- Z
- 92\,\text{протонов}
N - ?
- A_2=A-4A_2=238 - 4A_2=234\,\text{нуклонов}
An alpha particle carries away four nucleons.
- Z_2=Z-2Z_2=92 - 2Z_2=90\,\text{протонов}
Of these, two are protons.
- N=A_2-Z_2N=234 - 90N=144\,\text{нейтронов}
The number of neutrons also decreases by two.
Answer144\,\text{нейтронов}
Problem #175
Atom, nucleus, spectra and radioactivityNucleus with mass number 226 and charge number 88 released one alpha particle. How many neutrons are in the daughter nucleus?
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- A
- 226\,\text{нуклонов}
- Z
- 88\,\text{протонов}
N - ?
- A_2=A-4A_2=226 - 4A_2=222\,\text{нуклонов}
An alpha particle carries away four nucleons.
- Z_2=Z-2Z_2=88 - 2Z_2=86\,\text{протонов}
Of these, two are protons.
- N=A_2-Z_2N=222 - 86N=136\,\text{нейтронов}
The number of neutrons also decreases by two.
Answer136\,\text{нейтронов}
Problem #176
Atom, nucleus, spectra and radioactivityThe sample contained 8000 radioactive nuclei. After three half-lives, how many nuclei have decayed? The sample is not replenished.
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- N
- 8000\,\text{ядер}
D - ?
- N_1=\frac{N}{2}N_1=\frac{8000}{2}N_1=4000\,\text{ядер}
After the first period, half of the nuclei remain.
- N_3=\frac{N_1}{2^2}N_3=\frac{4000}{4}N_3=1000\,\text{ядер}
Over two more periods, the amount decreases fourfold.
- D=N-N_3D=8000 - 1000D=7000\,\text{ядер}
The number of decayed nuclei is required.
Answer7000\,\text{ядер}
Problem #177
Atom, nucleus, spectra and radioactivityThe sample contained 12000 radioactive nuclei. After three half-lives, how many nuclei have decayed? The sample is not replenished.
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- N
- 12000\,\text{ядер}
D - ?
- N_1=\frac{N}{2}N_1=\frac{12000}{2}N_1=6000\,\text{ядер}
After the first period, half of the nuclei remain.
- N_3=\frac{N_1}{2^2}N_3=\frac{6000}{4}N_3=1500\,\text{ядер}
Over two more periods, the amount decreases fourfold.
- D=N-N_3D=12000 - 1500D=10500\,\text{ядер}
The number of decayed nuclei is required.
Answer10500\,\text{ядер}
The theory behind these problems
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Formulas by topic
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