11TH GRADE PRACTICE

Physics Problems: Nuclear physics, Grade 11

Nuclear composition, binding energy and radioactivity.

14 problems1 subtopics

Solve interactively

CONDITIONS

Problems

№ 76

Problem 76

Nuclear physics

What is the minimum distance that an alpha particle can approach a gold nucleus with a speed of $2\cdot10^{7}\,\text{m/s}$ ?

$2{,}71 \cdot 10^{-13}\,\text{m}$
$2{,}71 \cdot 10^{-14}\,\text{m}$
$1{,}355 \cdot 10^{-14}\,\text{m}$
$5{,}42 \cdot 10^{-14}\,\text{m}$

№ 78

Problem 78

Nuclear physics

During the alpha decay of a resting uranium-238 nucleus, an alpha particle is emitted at a speed of $2\cdot10^{7}\,\text{m/s}$ . What speed does the child core get? Compare its kinetic energy with the energy of an alpha particle.

$\left(1{,}7 \cdot 10^{5}\,\text{m/s};\ 0{,}00855\,\text{dolya energii}\right)$
$\left(6{,}8 \cdot 10^{5}\,\text{m/s};\ 0{,}0342\,\text{dolya energii}\right)$
$\left(3{,}4 \cdot 10^{6}\,\text{m/s};\ 0{,}171\,\text{dolya energii}\right)$
$\left(3{,}4 \cdot 10^{5}\,\text{m/s};\ 0{,}0171\,\text{dolya energii}\right)$

№ 79

Problem 79

Nuclear physics

The uranium-238 nucleus, as a result of alpha and beta decays, turned into a lead-206 nucleus. Determine the number of alpha and beta decays.

$\left(8\,\alpha\text{-raspadov};\ 6\,\beta\text{-raspadov}\right)$
$\left(4\,\alpha\text{-raspadov};\ 3\,\beta\text{-raspadov}\right)$
$\left(16\,\alpha\text{-raspadov};\ 12\,\beta\text{-raspadov}\right)$
$\left(80\,\alpha\text{-raspadov};\ 60\,\beta\text{-raspadov}\right)$

№ 80

Problem 80

Nuclear physics

There are $8\,\text{kg}$ of radioactive cesium-135 with a half-life of $27$ years. Determine the mass of decayed cesium after $135$ years.

$77{,}5\,\text{kg}$
$7{,}75\,\text{kg}$
$3{,}875\,\text{kg}$
$15{,}5\,\text{kg}$

№ 81

Problem 81

Nuclear physics

How much energy will be released if the mass of the system decreases by $1\,\text{amu}$ ?

$2{,}98 \cdot 10^{-10}\,\text{Dzh}$
$1{,}49 \cdot 10^{-9}\,\text{Dzh}$
$1{,}49 \cdot 10^{-10}\,\text{Dzh}$
$7{,}45 \cdot 10^{-11}\,\text{Dzh}$

№ 82

Problem 82

Nuclear physics

The mass of a beryllium-9 atom is $9{,}01219\,\text{amu}$ . Determine the mass defect and binding energy of the nucleus.

$\left(0{,}031215\,\text{a.e.m.};\ 29{,}05\,\text{MeV}\right)$
$\left(0{,}12486\,\text{a.e.m.};\ 116{,}2\,\text{MeV}\right)$
$\left(0{,}6243\,\text{a.e.m.};\ 581\,\text{MeV}\right)$
$\left(0{,}06243\,\text{a.e.m.};\ 58{,}1\,\text{MeV}\right)$

№ 83

Problem 83

Nuclear physics

Determine the mass defect, total and specific binding energy of the helium-4 nucleus.

$\left(0{,}03033\,\text{a.e.m.};\ 28{,}23\,\text{MeV};\ 7{,}04\,\text{MeV/nuklon}\right)$
$\left(0{,}015165\,\text{a.e.m.};\ 14{,}115\,\text{MeV};\ 3{,}52\,\text{MeV/nuklon}\right)$
$\left(0{,}06066\,\text{a.e.m.};\ 56{,}46\,\text{MeV};\ 14{,}08\,\text{MeV/nuklon}\right)$
$\left(0{,}3033\,\text{a.e.m.};\ 282{,}3\,\text{MeV};\ 70{,}4\,\text{MeV/nuklon}\right)$

№ 84

Problem 84

Nuclear physics

How does the energy change in the reactions $^{4}_{2}He+^{14}_{7}N\to{}^{1}_{1}H+^{17}_{8}O$ and $^{4}_{2}He+^{9}_{4}Be\to{}^{1}_{0}n+^{12}_{6}C$ ?

$\left(0\,\text{MeV};\ 0\,\text{MeV}\right)$
$\left(1{,}2\,\text{MeV pogloshchaetsya};\ 5{,}7\,\text{MeV vydelyaetsya}\right)$
$\left(1{,}2\,\text{MeV vydelyaetsya};\ 5{,}7\,\text{MeV pogloshchaetsya}\right)$
$\left(6{,}9\,\text{MeV vydelyaetsya v obeikh}\right)$

№ 85

Problem 85

Nuclear physics

How much energy will be released during the complete fission of $1\,\text{kg}$ of uranium-235? How much uranium does a reactor with a thermal power of $3200\,\text{MW}$ consume per year? Assume the energy of one fission is $200\,\text{MeV}$ .

$\left(1{,}64 \cdot 10^{14}\,\text{Dzh};\ 2470\,\text{kg}\right)$
$\left(8{,}2 \cdot 10^{14}\,\text{Dzh};\ 12350\,\text{kg}\right)$
$\left(8{,}2 \cdot 10^{13}\,\text{Dzh};\ 1235\,\text{kg}\right)$
$\left(4{,}1 \cdot 10^{13}\,\text{Dzh};\ 617{,}5\,\text{kg}\right)$

№ 86

Problem 86

Nuclear physics

Determine the energy yield of the reaction of the deuterium compound with tritium $^{2}_{1}H+^{3}_{1}H\to{}^{4}_{2}He+^{1}_{0}n$ .

$8{,}8\,\text{MeV}$
$35{,}2\,\text{MeV}$
$176\,\text{MeV}$
$17{,}6\,\text{MeV}$

№ 87

Problem 87

Nuclear physics

Determine the mass defect, total and specific binding energy of the oxygen-17 nucleus.

$\left(0{,}14084\,\text{a.e.m.};\ 131{,}2\,\text{MeV};\ 7{,}72\,\text{MeV/nuklon}\right)$
$\left(0{,}07042\,\text{a.e.m.};\ 65{,}6\,\text{MeV};\ 3{,}86\,\text{MeV/nuklon}\right)$
$\left(0{,}28168\,\text{a.e.m.};\ 262{,}4\,\text{MeV};\ 15{,}44\,\text{MeV/nuklon}\right)$
$\left(1{,}4084\,\text{a.e.m.};\ 1312\,\text{MeV};\ 77{,}2\,\text{MeV/nuklon}\right)$

№ 88

Problem 88

Nuclear physics

There is $40\,\text{mg}$ of a drug with a half-life of $8$ days. How long will it take for $5\,\text{mg}$ to remain? What fraction of atoms decays in a time equal to half the half-life?

$\left(240\,\text{sutok};\ 2{,}93\,\text{dolya}\right)$
$\left(24\,\text{sutok};\ 0{,}293\,\text{dolya}\right)$
$\left(12\,\text{sutok};\ 0{,}1465\,\text{dolya}\right)$
$\left(48\,\text{sutok};\ 0{,}586\,\text{dolya}\right)$

№ 89

Problem 89

Nuclear physics

Determine the energy yield of the nuclear reaction $^{2}_{1}H+^{7}_{3}Li\to{}^{1}_{0}n+2{}^{4}_{2}He$ .

$30\,\text{MeV}$
$150\,\text{MeV}$
$15\,\text{MeV}$
$7{,}5\,\text{MeV}$

№ 91

Problem 91

Nuclear physics

Determine the mass defect and binding energy of the boron-11 nucleus.

$\left(0{,}0818\,\text{a.e.m.};\ 76{,}2\,\text{MeV}\right)$
$\left(0{,}0409\,\text{a.e.m.};\ 38{,}1\,\text{MeV}\right)$
$\left(0{,}1636\,\text{a.e.m.};\ 152{,}4\,\text{MeV}\right)$
$\left(0{,}818\,\text{a.e.m.};\ 762\,\text{MeV}\right)$

THEORY

Lessons on the topic

Atomic nucleus and radioactivityNuclear composition, mass defect, binding energy and decay law.

Formulas by topic

PeriodT · with EnergyE, W · J