363927
A radioactive nucleus (initial mass number \(A\) and atomic number \(Z\)) emits \({\rm{3}}\alpha {\rm{ - }}\) particles and 2 positrons. the ratio of number of neutrons to that of protons in the final nucleus will be
1 \(\frac{{A - Z - 8}}{{Z - 4}}\)
2 \(\frac{{A - Z - 4}}{{Z - 8}}\)
3 \(\frac{{A - Z - 12}}{{Z - 4}}\)
4 \(\frac{{A - Z - 4}}{{Z - 2}}\)
Explanation:
As a result of emission of \(1\,\alpha {\rm{ - }}\)particle, the mass number decreases by 4 units and atomic number decreases by 2 units. And by the emmission of 1 positron the atomic number decreases by 1 unit but mass number remains constant. \(\therefore \) Mass number of final nucleus \( = A - 12\) Atomic number of final nucleus \( = Z - 8\) \(\therefore \) Number of neutrons \( = (A - 12) - (Z - 8)\) \( = A - Z - 4\) \(\therefore \) Required ratio \( = \frac{{A - Z - 4}}{{Z - 8}}\)
PHXII13:NUCLEI
363928
The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an
1 Isotope of parent
2 Isomer of parent
3 Isotone of parent
4 Isobar of parent
Explanation:
Let the radioactive substance be \({}_Z^AX\) .Radioactive transition is given by \({}_Z^AX\xrightarrow{{ - \alpha }}{}_{Z - 2}^{A - 4}X\xrightarrow{{ - 2\beta }}{}_Z^{A - 4}X\) The atoms of element having same atomic number but different mass numbers are called isotopes. So, \({}_Z^AX\) and \({}_Z^{A - 4}X\) are isotopes.
PHXII13:NUCLEI
363929
In the nuclear reaction, \({72^X}^{^{180}}\xrightarrow{{ - \alpha }}Y\xrightarrow{{ - \beta }}Z\xrightarrow{{ - \alpha }}A\xrightarrow{{ - \gamma }}P\) the atomic mass and atomic number of \(P\) are respectively
1 170,69
2 172, 69
3 172, 70
4 170, 70
Explanation:
When an atom emits an \(\alpha\)-particle its mass number decreases by 4 and atomic number by 2 . When it emits a \(\beta\)-particle its atomic number increases by 1 , while there is no change in mass number and atomic number in \(\gamma\)-rays emission.\(\begin{aligned}& { }_{72} X^{180} \xrightarrow{-\alpha}{ }_{70} Y^{176} \xrightarrow{-\beta} \\& { }_{71} Z^{176} \xrightarrow{-\alpha}{ }_{69} A^{172} \xrightarrow{-\gamma}{ }_{69} P^{172}\end{aligned}\)
PHXII13:NUCLEI
363930
\(_{90}^{232}Th\) an isotope of thorium decays in ten stages emitting six \(\alpha \)-particle and four \(\beta \)- particle in all. The end product of the decay is
363927
A radioactive nucleus (initial mass number \(A\) and atomic number \(Z\)) emits \({\rm{3}}\alpha {\rm{ - }}\) particles and 2 positrons. the ratio of number of neutrons to that of protons in the final nucleus will be
1 \(\frac{{A - Z - 8}}{{Z - 4}}\)
2 \(\frac{{A - Z - 4}}{{Z - 8}}\)
3 \(\frac{{A - Z - 12}}{{Z - 4}}\)
4 \(\frac{{A - Z - 4}}{{Z - 2}}\)
Explanation:
As a result of emission of \(1\,\alpha {\rm{ - }}\)particle, the mass number decreases by 4 units and atomic number decreases by 2 units. And by the emmission of 1 positron the atomic number decreases by 1 unit but mass number remains constant. \(\therefore \) Mass number of final nucleus \( = A - 12\) Atomic number of final nucleus \( = Z - 8\) \(\therefore \) Number of neutrons \( = (A - 12) - (Z - 8)\) \( = A - Z - 4\) \(\therefore \) Required ratio \( = \frac{{A - Z - 4}}{{Z - 8}}\)
PHXII13:NUCLEI
363928
The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an
1 Isotope of parent
2 Isomer of parent
3 Isotone of parent
4 Isobar of parent
Explanation:
Let the radioactive substance be \({}_Z^AX\) .Radioactive transition is given by \({}_Z^AX\xrightarrow{{ - \alpha }}{}_{Z - 2}^{A - 4}X\xrightarrow{{ - 2\beta }}{}_Z^{A - 4}X\) The atoms of element having same atomic number but different mass numbers are called isotopes. So, \({}_Z^AX\) and \({}_Z^{A - 4}X\) are isotopes.
PHXII13:NUCLEI
363929
In the nuclear reaction, \({72^X}^{^{180}}\xrightarrow{{ - \alpha }}Y\xrightarrow{{ - \beta }}Z\xrightarrow{{ - \alpha }}A\xrightarrow{{ - \gamma }}P\) the atomic mass and atomic number of \(P\) are respectively
1 170,69
2 172, 69
3 172, 70
4 170, 70
Explanation:
When an atom emits an \(\alpha\)-particle its mass number decreases by 4 and atomic number by 2 . When it emits a \(\beta\)-particle its atomic number increases by 1 , while there is no change in mass number and atomic number in \(\gamma\)-rays emission.\(\begin{aligned}& { }_{72} X^{180} \xrightarrow{-\alpha}{ }_{70} Y^{176} \xrightarrow{-\beta} \\& { }_{71} Z^{176} \xrightarrow{-\alpha}{ }_{69} A^{172} \xrightarrow{-\gamma}{ }_{69} P^{172}\end{aligned}\)
PHXII13:NUCLEI
363930
\(_{90}^{232}Th\) an isotope of thorium decays in ten stages emitting six \(\alpha \)-particle and four \(\beta \)- particle in all. The end product of the decay is
363927
A radioactive nucleus (initial mass number \(A\) and atomic number \(Z\)) emits \({\rm{3}}\alpha {\rm{ - }}\) particles and 2 positrons. the ratio of number of neutrons to that of protons in the final nucleus will be
1 \(\frac{{A - Z - 8}}{{Z - 4}}\)
2 \(\frac{{A - Z - 4}}{{Z - 8}}\)
3 \(\frac{{A - Z - 12}}{{Z - 4}}\)
4 \(\frac{{A - Z - 4}}{{Z - 2}}\)
Explanation:
As a result of emission of \(1\,\alpha {\rm{ - }}\)particle, the mass number decreases by 4 units and atomic number decreases by 2 units. And by the emmission of 1 positron the atomic number decreases by 1 unit but mass number remains constant. \(\therefore \) Mass number of final nucleus \( = A - 12\) Atomic number of final nucleus \( = Z - 8\) \(\therefore \) Number of neutrons \( = (A - 12) - (Z - 8)\) \( = A - Z - 4\) \(\therefore \) Required ratio \( = \frac{{A - Z - 4}}{{Z - 8}}\)
PHXII13:NUCLEI
363928
The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an
1 Isotope of parent
2 Isomer of parent
3 Isotone of parent
4 Isobar of parent
Explanation:
Let the radioactive substance be \({}_Z^AX\) .Radioactive transition is given by \({}_Z^AX\xrightarrow{{ - \alpha }}{}_{Z - 2}^{A - 4}X\xrightarrow{{ - 2\beta }}{}_Z^{A - 4}X\) The atoms of element having same atomic number but different mass numbers are called isotopes. So, \({}_Z^AX\) and \({}_Z^{A - 4}X\) are isotopes.
PHXII13:NUCLEI
363929
In the nuclear reaction, \({72^X}^{^{180}}\xrightarrow{{ - \alpha }}Y\xrightarrow{{ - \beta }}Z\xrightarrow{{ - \alpha }}A\xrightarrow{{ - \gamma }}P\) the atomic mass and atomic number of \(P\) are respectively
1 170,69
2 172, 69
3 172, 70
4 170, 70
Explanation:
When an atom emits an \(\alpha\)-particle its mass number decreases by 4 and atomic number by 2 . When it emits a \(\beta\)-particle its atomic number increases by 1 , while there is no change in mass number and atomic number in \(\gamma\)-rays emission.\(\begin{aligned}& { }_{72} X^{180} \xrightarrow{-\alpha}{ }_{70} Y^{176} \xrightarrow{-\beta} \\& { }_{71} Z^{176} \xrightarrow{-\alpha}{ }_{69} A^{172} \xrightarrow{-\gamma}{ }_{69} P^{172}\end{aligned}\)
PHXII13:NUCLEI
363930
\(_{90}^{232}Th\) an isotope of thorium decays in ten stages emitting six \(\alpha \)-particle and four \(\beta \)- particle in all. The end product of the decay is
363927
A radioactive nucleus (initial mass number \(A\) and atomic number \(Z\)) emits \({\rm{3}}\alpha {\rm{ - }}\) particles and 2 positrons. the ratio of number of neutrons to that of protons in the final nucleus will be
1 \(\frac{{A - Z - 8}}{{Z - 4}}\)
2 \(\frac{{A - Z - 4}}{{Z - 8}}\)
3 \(\frac{{A - Z - 12}}{{Z - 4}}\)
4 \(\frac{{A - Z - 4}}{{Z - 2}}\)
Explanation:
As a result of emission of \(1\,\alpha {\rm{ - }}\)particle, the mass number decreases by 4 units and atomic number decreases by 2 units. And by the emmission of 1 positron the atomic number decreases by 1 unit but mass number remains constant. \(\therefore \) Mass number of final nucleus \( = A - 12\) Atomic number of final nucleus \( = Z - 8\) \(\therefore \) Number of neutrons \( = (A - 12) - (Z - 8)\) \( = A - Z - 4\) \(\therefore \) Required ratio \( = \frac{{A - Z - 4}}{{Z - 8}}\)
PHXII13:NUCLEI
363928
The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an
1 Isotope of parent
2 Isomer of parent
3 Isotone of parent
4 Isobar of parent
Explanation:
Let the radioactive substance be \({}_Z^AX\) .Radioactive transition is given by \({}_Z^AX\xrightarrow{{ - \alpha }}{}_{Z - 2}^{A - 4}X\xrightarrow{{ - 2\beta }}{}_Z^{A - 4}X\) The atoms of element having same atomic number but different mass numbers are called isotopes. So, \({}_Z^AX\) and \({}_Z^{A - 4}X\) are isotopes.
PHXII13:NUCLEI
363929
In the nuclear reaction, \({72^X}^{^{180}}\xrightarrow{{ - \alpha }}Y\xrightarrow{{ - \beta }}Z\xrightarrow{{ - \alpha }}A\xrightarrow{{ - \gamma }}P\) the atomic mass and atomic number of \(P\) are respectively
1 170,69
2 172, 69
3 172, 70
4 170, 70
Explanation:
When an atom emits an \(\alpha\)-particle its mass number decreases by 4 and atomic number by 2 . When it emits a \(\beta\)-particle its atomic number increases by 1 , while there is no change in mass number and atomic number in \(\gamma\)-rays emission.\(\begin{aligned}& { }_{72} X^{180} \xrightarrow{-\alpha}{ }_{70} Y^{176} \xrightarrow{-\beta} \\& { }_{71} Z^{176} \xrightarrow{-\alpha}{ }_{69} A^{172} \xrightarrow{-\gamma}{ }_{69} P^{172}\end{aligned}\)
PHXII13:NUCLEI
363930
\(_{90}^{232}Th\) an isotope of thorium decays in ten stages emitting six \(\alpha \)-particle and four \(\beta \)- particle in all. The end product of the decay is
