Radioactivity
PHXII13:NUCLEI

364030 A radioactive isotope is being produced at a constant rate \(X\). Half-life of the radioactive substance is \(Y\). After some time, the number of radioactive nuclei become constant. The value of this constant is

1 \(\frac{{XY}}{{\ell n(2)}}\)
2 \(XY\)
3 \((XY)\ell n(2)\)
4 \(\frac{X}{Y}\)
PHXII13:NUCLEI

364031 A human body excretes (removes by waste discharge, sweating etc.) certain materials by a law similar to radioactivity. If technetium is injected in some form in a human body, the body excretes half the amount in 24 hours. A patient is given an injection containing \({{ }^{99} {Tc}}\). This isotope is radioactive with a half-life of 6 hours. The activity from the body just after the injection is \(6\,\mu Ci.\) How much time (in hours) will elapse before the activity falls to \(3\,\mu Ci\) ?

1 \(1.5\,hrs\)
2 \(7.3\,hrs\)
3 \(4.8\,hrs\)
4 \(9.6\,hrs\)
PHXII13:NUCLEI

364032 The acitivity of a radioactive sample is measured as \({N_0}/e\) counts per minute at \(t = 5\min .\) The time (in minute) at which the activity reduces to half its value is

1 \({\log _2}2/5\)
2 \(5{\log _e}2\)
3 \(5{\log _{10}}2\)
4 \(\frac{5}{{{{\log }_e}2}}\)
PHXII13:NUCLEI

364033 The relation between half life (\(T\)) and decay constant (\(\lambda \)) is

1 \(\lambda T = {\log _e}2\)
2 \(\lambda T = 1\)
3 \(\lambda = \log 2T\)
4 \(\lambda T = \frac{1}{2}\)
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PHXII13:NUCLEI

364030 A radioactive isotope is being produced at a constant rate \(X\). Half-life of the radioactive substance is \(Y\). After some time, the number of radioactive nuclei become constant. The value of this constant is

1 \(\frac{{XY}}{{\ell n(2)}}\)
2 \(XY\)
3 \((XY)\ell n(2)\)
4 \(\frac{X}{Y}\)
PHXII13:NUCLEI

364031 A human body excretes (removes by waste discharge, sweating etc.) certain materials by a law similar to radioactivity. If technetium is injected in some form in a human body, the body excretes half the amount in 24 hours. A patient is given an injection containing \({{ }^{99} {Tc}}\). This isotope is radioactive with a half-life of 6 hours. The activity from the body just after the injection is \(6\,\mu Ci.\) How much time (in hours) will elapse before the activity falls to \(3\,\mu Ci\) ?

1 \(1.5\,hrs\)
2 \(7.3\,hrs\)
3 \(4.8\,hrs\)
4 \(9.6\,hrs\)
PHXII13:NUCLEI

364032 The acitivity of a radioactive sample is measured as \({N_0}/e\) counts per minute at \(t = 5\min .\) The time (in minute) at which the activity reduces to half its value is

1 \({\log _2}2/5\)
2 \(5{\log _e}2\)
3 \(5{\log _{10}}2\)
4 \(\frac{5}{{{{\log }_e}2}}\)
PHXII13:NUCLEI

364033 The relation between half life (\(T\)) and decay constant (\(\lambda \)) is

1 \(\lambda T = {\log _e}2\)
2 \(\lambda T = 1\)
3 \(\lambda = \log 2T\)
4 \(\lambda T = \frac{1}{2}\)
PHXII13:NUCLEI

364030 A radioactive isotope is being produced at a constant rate \(X\). Half-life of the radioactive substance is \(Y\). After some time, the number of radioactive nuclei become constant. The value of this constant is

1 \(\frac{{XY}}{{\ell n(2)}}\)
2 \(XY\)
3 \((XY)\ell n(2)\)
4 \(\frac{X}{Y}\)
PHXII13:NUCLEI

364031 A human body excretes (removes by waste discharge, sweating etc.) certain materials by a law similar to radioactivity. If technetium is injected in some form in a human body, the body excretes half the amount in 24 hours. A patient is given an injection containing \({{ }^{99} {Tc}}\). This isotope is radioactive with a half-life of 6 hours. The activity from the body just after the injection is \(6\,\mu Ci.\) How much time (in hours) will elapse before the activity falls to \(3\,\mu Ci\) ?

1 \(1.5\,hrs\)
2 \(7.3\,hrs\)
3 \(4.8\,hrs\)
4 \(9.6\,hrs\)
PHXII13:NUCLEI

364032 The acitivity of a radioactive sample is measured as \({N_0}/e\) counts per minute at \(t = 5\min .\) The time (in minute) at which the activity reduces to half its value is

1 \({\log _2}2/5\)
2 \(5{\log _e}2\)
3 \(5{\log _{10}}2\)
4 \(\frac{5}{{{{\log }_e}2}}\)
PHXII13:NUCLEI

364033 The relation between half life (\(T\)) and decay constant (\(\lambda \)) is

1 \(\lambda T = {\log _e}2\)
2 \(\lambda T = 1\)
3 \(\lambda = \log 2T\)
4 \(\lambda T = \frac{1}{2}\)
PHXII13:NUCLEI

364030 A radioactive isotope is being produced at a constant rate \(X\). Half-life of the radioactive substance is \(Y\). After some time, the number of radioactive nuclei become constant. The value of this constant is

1 \(\frac{{XY}}{{\ell n(2)}}\)
2 \(XY\)
3 \((XY)\ell n(2)\)
4 \(\frac{X}{Y}\)
PHXII13:NUCLEI

364031 A human body excretes (removes by waste discharge, sweating etc.) certain materials by a law similar to radioactivity. If technetium is injected in some form in a human body, the body excretes half the amount in 24 hours. A patient is given an injection containing \({{ }^{99} {Tc}}\). This isotope is radioactive with a half-life of 6 hours. The activity from the body just after the injection is \(6\,\mu Ci.\) How much time (in hours) will elapse before the activity falls to \(3\,\mu Ci\) ?

1 \(1.5\,hrs\)
2 \(7.3\,hrs\)
3 \(4.8\,hrs\)
4 \(9.6\,hrs\)
PHXII13:NUCLEI

364032 The acitivity of a radioactive sample is measured as \({N_0}/e\) counts per minute at \(t = 5\min .\) The time (in minute) at which the activity reduces to half its value is

1 \({\log _2}2/5\)
2 \(5{\log _e}2\)
3 \(5{\log _{10}}2\)
4 \(\frac{5}{{{{\log }_e}2}}\)
PHXII13:NUCLEI

364033 The relation between half life (\(T\)) and decay constant (\(\lambda \)) is

1 \(\lambda T = {\log _e}2\)
2 \(\lambda T = 1\)
3 \(\lambda = \log 2T\)
4 \(\lambda T = \frac{1}{2}\)