363725
Assertion : Fragments produced in the fission of \(U^{235}\) are radioactive. Reason : The fragments have abnormally high proton to neutron ratio.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Fragments resulting from uranium fission are radioactive, with over 100 isotopes identified, (with \(Z = 34\) to 58 ) The fission fragments undergo beta decays, increasing atomic number until stability, releasing about \(15\,MeV\) of additional energy. So correct option is (3).
PHXII13:NUCLEI
363726
To generate a power of 3.2 megawatt, the number of fissions of \({{\text{U}}^{235}}\) per minute is (Energy released per fission \( = 200\,MeV,leV = 1.6 \times {10^{ - 19}}J\))
1 \(6 \times {10^{17}}\)
2 \(6 \times {10^{18}}\)
3 \(5 \times {10^{14}}\)
4 \(5 \times {10^{12}}\)
Explanation:
Number of fissions per second \({\rm{ = }}\frac{{{\rm{Power}}\,\,{\rm{output}}}}{{{\rm{Energy}}\,\,{\rm{released}}\,\,{\rm{per}}\,\,{\rm{fission}}}}\) \( = \frac{{3.2 \times {{10}^6}}}{{200 \times {{10}^6} \times 1.6 \times {{10}^{ - 19}}}} = 1 \times {10^{17}}\) \( \Rightarrow \) Number of fission per minute \( = 60 \times 1 \times {10^{17}} = 6 \times {10^{18}}\)
PHXII13:NUCLEI
363727
Energy released in the fission of a single \({ }_{92} U^{235}\) nucleus is \(200\,MeV\). The fission rate of \({ }_{92} U^{235}\) fueled reactor operating at a power level of \(5\,W\) is:
363728
A nucleus at rest disintegrates inte two smaller nuclei with their masses in the ratio of 2: 1. After disintegration they will move
1 in opposite directions with speed in the ratio of \(1: 2\) respectively
2 in the same directions with same speed
3 in opposite directions with the same speed
4 in opposite directions with speed in the ratio of 2: 1 respectively
Explanation:
\({m_1}:{m_2} = 2:1\) Using the conservation of momentum, \(\overrightarrow{p_{i}}=\overrightarrow{p_{f}}\) \(0 = {m_1}\overrightarrow {{v_1}} + {m_2}\overrightarrow {{v_2}} \) \( \Rightarrow {m_1}{{\vec v}_1} = - {m_2}\overrightarrow {{v_2}} \) \(\frac{{{v_1}}}{{{v_2}}} = \left| { - \frac{{{m_2}}}{{{m_1}}}} \right| = \left| {\frac{1}{2}} \right| = 1:2\) Minus sign shows that they move in opposite directions.
JEE - 2024
PHXII13:NUCLEI
363729
The nucleus \({ }_{92} U^{234}\) splits exactly in half in a fission reaction in which two neutrons are released. The resultant nuclei are
1 \({ }_{46} P d^{116}\)
2 \({ }_{45} R h^{117}\)
3 \({ }_{45} R h^{116}\)
4 \({ }_{46} P d^{117}\)
Explanation:
The splitting of \({{ }_{92} U^{234}}\) is as follows \(_{92}{U^{234}}{ \to _{46}}{X^{116}}{ + _{46}}{X^{116}} + {2_0}{n^1} + {\text{ energy }}\) \(\therefore {\quad _{46}}{X^{116}}{\text{ is}}{{\text{ }}_{46}}P{d^{116}}\)
363725
Assertion : Fragments produced in the fission of \(U^{235}\) are radioactive. Reason : The fragments have abnormally high proton to neutron ratio.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Fragments resulting from uranium fission are radioactive, with over 100 isotopes identified, (with \(Z = 34\) to 58 ) The fission fragments undergo beta decays, increasing atomic number until stability, releasing about \(15\,MeV\) of additional energy. So correct option is (3).
PHXII13:NUCLEI
363726
To generate a power of 3.2 megawatt, the number of fissions of \({{\text{U}}^{235}}\) per minute is (Energy released per fission \( = 200\,MeV,leV = 1.6 \times {10^{ - 19}}J\))
1 \(6 \times {10^{17}}\)
2 \(6 \times {10^{18}}\)
3 \(5 \times {10^{14}}\)
4 \(5 \times {10^{12}}\)
Explanation:
Number of fissions per second \({\rm{ = }}\frac{{{\rm{Power}}\,\,{\rm{output}}}}{{{\rm{Energy}}\,\,{\rm{released}}\,\,{\rm{per}}\,\,{\rm{fission}}}}\) \( = \frac{{3.2 \times {{10}^6}}}{{200 \times {{10}^6} \times 1.6 \times {{10}^{ - 19}}}} = 1 \times {10^{17}}\) \( \Rightarrow \) Number of fission per minute \( = 60 \times 1 \times {10^{17}} = 6 \times {10^{18}}\)
PHXII13:NUCLEI
363727
Energy released in the fission of a single \({ }_{92} U^{235}\) nucleus is \(200\,MeV\). The fission rate of \({ }_{92} U^{235}\) fueled reactor operating at a power level of \(5\,W\) is:
363728
A nucleus at rest disintegrates inte two smaller nuclei with their masses in the ratio of 2: 1. After disintegration they will move
1 in opposite directions with speed in the ratio of \(1: 2\) respectively
2 in the same directions with same speed
3 in opposite directions with the same speed
4 in opposite directions with speed in the ratio of 2: 1 respectively
Explanation:
\({m_1}:{m_2} = 2:1\) Using the conservation of momentum, \(\overrightarrow{p_{i}}=\overrightarrow{p_{f}}\) \(0 = {m_1}\overrightarrow {{v_1}} + {m_2}\overrightarrow {{v_2}} \) \( \Rightarrow {m_1}{{\vec v}_1} = - {m_2}\overrightarrow {{v_2}} \) \(\frac{{{v_1}}}{{{v_2}}} = \left| { - \frac{{{m_2}}}{{{m_1}}}} \right| = \left| {\frac{1}{2}} \right| = 1:2\) Minus sign shows that they move in opposite directions.
JEE - 2024
PHXII13:NUCLEI
363729
The nucleus \({ }_{92} U^{234}\) splits exactly in half in a fission reaction in which two neutrons are released. The resultant nuclei are
1 \({ }_{46} P d^{116}\)
2 \({ }_{45} R h^{117}\)
3 \({ }_{45} R h^{116}\)
4 \({ }_{46} P d^{117}\)
Explanation:
The splitting of \({{ }_{92} U^{234}}\) is as follows \(_{92}{U^{234}}{ \to _{46}}{X^{116}}{ + _{46}}{X^{116}} + {2_0}{n^1} + {\text{ energy }}\) \(\therefore {\quad _{46}}{X^{116}}{\text{ is}}{{\text{ }}_{46}}P{d^{116}}\)
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PHXII13:NUCLEI
363725
Assertion : Fragments produced in the fission of \(U^{235}\) are radioactive. Reason : The fragments have abnormally high proton to neutron ratio.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Fragments resulting from uranium fission are radioactive, with over 100 isotopes identified, (with \(Z = 34\) to 58 ) The fission fragments undergo beta decays, increasing atomic number until stability, releasing about \(15\,MeV\) of additional energy. So correct option is (3).
PHXII13:NUCLEI
363726
To generate a power of 3.2 megawatt, the number of fissions of \({{\text{U}}^{235}}\) per minute is (Energy released per fission \( = 200\,MeV,leV = 1.6 \times {10^{ - 19}}J\))
1 \(6 \times {10^{17}}\)
2 \(6 \times {10^{18}}\)
3 \(5 \times {10^{14}}\)
4 \(5 \times {10^{12}}\)
Explanation:
Number of fissions per second \({\rm{ = }}\frac{{{\rm{Power}}\,\,{\rm{output}}}}{{{\rm{Energy}}\,\,{\rm{released}}\,\,{\rm{per}}\,\,{\rm{fission}}}}\) \( = \frac{{3.2 \times {{10}^6}}}{{200 \times {{10}^6} \times 1.6 \times {{10}^{ - 19}}}} = 1 \times {10^{17}}\) \( \Rightarrow \) Number of fission per minute \( = 60 \times 1 \times {10^{17}} = 6 \times {10^{18}}\)
PHXII13:NUCLEI
363727
Energy released in the fission of a single \({ }_{92} U^{235}\) nucleus is \(200\,MeV\). The fission rate of \({ }_{92} U^{235}\) fueled reactor operating at a power level of \(5\,W\) is:
363728
A nucleus at rest disintegrates inte two smaller nuclei with their masses in the ratio of 2: 1. After disintegration they will move
1 in opposite directions with speed in the ratio of \(1: 2\) respectively
2 in the same directions with same speed
3 in opposite directions with the same speed
4 in opposite directions with speed in the ratio of 2: 1 respectively
Explanation:
\({m_1}:{m_2} = 2:1\) Using the conservation of momentum, \(\overrightarrow{p_{i}}=\overrightarrow{p_{f}}\) \(0 = {m_1}\overrightarrow {{v_1}} + {m_2}\overrightarrow {{v_2}} \) \( \Rightarrow {m_1}{{\vec v}_1} = - {m_2}\overrightarrow {{v_2}} \) \(\frac{{{v_1}}}{{{v_2}}} = \left| { - \frac{{{m_2}}}{{{m_1}}}} \right| = \left| {\frac{1}{2}} \right| = 1:2\) Minus sign shows that they move in opposite directions.
JEE - 2024
PHXII13:NUCLEI
363729
The nucleus \({ }_{92} U^{234}\) splits exactly in half in a fission reaction in which two neutrons are released. The resultant nuclei are
1 \({ }_{46} P d^{116}\)
2 \({ }_{45} R h^{117}\)
3 \({ }_{45} R h^{116}\)
4 \({ }_{46} P d^{117}\)
Explanation:
The splitting of \({{ }_{92} U^{234}}\) is as follows \(_{92}{U^{234}}{ \to _{46}}{X^{116}}{ + _{46}}{X^{116}} + {2_0}{n^1} + {\text{ energy }}\) \(\therefore {\quad _{46}}{X^{116}}{\text{ is}}{{\text{ }}_{46}}P{d^{116}}\)
363725
Assertion : Fragments produced in the fission of \(U^{235}\) are radioactive. Reason : The fragments have abnormally high proton to neutron ratio.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Fragments resulting from uranium fission are radioactive, with over 100 isotopes identified, (with \(Z = 34\) to 58 ) The fission fragments undergo beta decays, increasing atomic number until stability, releasing about \(15\,MeV\) of additional energy. So correct option is (3).
PHXII13:NUCLEI
363726
To generate a power of 3.2 megawatt, the number of fissions of \({{\text{U}}^{235}}\) per minute is (Energy released per fission \( = 200\,MeV,leV = 1.6 \times {10^{ - 19}}J\))
1 \(6 \times {10^{17}}\)
2 \(6 \times {10^{18}}\)
3 \(5 \times {10^{14}}\)
4 \(5 \times {10^{12}}\)
Explanation:
Number of fissions per second \({\rm{ = }}\frac{{{\rm{Power}}\,\,{\rm{output}}}}{{{\rm{Energy}}\,\,{\rm{released}}\,\,{\rm{per}}\,\,{\rm{fission}}}}\) \( = \frac{{3.2 \times {{10}^6}}}{{200 \times {{10}^6} \times 1.6 \times {{10}^{ - 19}}}} = 1 \times {10^{17}}\) \( \Rightarrow \) Number of fission per minute \( = 60 \times 1 \times {10^{17}} = 6 \times {10^{18}}\)
PHXII13:NUCLEI
363727
Energy released in the fission of a single \({ }_{92} U^{235}\) nucleus is \(200\,MeV\). The fission rate of \({ }_{92} U^{235}\) fueled reactor operating at a power level of \(5\,W\) is:
363728
A nucleus at rest disintegrates inte two smaller nuclei with their masses in the ratio of 2: 1. After disintegration they will move
1 in opposite directions with speed in the ratio of \(1: 2\) respectively
2 in the same directions with same speed
3 in opposite directions with the same speed
4 in opposite directions with speed in the ratio of 2: 1 respectively
Explanation:
\({m_1}:{m_2} = 2:1\) Using the conservation of momentum, \(\overrightarrow{p_{i}}=\overrightarrow{p_{f}}\) \(0 = {m_1}\overrightarrow {{v_1}} + {m_2}\overrightarrow {{v_2}} \) \( \Rightarrow {m_1}{{\vec v}_1} = - {m_2}\overrightarrow {{v_2}} \) \(\frac{{{v_1}}}{{{v_2}}} = \left| { - \frac{{{m_2}}}{{{m_1}}}} \right| = \left| {\frac{1}{2}} \right| = 1:2\) Minus sign shows that they move in opposite directions.
JEE - 2024
PHXII13:NUCLEI
363729
The nucleus \({ }_{92} U^{234}\) splits exactly in half in a fission reaction in which two neutrons are released. The resultant nuclei are
1 \({ }_{46} P d^{116}\)
2 \({ }_{45} R h^{117}\)
3 \({ }_{45} R h^{116}\)
4 \({ }_{46} P d^{117}\)
Explanation:
The splitting of \({{ }_{92} U^{234}}\) is as follows \(_{92}{U^{234}}{ \to _{46}}{X^{116}}{ + _{46}}{X^{116}} + {2_0}{n^1} + {\text{ energy }}\) \(\therefore {\quad _{46}}{X^{116}}{\text{ is}}{{\text{ }}_{46}}P{d^{116}}\)
363725
Assertion : Fragments produced in the fission of \(U^{235}\) are radioactive. Reason : The fragments have abnormally high proton to neutron ratio.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Fragments resulting from uranium fission are radioactive, with over 100 isotopes identified, (with \(Z = 34\) to 58 ) The fission fragments undergo beta decays, increasing atomic number until stability, releasing about \(15\,MeV\) of additional energy. So correct option is (3).
PHXII13:NUCLEI
363726
To generate a power of 3.2 megawatt, the number of fissions of \({{\text{U}}^{235}}\) per minute is (Energy released per fission \( = 200\,MeV,leV = 1.6 \times {10^{ - 19}}J\))
1 \(6 \times {10^{17}}\)
2 \(6 \times {10^{18}}\)
3 \(5 \times {10^{14}}\)
4 \(5 \times {10^{12}}\)
Explanation:
Number of fissions per second \({\rm{ = }}\frac{{{\rm{Power}}\,\,{\rm{output}}}}{{{\rm{Energy}}\,\,{\rm{released}}\,\,{\rm{per}}\,\,{\rm{fission}}}}\) \( = \frac{{3.2 \times {{10}^6}}}{{200 \times {{10}^6} \times 1.6 \times {{10}^{ - 19}}}} = 1 \times {10^{17}}\) \( \Rightarrow \) Number of fission per minute \( = 60 \times 1 \times {10^{17}} = 6 \times {10^{18}}\)
PHXII13:NUCLEI
363727
Energy released in the fission of a single \({ }_{92} U^{235}\) nucleus is \(200\,MeV\). The fission rate of \({ }_{92} U^{235}\) fueled reactor operating at a power level of \(5\,W\) is:
363728
A nucleus at rest disintegrates inte two smaller nuclei with their masses in the ratio of 2: 1. After disintegration they will move
1 in opposite directions with speed in the ratio of \(1: 2\) respectively
2 in the same directions with same speed
3 in opposite directions with the same speed
4 in opposite directions with speed in the ratio of 2: 1 respectively
Explanation:
\({m_1}:{m_2} = 2:1\) Using the conservation of momentum, \(\overrightarrow{p_{i}}=\overrightarrow{p_{f}}\) \(0 = {m_1}\overrightarrow {{v_1}} + {m_2}\overrightarrow {{v_2}} \) \( \Rightarrow {m_1}{{\vec v}_1} = - {m_2}\overrightarrow {{v_2}} \) \(\frac{{{v_1}}}{{{v_2}}} = \left| { - \frac{{{m_2}}}{{{m_1}}}} \right| = \left| {\frac{1}{2}} \right| = 1:2\) Minus sign shows that they move in opposite directions.
JEE - 2024
PHXII13:NUCLEI
363729
The nucleus \({ }_{92} U^{234}\) splits exactly in half in a fission reaction in which two neutrons are released. The resultant nuclei are
1 \({ }_{46} P d^{116}\)
2 \({ }_{45} R h^{117}\)
3 \({ }_{45} R h^{116}\)
4 \({ }_{46} P d^{117}\)
Explanation:
The splitting of \({{ }_{92} U^{234}}\) is as follows \(_{92}{U^{234}}{ \to _{46}}{X^{116}}{ + _{46}}{X^{116}} + {2_0}{n^1} + {\text{ energy }}\) \(\therefore {\quad _{46}}{X^{116}}{\text{ is}}{{\text{ }}_{46}}P{d^{116}}\)