Mass Energy and Nuclear Binding Energy
PHXII13:NUCLEI

363679 The mass of proton, neutron and helium nucleus are respectively \(1.0073\,u,\,\,1.0087\,u\) and \(4.0015\,u.\) The binding energy of helium nucleus is

1 \(14.2\,MeV\)
2 \(56.8\,MeV\)
3 \(7.1\,MeV\)
4 \(28.4\,MeV\)
PHXII13:NUCLEI

363680 The above is a plot of binding energy per nucleon \({E_b},\) against the nuclear mass \(M;A,\,B,\,C,\,D,\,E\,\& \,F\) correspond to different nuclei. Consider four reactions
\((i)A + B \to C + \varepsilon \,\,\,\,\,\,\,\,\,\,(ii)C \to A + B + \varepsilon \)
\((iii){\rm{ }}D + E \to F + \varepsilon {\rm{ }}\,\,(iv){\rm{ }}F \to D + E + \varepsilon \)
Where \(\varepsilon \) is the energy released? In which reactions is \(\varepsilon \) positive?
supporting img

1 (i) and (iv)
2 (i) and (iii)
3 (ii) and (iv)
4 (ii) and (iii)
PHXII13:NUCLEI

363681 A nucleus \({}_Z^AX\) has mass represented by \(m(A,Z)\). If \({m_p}\) and \({m_n}\) denote the mass of proton and neutron respectively and \(BE\) the binding energy (in \(MeV\)), then

1 \(BE = \left[ {Z{m_p} + (A - Z){m_n} - m(A,Z)} \right]{c^2}\)
2 \(BE = \left[ {m(A,Z) - N{m_p} - (A - Z){m_n}} \right]{c^2}\)
3 \(BE = \left[ {m(A,Z) - Z{m_p} - (A - Z){m_n}} \right]{c^2}\)
4 \(BE = \left[ {Z{m_p} + A{m_n} - m(A,Z)} \right]{c^2}\)
PHXII13:NUCLEI

363682 When two nuclei (with \(A=8\) ) join to form a heavier nucleus, the Binding Energy \((BE)\) per nucleon of the heavier nuclei is

1 more than the \(BE\) per nucleon of the lighter nuclei
2 same as the \(BE\) per nucleon of the lighter nuclei
3 less than the \(BE\) per nucleon of the lighter nuclei
4 double the \(BE\) per nucleon of the lighter nuclei
PHXII13:NUCLEI

363683 If \({M_0}\) is the mass of an oxygen isotope \(_8{O^{17}},{m_p}\,and\,{m_n}\) are the masses of a proton and a neutron respectively the nuclear binding energy of the isotope is:

1 \(({M_0} - 8{m_p}){c^2}\)
2 \((9{m_n} + 8{m_p} - {M_0}){c^2}\)
3 \({M_0}{c^2}\)
4 \(({M_0} - 17{m_n}){c^2}\)
PHXII13:NUCLEI

363679 The mass of proton, neutron and helium nucleus are respectively \(1.0073\,u,\,\,1.0087\,u\) and \(4.0015\,u.\) The binding energy of helium nucleus is

1 \(14.2\,MeV\)
2 \(56.8\,MeV\)
3 \(7.1\,MeV\)
4 \(28.4\,MeV\)
PHXII13:NUCLEI

363680 The above is a plot of binding energy per nucleon \({E_b},\) against the nuclear mass \(M;A,\,B,\,C,\,D,\,E\,\& \,F\) correspond to different nuclei. Consider four reactions
\((i)A + B \to C + \varepsilon \,\,\,\,\,\,\,\,\,\,(ii)C \to A + B + \varepsilon \)
\((iii){\rm{ }}D + E \to F + \varepsilon {\rm{ }}\,\,(iv){\rm{ }}F \to D + E + \varepsilon \)
Where \(\varepsilon \) is the energy released? In which reactions is \(\varepsilon \) positive?
supporting img

1 (i) and (iv)
2 (i) and (iii)
3 (ii) and (iv)
4 (ii) and (iii)
PHXII13:NUCLEI

363681 A nucleus \({}_Z^AX\) has mass represented by \(m(A,Z)\). If \({m_p}\) and \({m_n}\) denote the mass of proton and neutron respectively and \(BE\) the binding energy (in \(MeV\)), then

1 \(BE = \left[ {Z{m_p} + (A - Z){m_n} - m(A,Z)} \right]{c^2}\)
2 \(BE = \left[ {m(A,Z) - N{m_p} - (A - Z){m_n}} \right]{c^2}\)
3 \(BE = \left[ {m(A,Z) - Z{m_p} - (A - Z){m_n}} \right]{c^2}\)
4 \(BE = \left[ {Z{m_p} + A{m_n} - m(A,Z)} \right]{c^2}\)
PHXII13:NUCLEI

363682 When two nuclei (with \(A=8\) ) join to form a heavier nucleus, the Binding Energy \((BE)\) per nucleon of the heavier nuclei is

1 more than the \(BE\) per nucleon of the lighter nuclei
2 same as the \(BE\) per nucleon of the lighter nuclei
3 less than the \(BE\) per nucleon of the lighter nuclei
4 double the \(BE\) per nucleon of the lighter nuclei
PHXII13:NUCLEI

363683 If \({M_0}\) is the mass of an oxygen isotope \(_8{O^{17}},{m_p}\,and\,{m_n}\) are the masses of a proton and a neutron respectively the nuclear binding energy of the isotope is:

1 \(({M_0} - 8{m_p}){c^2}\)
2 \((9{m_n} + 8{m_p} - {M_0}){c^2}\)
3 \({M_0}{c^2}\)
4 \(({M_0} - 17{m_n}){c^2}\)
PHXII13:NUCLEI

363679 The mass of proton, neutron and helium nucleus are respectively \(1.0073\,u,\,\,1.0087\,u\) and \(4.0015\,u.\) The binding energy of helium nucleus is

1 \(14.2\,MeV\)
2 \(56.8\,MeV\)
3 \(7.1\,MeV\)
4 \(28.4\,MeV\)
PHXII13:NUCLEI

363680 The above is a plot of binding energy per nucleon \({E_b},\) against the nuclear mass \(M;A,\,B,\,C,\,D,\,E\,\& \,F\) correspond to different nuclei. Consider four reactions
\((i)A + B \to C + \varepsilon \,\,\,\,\,\,\,\,\,\,(ii)C \to A + B + \varepsilon \)
\((iii){\rm{ }}D + E \to F + \varepsilon {\rm{ }}\,\,(iv){\rm{ }}F \to D + E + \varepsilon \)
Where \(\varepsilon \) is the energy released? In which reactions is \(\varepsilon \) positive?
supporting img

1 (i) and (iv)
2 (i) and (iii)
3 (ii) and (iv)
4 (ii) and (iii)
PHXII13:NUCLEI

363681 A nucleus \({}_Z^AX\) has mass represented by \(m(A,Z)\). If \({m_p}\) and \({m_n}\) denote the mass of proton and neutron respectively and \(BE\) the binding energy (in \(MeV\)), then

1 \(BE = \left[ {Z{m_p} + (A - Z){m_n} - m(A,Z)} \right]{c^2}\)
2 \(BE = \left[ {m(A,Z) - N{m_p} - (A - Z){m_n}} \right]{c^2}\)
3 \(BE = \left[ {m(A,Z) - Z{m_p} - (A - Z){m_n}} \right]{c^2}\)
4 \(BE = \left[ {Z{m_p} + A{m_n} - m(A,Z)} \right]{c^2}\)
PHXII13:NUCLEI

363682 When two nuclei (with \(A=8\) ) join to form a heavier nucleus, the Binding Energy \((BE)\) per nucleon of the heavier nuclei is

1 more than the \(BE\) per nucleon of the lighter nuclei
2 same as the \(BE\) per nucleon of the lighter nuclei
3 less than the \(BE\) per nucleon of the lighter nuclei
4 double the \(BE\) per nucleon of the lighter nuclei
PHXII13:NUCLEI

363683 If \({M_0}\) is the mass of an oxygen isotope \(_8{O^{17}},{m_p}\,and\,{m_n}\) are the masses of a proton and a neutron respectively the nuclear binding energy of the isotope is:

1 \(({M_0} - 8{m_p}){c^2}\)
2 \((9{m_n} + 8{m_p} - {M_0}){c^2}\)
3 \({M_0}{c^2}\)
4 \(({M_0} - 17{m_n}){c^2}\)
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PHXII13:NUCLEI

363679 The mass of proton, neutron and helium nucleus are respectively \(1.0073\,u,\,\,1.0087\,u\) and \(4.0015\,u.\) The binding energy of helium nucleus is

1 \(14.2\,MeV\)
2 \(56.8\,MeV\)
3 \(7.1\,MeV\)
4 \(28.4\,MeV\)
PHXII13:NUCLEI

363680 The above is a plot of binding energy per nucleon \({E_b},\) against the nuclear mass \(M;A,\,B,\,C,\,D,\,E\,\& \,F\) correspond to different nuclei. Consider four reactions
\((i)A + B \to C + \varepsilon \,\,\,\,\,\,\,\,\,\,(ii)C \to A + B + \varepsilon \)
\((iii){\rm{ }}D + E \to F + \varepsilon {\rm{ }}\,\,(iv){\rm{ }}F \to D + E + \varepsilon \)
Where \(\varepsilon \) is the energy released? In which reactions is \(\varepsilon \) positive?
supporting img

1 (i) and (iv)
2 (i) and (iii)
3 (ii) and (iv)
4 (ii) and (iii)
PHXII13:NUCLEI

363681 A nucleus \({}_Z^AX\) has mass represented by \(m(A,Z)\). If \({m_p}\) and \({m_n}\) denote the mass of proton and neutron respectively and \(BE\) the binding energy (in \(MeV\)), then

1 \(BE = \left[ {Z{m_p} + (A - Z){m_n} - m(A,Z)} \right]{c^2}\)
2 \(BE = \left[ {m(A,Z) - N{m_p} - (A - Z){m_n}} \right]{c^2}\)
3 \(BE = \left[ {m(A,Z) - Z{m_p} - (A - Z){m_n}} \right]{c^2}\)
4 \(BE = \left[ {Z{m_p} + A{m_n} - m(A,Z)} \right]{c^2}\)
PHXII13:NUCLEI

363682 When two nuclei (with \(A=8\) ) join to form a heavier nucleus, the Binding Energy \((BE)\) per nucleon of the heavier nuclei is

1 more than the \(BE\) per nucleon of the lighter nuclei
2 same as the \(BE\) per nucleon of the lighter nuclei
3 less than the \(BE\) per nucleon of the lighter nuclei
4 double the \(BE\) per nucleon of the lighter nuclei
PHXII13:NUCLEI

363683 If \({M_0}\) is the mass of an oxygen isotope \(_8{O^{17}},{m_p}\,and\,{m_n}\) are the masses of a proton and a neutron respectively the nuclear binding energy of the isotope is:

1 \(({M_0} - 8{m_p}){c^2}\)
2 \((9{m_n} + 8{m_p} - {M_0}){c^2}\)
3 \({M_0}{c^2}\)
4 \(({M_0} - 17{m_n}){c^2}\)
PHXII13:NUCLEI

363679 The mass of proton, neutron and helium nucleus are respectively \(1.0073\,u,\,\,1.0087\,u\) and \(4.0015\,u.\) The binding energy of helium nucleus is

1 \(14.2\,MeV\)
2 \(56.8\,MeV\)
3 \(7.1\,MeV\)
4 \(28.4\,MeV\)
PHXII13:NUCLEI

363680 The above is a plot of binding energy per nucleon \({E_b},\) against the nuclear mass \(M;A,\,B,\,C,\,D,\,E\,\& \,F\) correspond to different nuclei. Consider four reactions
\((i)A + B \to C + \varepsilon \,\,\,\,\,\,\,\,\,\,(ii)C \to A + B + \varepsilon \)
\((iii){\rm{ }}D + E \to F + \varepsilon {\rm{ }}\,\,(iv){\rm{ }}F \to D + E + \varepsilon \)
Where \(\varepsilon \) is the energy released? In which reactions is \(\varepsilon \) positive?
supporting img

1 (i) and (iv)
2 (i) and (iii)
3 (ii) and (iv)
4 (ii) and (iii)
PHXII13:NUCLEI

363681 A nucleus \({}_Z^AX\) has mass represented by \(m(A,Z)\). If \({m_p}\) and \({m_n}\) denote the mass of proton and neutron respectively and \(BE\) the binding energy (in \(MeV\)), then

1 \(BE = \left[ {Z{m_p} + (A - Z){m_n} - m(A,Z)} \right]{c^2}\)
2 \(BE = \left[ {m(A,Z) - N{m_p} - (A - Z){m_n}} \right]{c^2}\)
3 \(BE = \left[ {m(A,Z) - Z{m_p} - (A - Z){m_n}} \right]{c^2}\)
4 \(BE = \left[ {Z{m_p} + A{m_n} - m(A,Z)} \right]{c^2}\)
PHXII13:NUCLEI

363682 When two nuclei (with \(A=8\) ) join to form a heavier nucleus, the Binding Energy \((BE)\) per nucleon of the heavier nuclei is

1 more than the \(BE\) per nucleon of the lighter nuclei
2 same as the \(BE\) per nucleon of the lighter nuclei
3 less than the \(BE\) per nucleon of the lighter nuclei
4 double the \(BE\) per nucleon of the lighter nuclei
PHXII13:NUCLEI

363683 If \({M_0}\) is the mass of an oxygen isotope \(_8{O^{17}},{m_p}\,and\,{m_n}\) are the masses of a proton and a neutron respectively the nuclear binding energy of the isotope is:

1 \(({M_0} - 8{m_p}){c^2}\)
2 \((9{m_n} + 8{m_p} - {M_0}){c^2}\)
3 \({M_0}{c^2}\)
4 \(({M_0} - 17{m_n}){c^2}\)