NEET Test Series from KOTA - 10 Papers In MS WORD
WhatsApp Here
PHXII13:NUCLEI
363857
Assume that the nuclear mass is of the order of \({10^{ - 27}}\;kg\) and the nuclear radius is of the order of \({10^{ - 15}}\;m\). The nuclear density is of the order of
1 \({10^2}\;kg{\rm{/}}{m^3}\)
2 \({10^{10}}\;kg{\rm{/}}{m^3}\)
3 \({10^{17}}\;kg{\rm{/}}{m^3}\)
4 \({10^{31}}\;kg{\rm{/}}{m^3}\)
Explanation:
Density \(d=\dfrac{M}{V}=\dfrac{M}{\dfrac{4}{3} \pi R^{3}}\) \(d=\dfrac{3 M}{4 \pi R^{3}}=\dfrac{3}{4 \pi}\left(\dfrac{A m}{A R_{0}^{3}}\right)=\dfrac{3 m}{4 \pi R_{0}^{3}}\) \(=\dfrac{3}{4 \pi} \dfrac{10^{-27}}{10^{-45}}\) \(\Rightarrow d\) is of the order of \({10^{17}}\;kg{\rm{/}}{m^3}\). Correct option is (3).
PHXII13:NUCLEI
363858
The volume occupied by an atom is greater than the volume of the nucleus by a factor of about
363859
Assertion : Density of all the nuclei is same. Reason : Radius of nucleus is directly proportional to the cube root of mass number.
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:
Through experimental observation, it has been determined that the average radius of a nucleus is described by the equation \(R = {R_0}{A^{1/3}},{R_0} = 1.5 \times {10^{ - 15}}\;m\) Density \(\rho = \frac{{A{m_p}}}{{\left( {\frac{4}{3}\pi {R^3}} \right)A}} = 2.32 \times {10^{17}}\;kg{\rm{/}}{m^3}\) which is constant for all \(A\). So correct option is (1).
PHXII13:NUCLEI
363860
Assertion : All nuclei are not of same size. Reason : Size depends on atomic mass.
1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
The radius of nucleus is given by \(R = {R_0}{{\rm{A}}^{1/3}},\) where \({R_0}\) is a constant \( = 1.1 \times {10^{ - 15}}m.\) For different nuclei mass number \(A\) is different, therefore \(R\) is different. So option (1) is correct.
363857
Assume that the nuclear mass is of the order of \({10^{ - 27}}\;kg\) and the nuclear radius is of the order of \({10^{ - 15}}\;m\). The nuclear density is of the order of
1 \({10^2}\;kg{\rm{/}}{m^3}\)
2 \({10^{10}}\;kg{\rm{/}}{m^3}\)
3 \({10^{17}}\;kg{\rm{/}}{m^3}\)
4 \({10^{31}}\;kg{\rm{/}}{m^3}\)
Explanation:
Density \(d=\dfrac{M}{V}=\dfrac{M}{\dfrac{4}{3} \pi R^{3}}\) \(d=\dfrac{3 M}{4 \pi R^{3}}=\dfrac{3}{4 \pi}\left(\dfrac{A m}{A R_{0}^{3}}\right)=\dfrac{3 m}{4 \pi R_{0}^{3}}\) \(=\dfrac{3}{4 \pi} \dfrac{10^{-27}}{10^{-45}}\) \(\Rightarrow d\) is of the order of \({10^{17}}\;kg{\rm{/}}{m^3}\). Correct option is (3).
PHXII13:NUCLEI
363858
The volume occupied by an atom is greater than the volume of the nucleus by a factor of about
363859
Assertion : Density of all the nuclei is same. Reason : Radius of nucleus is directly proportional to the cube root of mass number.
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:
Through experimental observation, it has been determined that the average radius of a nucleus is described by the equation \(R = {R_0}{A^{1/3}},{R_0} = 1.5 \times {10^{ - 15}}\;m\) Density \(\rho = \frac{{A{m_p}}}{{\left( {\frac{4}{3}\pi {R^3}} \right)A}} = 2.32 \times {10^{17}}\;kg{\rm{/}}{m^3}\) which is constant for all \(A\). So correct option is (1).
PHXII13:NUCLEI
363860
Assertion : All nuclei are not of same size. Reason : Size depends on atomic mass.
1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
The radius of nucleus is given by \(R = {R_0}{{\rm{A}}^{1/3}},\) where \({R_0}\) is a constant \( = 1.1 \times {10^{ - 15}}m.\) For different nuclei mass number \(A\) is different, therefore \(R\) is different. So option (1) is correct.
363857
Assume that the nuclear mass is of the order of \({10^{ - 27}}\;kg\) and the nuclear radius is of the order of \({10^{ - 15}}\;m\). The nuclear density is of the order of
1 \({10^2}\;kg{\rm{/}}{m^3}\)
2 \({10^{10}}\;kg{\rm{/}}{m^3}\)
3 \({10^{17}}\;kg{\rm{/}}{m^3}\)
4 \({10^{31}}\;kg{\rm{/}}{m^3}\)
Explanation:
Density \(d=\dfrac{M}{V}=\dfrac{M}{\dfrac{4}{3} \pi R^{3}}\) \(d=\dfrac{3 M}{4 \pi R^{3}}=\dfrac{3}{4 \pi}\left(\dfrac{A m}{A R_{0}^{3}}\right)=\dfrac{3 m}{4 \pi R_{0}^{3}}\) \(=\dfrac{3}{4 \pi} \dfrac{10^{-27}}{10^{-45}}\) \(\Rightarrow d\) is of the order of \({10^{17}}\;kg{\rm{/}}{m^3}\). Correct option is (3).
PHXII13:NUCLEI
363858
The volume occupied by an atom is greater than the volume of the nucleus by a factor of about
363859
Assertion : Density of all the nuclei is same. Reason : Radius of nucleus is directly proportional to the cube root of mass number.
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:
Through experimental observation, it has been determined that the average radius of a nucleus is described by the equation \(R = {R_0}{A^{1/3}},{R_0} = 1.5 \times {10^{ - 15}}\;m\) Density \(\rho = \frac{{A{m_p}}}{{\left( {\frac{4}{3}\pi {R^3}} \right)A}} = 2.32 \times {10^{17}}\;kg{\rm{/}}{m^3}\) which is constant for all \(A\). So correct option is (1).
PHXII13:NUCLEI
363860
Assertion : All nuclei are not of same size. Reason : Size depends on atomic mass.
1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
The radius of nucleus is given by \(R = {R_0}{{\rm{A}}^{1/3}},\) where \({R_0}\) is a constant \( = 1.1 \times {10^{ - 15}}m.\) For different nuclei mass number \(A\) is different, therefore \(R\) is different. So option (1) is correct.
363857
Assume that the nuclear mass is of the order of \({10^{ - 27}}\;kg\) and the nuclear radius is of the order of \({10^{ - 15}}\;m\). The nuclear density is of the order of
1 \({10^2}\;kg{\rm{/}}{m^3}\)
2 \({10^{10}}\;kg{\rm{/}}{m^3}\)
3 \({10^{17}}\;kg{\rm{/}}{m^3}\)
4 \({10^{31}}\;kg{\rm{/}}{m^3}\)
Explanation:
Density \(d=\dfrac{M}{V}=\dfrac{M}{\dfrac{4}{3} \pi R^{3}}\) \(d=\dfrac{3 M}{4 \pi R^{3}}=\dfrac{3}{4 \pi}\left(\dfrac{A m}{A R_{0}^{3}}\right)=\dfrac{3 m}{4 \pi R_{0}^{3}}\) \(=\dfrac{3}{4 \pi} \dfrac{10^{-27}}{10^{-45}}\) \(\Rightarrow d\) is of the order of \({10^{17}}\;kg{\rm{/}}{m^3}\). Correct option is (3).
PHXII13:NUCLEI
363858
The volume occupied by an atom is greater than the volume of the nucleus by a factor of about
363859
Assertion : Density of all the nuclei is same. Reason : Radius of nucleus is directly proportional to the cube root of mass number.
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:
Through experimental observation, it has been determined that the average radius of a nucleus is described by the equation \(R = {R_0}{A^{1/3}},{R_0} = 1.5 \times {10^{ - 15}}\;m\) Density \(\rho = \frac{{A{m_p}}}{{\left( {\frac{4}{3}\pi {R^3}} \right)A}} = 2.32 \times {10^{17}}\;kg{\rm{/}}{m^3}\) which is constant for all \(A\). So correct option is (1).
PHXII13:NUCLEI
363860
Assertion : All nuclei are not of same size. Reason : Size depends on atomic mass.
1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
The radius of nucleus is given by \(R = {R_0}{{\rm{A}}^{1/3}},\) where \({R_0}\) is a constant \( = 1.1 \times {10^{ - 15}}m.\) For different nuclei mass number \(A\) is different, therefore \(R\) is different. So option (1) is correct.
