147561
Two radioactive element $A$ and $B$ initially have same number of atoms. The half life of $A$ is same as the average life of $B$. If $\lambda_{A}$ and $\lambda_{B}$ are decay constants of $A$ and $B$ respectively, then choose the correct relation from the given options.
C According to the question - Half life of $A\left(T_{1 / 2}\right)_{A}=$ Average life of $B\left(T_{\text {avg }}\right)_{B}$ $\frac{\ln 2}{\lambda_{\mathrm{A}}}=\frac{1}{\lambda_{\mathrm{B}}}$ $\lambda_{\mathrm{A}}=\lambda_{\mathrm{B}} \ln 2$
JEE Main-11.04.2023
NUCLEAR PHYSICS
147568
The Q-value of a nuclear reaction and kinetic energy of the projectile particle, $K_{p}$ are related as:
D $\mathrm{X}+\mathrm{P} \rightarrow \mathrm{y}+\mathrm{b}$ $\mathrm{Q}=\mathrm{K}_{\mathrm{y}}+\mathrm{K}_{\mathrm{b}}-\mathrm{K}_{\mathrm{P}}$ $\mathrm{Q}+\mathrm{K}_{\mathrm{P}}=\mathrm{K}_{\mathrm{y}}+\mathrm{K}_{\mathrm{b}}$ $\mathrm{Q}+\mathrm{K}_{\mathrm{P}}>0$
JEE Main-28.06.2022
NUCLEAR PHYSICS
147571
The distance between two nucleons for which the potential energy is minimum, is
1 $0.2 \mathrm{fm}$
2 $0.6 \mathrm{fm}$
3 $0.8 \mathrm{fm}$
4 $0.1 \mathrm{fm}$
Explanation:
C The potential energy is minimum of pair of nucleus at a distance $r_{0}$ of about $0.8 \mathrm{fm}$. It shows that the nuclear force between two nucleons is attractive for distances larger than $0.8 \mathrm{fm}$ and repulsive if they are separated by distances less than $0.8 \mathrm{fm}$.
TS EAMCET 04.08.2021
NUCLEAR PHYSICS
147574
When $\beta^{-}$particle is emitted from a nucleus, then the ratio of number of neutrons to protons is
1 decreased
2 increased
3 remains same
4 may increase or decrease
Explanation:
B ${ }_{\mathrm{A}} \mathrm{X}^{\mathrm{Z}} \rightarrow{ }_{\mathrm{A}-1} \mathrm{Y}^{\mathrm{Z}}+\beta^{-1}$ So, the neutron - proton ratio before emission $=\frac{Z-A}{A}$ And, the neutron - proton ratio after emission = $\frac{\mathrm{Z}-\mathrm{A}+1}{\mathrm{~A}-1}$ Since, $\frac{\mathrm{Z}-\mathrm{A}+1}{\mathrm{~A}-1}>\frac{\mathrm{Z}-\mathrm{A}}{\mathrm{A}}$
147561
Two radioactive element $A$ and $B$ initially have same number of atoms. The half life of $A$ is same as the average life of $B$. If $\lambda_{A}$ and $\lambda_{B}$ are decay constants of $A$ and $B$ respectively, then choose the correct relation from the given options.
C According to the question - Half life of $A\left(T_{1 / 2}\right)_{A}=$ Average life of $B\left(T_{\text {avg }}\right)_{B}$ $\frac{\ln 2}{\lambda_{\mathrm{A}}}=\frac{1}{\lambda_{\mathrm{B}}}$ $\lambda_{\mathrm{A}}=\lambda_{\mathrm{B}} \ln 2$
JEE Main-11.04.2023
NUCLEAR PHYSICS
147568
The Q-value of a nuclear reaction and kinetic energy of the projectile particle, $K_{p}$ are related as:
D $\mathrm{X}+\mathrm{P} \rightarrow \mathrm{y}+\mathrm{b}$ $\mathrm{Q}=\mathrm{K}_{\mathrm{y}}+\mathrm{K}_{\mathrm{b}}-\mathrm{K}_{\mathrm{P}}$ $\mathrm{Q}+\mathrm{K}_{\mathrm{P}}=\mathrm{K}_{\mathrm{y}}+\mathrm{K}_{\mathrm{b}}$ $\mathrm{Q}+\mathrm{K}_{\mathrm{P}}>0$
JEE Main-28.06.2022
NUCLEAR PHYSICS
147571
The distance between two nucleons for which the potential energy is minimum, is
1 $0.2 \mathrm{fm}$
2 $0.6 \mathrm{fm}$
3 $0.8 \mathrm{fm}$
4 $0.1 \mathrm{fm}$
Explanation:
C The potential energy is minimum of pair of nucleus at a distance $r_{0}$ of about $0.8 \mathrm{fm}$. It shows that the nuclear force between two nucleons is attractive for distances larger than $0.8 \mathrm{fm}$ and repulsive if they are separated by distances less than $0.8 \mathrm{fm}$.
TS EAMCET 04.08.2021
NUCLEAR PHYSICS
147574
When $\beta^{-}$particle is emitted from a nucleus, then the ratio of number of neutrons to protons is
1 decreased
2 increased
3 remains same
4 may increase or decrease
Explanation:
B ${ }_{\mathrm{A}} \mathrm{X}^{\mathrm{Z}} \rightarrow{ }_{\mathrm{A}-1} \mathrm{Y}^{\mathrm{Z}}+\beta^{-1}$ So, the neutron - proton ratio before emission $=\frac{Z-A}{A}$ And, the neutron - proton ratio after emission = $\frac{\mathrm{Z}-\mathrm{A}+1}{\mathrm{~A}-1}$ Since, $\frac{\mathrm{Z}-\mathrm{A}+1}{\mathrm{~A}-1}>\frac{\mathrm{Z}-\mathrm{A}}{\mathrm{A}}$
147561
Two radioactive element $A$ and $B$ initially have same number of atoms. The half life of $A$ is same as the average life of $B$. If $\lambda_{A}$ and $\lambda_{B}$ are decay constants of $A$ and $B$ respectively, then choose the correct relation from the given options.
C According to the question - Half life of $A\left(T_{1 / 2}\right)_{A}=$ Average life of $B\left(T_{\text {avg }}\right)_{B}$ $\frac{\ln 2}{\lambda_{\mathrm{A}}}=\frac{1}{\lambda_{\mathrm{B}}}$ $\lambda_{\mathrm{A}}=\lambda_{\mathrm{B}} \ln 2$
JEE Main-11.04.2023
NUCLEAR PHYSICS
147568
The Q-value of a nuclear reaction and kinetic energy of the projectile particle, $K_{p}$ are related as:
D $\mathrm{X}+\mathrm{P} \rightarrow \mathrm{y}+\mathrm{b}$ $\mathrm{Q}=\mathrm{K}_{\mathrm{y}}+\mathrm{K}_{\mathrm{b}}-\mathrm{K}_{\mathrm{P}}$ $\mathrm{Q}+\mathrm{K}_{\mathrm{P}}=\mathrm{K}_{\mathrm{y}}+\mathrm{K}_{\mathrm{b}}$ $\mathrm{Q}+\mathrm{K}_{\mathrm{P}}>0$
JEE Main-28.06.2022
NUCLEAR PHYSICS
147571
The distance between two nucleons for which the potential energy is minimum, is
1 $0.2 \mathrm{fm}$
2 $0.6 \mathrm{fm}$
3 $0.8 \mathrm{fm}$
4 $0.1 \mathrm{fm}$
Explanation:
C The potential energy is minimum of pair of nucleus at a distance $r_{0}$ of about $0.8 \mathrm{fm}$. It shows that the nuclear force between two nucleons is attractive for distances larger than $0.8 \mathrm{fm}$ and repulsive if they are separated by distances less than $0.8 \mathrm{fm}$.
TS EAMCET 04.08.2021
NUCLEAR PHYSICS
147574
When $\beta^{-}$particle is emitted from a nucleus, then the ratio of number of neutrons to protons is
1 decreased
2 increased
3 remains same
4 may increase or decrease
Explanation:
B ${ }_{\mathrm{A}} \mathrm{X}^{\mathrm{Z}} \rightarrow{ }_{\mathrm{A}-1} \mathrm{Y}^{\mathrm{Z}}+\beta^{-1}$ So, the neutron - proton ratio before emission $=\frac{Z-A}{A}$ And, the neutron - proton ratio after emission = $\frac{\mathrm{Z}-\mathrm{A}+1}{\mathrm{~A}-1}$ Since, $\frac{\mathrm{Z}-\mathrm{A}+1}{\mathrm{~A}-1}>\frac{\mathrm{Z}-\mathrm{A}}{\mathrm{A}}$
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NUCLEAR PHYSICS
147561
Two radioactive element $A$ and $B$ initially have same number of atoms. The half life of $A$ is same as the average life of $B$. If $\lambda_{A}$ and $\lambda_{B}$ are decay constants of $A$ and $B$ respectively, then choose the correct relation from the given options.
C According to the question - Half life of $A\left(T_{1 / 2}\right)_{A}=$ Average life of $B\left(T_{\text {avg }}\right)_{B}$ $\frac{\ln 2}{\lambda_{\mathrm{A}}}=\frac{1}{\lambda_{\mathrm{B}}}$ $\lambda_{\mathrm{A}}=\lambda_{\mathrm{B}} \ln 2$
JEE Main-11.04.2023
NUCLEAR PHYSICS
147568
The Q-value of a nuclear reaction and kinetic energy of the projectile particle, $K_{p}$ are related as:
D $\mathrm{X}+\mathrm{P} \rightarrow \mathrm{y}+\mathrm{b}$ $\mathrm{Q}=\mathrm{K}_{\mathrm{y}}+\mathrm{K}_{\mathrm{b}}-\mathrm{K}_{\mathrm{P}}$ $\mathrm{Q}+\mathrm{K}_{\mathrm{P}}=\mathrm{K}_{\mathrm{y}}+\mathrm{K}_{\mathrm{b}}$ $\mathrm{Q}+\mathrm{K}_{\mathrm{P}}>0$
JEE Main-28.06.2022
NUCLEAR PHYSICS
147571
The distance between two nucleons for which the potential energy is minimum, is
1 $0.2 \mathrm{fm}$
2 $0.6 \mathrm{fm}$
3 $0.8 \mathrm{fm}$
4 $0.1 \mathrm{fm}$
Explanation:
C The potential energy is minimum of pair of nucleus at a distance $r_{0}$ of about $0.8 \mathrm{fm}$. It shows that the nuclear force between two nucleons is attractive for distances larger than $0.8 \mathrm{fm}$ and repulsive if they are separated by distances less than $0.8 \mathrm{fm}$.
TS EAMCET 04.08.2021
NUCLEAR PHYSICS
147574
When $\beta^{-}$particle is emitted from a nucleus, then the ratio of number of neutrons to protons is
1 decreased
2 increased
3 remains same
4 may increase or decrease
Explanation:
B ${ }_{\mathrm{A}} \mathrm{X}^{\mathrm{Z}} \rightarrow{ }_{\mathrm{A}-1} \mathrm{Y}^{\mathrm{Z}}+\beta^{-1}$ So, the neutron - proton ratio before emission $=\frac{Z-A}{A}$ And, the neutron - proton ratio after emission = $\frac{\mathrm{Z}-\mathrm{A}+1}{\mathrm{~A}-1}$ Since, $\frac{\mathrm{Z}-\mathrm{A}+1}{\mathrm{~A}-1}>\frac{\mathrm{Z}-\mathrm{A}}{\mathrm{A}}$
