1
JEE Advanced 2025 Paper 1 Online
MCQ (Single Correct Answer)
+4
-1
List-I shows various functional dependencies of energy $(E)$ on the atomic number $(Z)$. Energies associated with certain phenomena are given in List-II.
Choose the option that describes the correct match between the entries in List-I to those in List-II.
List–I | List–II |
---|---|
(P) $E \propto Z^2$ | (1) energy of characteristic x-rays |
(Q) $E \propto (Z - 1)^2$ | (2) electrostatic part of the nuclear binding energy for stable nuclei with mass numbers in the range 30 to 170 |
(R) $E \propto Z(Z - 1)$ | (3) energy of continuous x-rays |
(S) $E$ is practically independent of $Z$ | (4) average nuclear binding energy per nucleon for stable nuclei with mass number in the range 30 to 170 |
(5) energy of radiation due to electronic transitions from hydrogen-like atoms |
2
JEE Advanced 2023 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
List-I shows different radioactive decay processes and List-II provides possible emitted particles. Match each entry in List-I with an appropriate entry from List-II, and choose the correct option.
List - I | List - II |
---|---|
(P) ${ }_{92}^{238} U \rightarrow{ }_{91}^{234} \mathrm{~Pa}$ | (1) one $\alpha$ particle and one $\beta^{+}$particle |
(Q) ${ }_{82}^{214} \mathrm{~Pb} \rightarrow{ }_{82}^{210} \mathrm{~Pb}$ | (2) three $\beta^{-}$particles and one $\alpha$ particle |
(R) ${ }_{81}^{210} \mathrm{Tl} \rightarrow{ }_{82}^{206} \mathrm{~Pb}$ | (3) two $\beta^{-}$particles and one $\alpha$ particle |
(S) ${ }_{91}^{228} \mathrm{~Pa} \rightarrow{ }_{88}^{224} \mathrm{Ra}$ | (4) one $\alpha$ particle and one $\beta^{-}$particle |
(5) one $\alpha$ particle and two $\beta^{+}$particles |
3
JEE Advanced 2021 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability of 40%. Initially, the number of Q nuclei is 1000. The number of alpha-decays of Q in the first one hour is
4
JEE Advanced 2019 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
In a radioactive sample, $${}_{19}^{40}K$$ nuclei either decay into stable $${}_{20}^{40}Ca$$ nuclei with decay constant 4.5 $$ \times $$ 10-10 per year or into stable $${}_{18}^{40}Ar$$ nuclei with decay constant 0.5 $$ \times $$ 10-10 per year. Given that in this sample all the stable $${}_{20}^{40}Ca$$ and $${}_{18}^{40}Ar$$ nuclei are produced by the $${}_{19}^{40}K$$ nuclei only. In time t $$ \times $$ 109 years, if the ratio of the sum of stable $${}_{20}^{40}Ca$$ and $${}_{18}^{40}Ar$$ nuclei to the radioactive $${}_{19}^{40}K$$ nuclei is 99, the value of t will be
[Given : In 10 = 2.3]
[Given : In 10 = 2.3]
Questions Asked from Atoms and Nuclei (MCQ (Single Correct Answer))
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