JEE Exam > JEE Notes > Physics for JEE Main & Advanced > JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei
JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei | Physics for JEE Main & Advanced PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1 JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei 2023 Q1: 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) ???? ?????? ?? ? ???? ?????? ???? (1) one ?? particle and one ?? + particle (Q) ???? ?????? ???? ? ???? ?????? ???? (2) three ?? - particles and one ?? particle (R) ???? ?????? ???? ? ???? ?????? ???? (3) two ?? - particles and one ?? particle (S) ???? ?????? ???? ? ???? ?????? ???? (4) one ?? particle and one ?? - particle (5) one ?? particle and two ?? + particles (a) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (b) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (c) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (d) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? [JEE Advanced 2023 Paper 1] Ans: (a) In the given nuclear reaction: ?? 1 ?? ?? 1 ? ?? 2 ?? ?? 2 + ?? 1 ( 2 ?? 4 ) + ?? 2 ( 1 ?? 0 ) + ?? 3 ( -1 ?? 0 ) we have the conservation of charge expressed as : ?? 1 = ?? 2 + 2?? 1 + ?? 2 - ?? 3 and the conservation of nucleons (mass number) is given by: ?? 1 = ?? 2 + 4?? 1 ?? 1 = ?? 1 - ?? 2 4 … … … Page 2 JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei 2023 Q1: 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) ???? ?????? ?? ? ???? ?????? ???? (1) one ?? particle and one ?? + particle (Q) ???? ?????? ???? ? ???? ?????? ???? (2) three ?? - particles and one ?? particle (R) ???? ?????? ???? ? ???? ?????? ???? (3) two ?? - particles and one ?? particle (S) ???? ?????? ???? ? ???? ?????? ???? (4) one ?? particle and one ?? - particle (5) one ?? particle and two ?? + particles (a) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (b) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (c) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (d) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? [JEE Advanced 2023 Paper 1] Ans: (a) In the given nuclear reaction: ?? 1 ?? ?? 1 ? ?? 2 ?? ?? 2 + ?? 1 ( 2 ?? 4 ) + ?? 2 ( 1 ?? 0 ) + ?? 3 ( -1 ?? 0 ) we have the conservation of charge expressed as : ?? 1 = ?? 2 + 2?? 1 + ?? 2 - ?? 3 and the conservation of nucleons (mass number) is given by: ?? 1 = ?? 2 + 4?? 1 ?? 1 = ?? 1 - ?? 2 4 … … … From (i) and (ii), we get N 2 - N 3 = Z 1 - Z 2 - ( A 1 - A 2 2 ) (P) 92 U 238 ? 91 Pa 234 N 1 = 238 - 234 4 = 1 ? 1?? N 2 - N 3 = (92 - 91) - ( 4 2 ) = -1 ? 1?? - (Q) 82 Pb 214 ? 82 Pb 210 N 1 = 214 - 210 4 = 1 ? 1?? N 2 - N 3 = (82 - 82) - ( 4 2 ) = -2 ? 2?? - (R) 81 Tl 210 ? 82 Pb 206 N 1 = 210- 206 4 = 1 ? 1?? N 2 - N 3 = (81 - 83) - 4 2 = -3 ? 3?? - (S) 91 Pa 228 ? 88 Ra 224 N 1 = 228 - 224 4 = 1 ? 1?? N 2 - N 3 = (91 - 88) - 4 2 = 1?? + 2022 Q1: The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be ?? ?? ?? and the binding energy of a neutron be ?? ?? ?? in the nucleus. Which of the following statement(s) is(are) correct? (a) ?? ?? ?? - ?? ?? ?? is proportional to ?? (?? - ?? ) where ?? is the atomic number of the nucleus. (b) ?? ?? ?? - ?? ?? ?? is proportional to ?? - ?? ?? where ?? is the mass number of the nucleus. (c) ?? ?? ?? - ?? ?? ?? is positive. (d) ?? ?? ?? increases if the nucleus undergoes a beta decay emitting a positron. [JEE Advanced 2022 Paper 1] Ans: (a), (b) & (d) Total binding energy (without considering repulsions), ?? ?? = [?? ?? ?? + (?? - ?? )?? ?? - ?? ?? ]?? 2 Where, ?? ?? ?? is the nuclei under consideration. Now, considering repulsion : Page 3 JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei 2023 Q1: 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) ???? ?????? ?? ? ???? ?????? ???? (1) one ?? particle and one ?? + particle (Q) ???? ?????? ???? ? ???? ?????? ???? (2) three ?? - particles and one ?? particle (R) ???? ?????? ???? ? ???? ?????? ???? (3) two ?? - particles and one ?? particle (S) ???? ?????? ???? ? ???? ?????? ???? (4) one ?? particle and one ?? - particle (5) one ?? particle and two ?? + particles (a) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (b) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (c) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (d) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? [JEE Advanced 2023 Paper 1] Ans: (a) In the given nuclear reaction: ?? 1 ?? ?? 1 ? ?? 2 ?? ?? 2 + ?? 1 ( 2 ?? 4 ) + ?? 2 ( 1 ?? 0 ) + ?? 3 ( -1 ?? 0 ) we have the conservation of charge expressed as : ?? 1 = ?? 2 + 2?? 1 + ?? 2 - ?? 3 and the conservation of nucleons (mass number) is given by: ?? 1 = ?? 2 + 4?? 1 ?? 1 = ?? 1 - ?? 2 4 … … … From (i) and (ii), we get N 2 - N 3 = Z 1 - Z 2 - ( A 1 - A 2 2 ) (P) 92 U 238 ? 91 Pa 234 N 1 = 238 - 234 4 = 1 ? 1?? N 2 - N 3 = (92 - 91) - ( 4 2 ) = -1 ? 1?? - (Q) 82 Pb 214 ? 82 Pb 210 N 1 = 214 - 210 4 = 1 ? 1?? N 2 - N 3 = (82 - 82) - ( 4 2 ) = -2 ? 2?? - (R) 81 Tl 210 ? 82 Pb 206 N 1 = 210- 206 4 = 1 ? 1?? N 2 - N 3 = (81 - 83) - 4 2 = -3 ? 3?? - (S) 91 Pa 228 ? 88 Ra 224 N 1 = 228 - 224 4 = 1 ? 1?? N 2 - N 3 = (91 - 88) - 4 2 = 1?? + 2022 Q1: The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be ?? ?? ?? and the binding energy of a neutron be ?? ?? ?? in the nucleus. Which of the following statement(s) is(are) correct? (a) ?? ?? ?? - ?? ?? ?? is proportional to ?? (?? - ?? ) where ?? is the atomic number of the nucleus. (b) ?? ?? ?? - ?? ?? ?? is proportional to ?? - ?? ?? where ?? is the mass number of the nucleus. (c) ?? ?? ?? - ?? ?? ?? is positive. (d) ?? ?? ?? increases if the nucleus undergoes a beta decay emitting a positron. [JEE Advanced 2022 Paper 1] Ans: (a), (b) & (d) Total binding energy (without considering repulsions), ?? ?? = [?? ?? ?? + (?? - ?? )?? ?? - ?? ?? ]?? 2 Where, ?? ?? ?? is the nuclei under consideration. Now, considering repulsion : Number of proton pairs = ?? ?? 2 ? This repulsion energy ? ?? (?? -1) 2 × 1 4?? ? 0 ?? 2 ?? Where R is the radius of the nucleus ? ?? ?? ?? - ?? ?? ?? ? ?? (?? - 1) ? there will be no repulsion term for neutrons. Also, since ?? = ?? 0 ?? 1/3 ? ?? ?? ?? - ?? ?? ?? ? ?? -1/3 Because of repulsion among protons, ?? ?? ?? < ?? ?? ?? Since in ?? + decay, number of protons decrease ? repulsion would decrease ? ?? ?? ?? increases Q2: In a radioactive decay chain reaction, ???? ?????? ???? nucleus decays into ???? ?????? ???? nucleus. The ratio of the number of ?? to number of ?? - particles emitted in this process is [JEE Advanced 2022 Paper 2] Ans: 2 Let the number of ?? -particles be ?? ?? Let the number of ?? -particles be ?? ?? Hence, 4?? ?? = 230- 214 ? ?? ?? = 4 ?? ?? = 84 - (90 - 2?? ?? ) = 84 - 90 + 2(4) = 2 So, ?? ?? ?? ?? = 4 2 = 2: 1 2021 Q1: A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of ???? % and beta-decay with probability of ???? %. Initially, the number of Q nuclei is 1000 . The number of alpha- decays of ?? in the first one hour is (a) 50 (b) 75 (c) 350 (d) 525 [JEE Advanced 2021 Paper 1] Ans: (d) Out of 1000 nuclei of Q, 60% may go ?? -decay ? 600 nuclei may have ?? -decay Page 4 JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei 2023 Q1: 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) ???? ?????? ?? ? ???? ?????? ???? (1) one ?? particle and one ?? + particle (Q) ???? ?????? ???? ? ???? ?????? ???? (2) three ?? - particles and one ?? particle (R) ???? ?????? ???? ? ???? ?????? ???? (3) two ?? - particles and one ?? particle (S) ???? ?????? ???? ? ???? ?????? ???? (4) one ?? particle and one ?? - particle (5) one ?? particle and two ?? + particles (a) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (b) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (c) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (d) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? [JEE Advanced 2023 Paper 1] Ans: (a) In the given nuclear reaction: ?? 1 ?? ?? 1 ? ?? 2 ?? ?? 2 + ?? 1 ( 2 ?? 4 ) + ?? 2 ( 1 ?? 0 ) + ?? 3 ( -1 ?? 0 ) we have the conservation of charge expressed as : ?? 1 = ?? 2 + 2?? 1 + ?? 2 - ?? 3 and the conservation of nucleons (mass number) is given by: ?? 1 = ?? 2 + 4?? 1 ?? 1 = ?? 1 - ?? 2 4 … … … From (i) and (ii), we get N 2 - N 3 = Z 1 - Z 2 - ( A 1 - A 2 2 ) (P) 92 U 238 ? 91 Pa 234 N 1 = 238 - 234 4 = 1 ? 1?? N 2 - N 3 = (92 - 91) - ( 4 2 ) = -1 ? 1?? - (Q) 82 Pb 214 ? 82 Pb 210 N 1 = 214 - 210 4 = 1 ? 1?? N 2 - N 3 = (82 - 82) - ( 4 2 ) = -2 ? 2?? - (R) 81 Tl 210 ? 82 Pb 206 N 1 = 210- 206 4 = 1 ? 1?? N 2 - N 3 = (81 - 83) - 4 2 = -3 ? 3?? - (S) 91 Pa 228 ? 88 Ra 224 N 1 = 228 - 224 4 = 1 ? 1?? N 2 - N 3 = (91 - 88) - 4 2 = 1?? + 2022 Q1: The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be ?? ?? ?? and the binding energy of a neutron be ?? ?? ?? in the nucleus. Which of the following statement(s) is(are) correct? (a) ?? ?? ?? - ?? ?? ?? is proportional to ?? (?? - ?? ) where ?? is the atomic number of the nucleus. (b) ?? ?? ?? - ?? ?? ?? is proportional to ?? - ?? ?? where ?? is the mass number of the nucleus. (c) ?? ?? ?? - ?? ?? ?? is positive. (d) ?? ?? ?? increases if the nucleus undergoes a beta decay emitting a positron. [JEE Advanced 2022 Paper 1] Ans: (a), (b) & (d) Total binding energy (without considering repulsions), ?? ?? = [?? ?? ?? + (?? - ?? )?? ?? - ?? ?? ]?? 2 Where, ?? ?? ?? is the nuclei under consideration. Now, considering repulsion : Number of proton pairs = ?? ?? 2 ? This repulsion energy ? ?? (?? -1) 2 × 1 4?? ? 0 ?? 2 ?? Where R is the radius of the nucleus ? ?? ?? ?? - ?? ?? ?? ? ?? (?? - 1) ? there will be no repulsion term for neutrons. Also, since ?? = ?? 0 ?? 1/3 ? ?? ?? ?? - ?? ?? ?? ? ?? -1/3 Because of repulsion among protons, ?? ?? ?? < ?? ?? ?? Since in ?? + decay, number of protons decrease ? repulsion would decrease ? ?? ?? ?? increases Q2: In a radioactive decay chain reaction, ???? ?????? ???? nucleus decays into ???? ?????? ???? nucleus. The ratio of the number of ?? to number of ?? - particles emitted in this process is [JEE Advanced 2022 Paper 2] Ans: 2 Let the number of ?? -particles be ?? ?? Let the number of ?? -particles be ?? ?? Hence, 4?? ?? = 230- 214 ? ?? ?? = 4 ?? ?? = 84 - (90 - 2?? ?? ) = 84 - 90 + 2(4) = 2 So, ?? ?? ?? ?? = 4 2 = 2: 1 2021 Q1: A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of ???? % and beta-decay with probability of ???? %. Initially, the number of Q nuclei is 1000 . The number of alpha- decays of ?? in the first one hour is (a) 50 (b) 75 (c) 350 (d) 525 [JEE Advanced 2021 Paper 1] Ans: (d) Out of 1000 nuclei of Q, 60% may go ?? -decay ? 600 nuclei may have ?? -decay ?? = ln 2 ?? 1/2 = ln 2 20 ?? = 1 h = 60 min Using, ?? = ?? 0 ?? -???? = 600 × ?? - ln 2 20 ×60 ?? = 75 ? 75 nuclei are left after one hour So, number of nuclei decayed = 600 - 75 = 525 2020 Q1: In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance ?? from the cathode. The target is kept at a potential ?? higher than the cathode resulting in emission of continuous and characteristic ?? -rays. If the filament current I is decreased to ?? ?? , the potential difference ?? is increased to ?? ?? , and the separation distance ?? is reduced to ?? ?? , then (a) the cut-off wavelength will reduce to half, and the wavelengths of the characteristic ?? -rays will remain the same (b) the cut-off wavelength as well as the wavelengths of the characteristic X-rays will remain the same (c) the cut-off wavelength will reduce to half, and the intensities of all the X-rays will decrease (d) the cut-off wavelength will become two times larger, and the intensity of all the X-rays will decrease [JEE Advanced 2020 Paper 2] Ans: (a) & (c) ?? ? 1 ?? So, when V double, then cut-off wavelength become half. Characteristic does not depend on voltage. When I is halved, then intensity will decrease. Q2: A particle of mass ?? moves in circular orbits with potential energy ?? (?? ) = ???? , where ?? is a positive constant and ?? is its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the particle's orbit is denoted by ?? and its speed and energy are denoted by ?? and ?? , respectively, then for the th orbit (here ?? is the Planck's constant) (a) ?? ? ?? ?? ?? and ?? ? ?? ?? ?? (b) ?? ? ?? ?? ?? and ?? ? ?? ?? ?? (c) ?? = ?? ?? ( ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ) ?? ?? (d) ?? = ?? ( ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ) ?? ?? [JEE Advanced 2020 Paper 1] Ans: (b) & (c) Page 5 JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei 2023 Q1: 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) ???? ?????? ?? ? ???? ?????? ???? (1) one ?? particle and one ?? + particle (Q) ???? ?????? ???? ? ???? ?????? ???? (2) three ?? - particles and one ?? particle (R) ???? ?????? ???? ? ???? ?????? ???? (3) two ?? - particles and one ?? particle (S) ???? ?????? ???? ? ???? ?????? ???? (4) one ?? particle and one ?? - particle (5) one ?? particle and two ?? + particles (a) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (b) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (c) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? (d) ?? ? ?? , ?? ? ?? , ?? ? ?? , ?? ? ?? [JEE Advanced 2023 Paper 1] Ans: (a) In the given nuclear reaction: ?? 1 ?? ?? 1 ? ?? 2 ?? ?? 2 + ?? 1 ( 2 ?? 4 ) + ?? 2 ( 1 ?? 0 ) + ?? 3 ( -1 ?? 0 ) we have the conservation of charge expressed as : ?? 1 = ?? 2 + 2?? 1 + ?? 2 - ?? 3 and the conservation of nucleons (mass number) is given by: ?? 1 = ?? 2 + 4?? 1 ?? 1 = ?? 1 - ?? 2 4 … … … From (i) and (ii), we get N 2 - N 3 = Z 1 - Z 2 - ( A 1 - A 2 2 ) (P) 92 U 238 ? 91 Pa 234 N 1 = 238 - 234 4 = 1 ? 1?? N 2 - N 3 = (92 - 91) - ( 4 2 ) = -1 ? 1?? - (Q) 82 Pb 214 ? 82 Pb 210 N 1 = 214 - 210 4 = 1 ? 1?? N 2 - N 3 = (82 - 82) - ( 4 2 ) = -2 ? 2?? - (R) 81 Tl 210 ? 82 Pb 206 N 1 = 210- 206 4 = 1 ? 1?? N 2 - N 3 = (81 - 83) - 4 2 = -3 ? 3?? - (S) 91 Pa 228 ? 88 Ra 224 N 1 = 228 - 224 4 = 1 ? 1?? N 2 - N 3 = (91 - 88) - 4 2 = 1?? + 2022 Q1: The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be ?? ?? ?? and the binding energy of a neutron be ?? ?? ?? in the nucleus. Which of the following statement(s) is(are) correct? (a) ?? ?? ?? - ?? ?? ?? is proportional to ?? (?? - ?? ) where ?? is the atomic number of the nucleus. (b) ?? ?? ?? - ?? ?? ?? is proportional to ?? - ?? ?? where ?? is the mass number of the nucleus. (c) ?? ?? ?? - ?? ?? ?? is positive. (d) ?? ?? ?? increases if the nucleus undergoes a beta decay emitting a positron. [JEE Advanced 2022 Paper 1] Ans: (a), (b) & (d) Total binding energy (without considering repulsions), ?? ?? = [?? ?? ?? + (?? - ?? )?? ?? - ?? ?? ]?? 2 Where, ?? ?? ?? is the nuclei under consideration. Now, considering repulsion : Number of proton pairs = ?? ?? 2 ? This repulsion energy ? ?? (?? -1) 2 × 1 4?? ? 0 ?? 2 ?? Where R is the radius of the nucleus ? ?? ?? ?? - ?? ?? ?? ? ?? (?? - 1) ? there will be no repulsion term for neutrons. Also, since ?? = ?? 0 ?? 1/3 ? ?? ?? ?? - ?? ?? ?? ? ?? -1/3 Because of repulsion among protons, ?? ?? ?? < ?? ?? ?? Since in ?? + decay, number of protons decrease ? repulsion would decrease ? ?? ?? ?? increases Q2: In a radioactive decay chain reaction, ???? ?????? ???? nucleus decays into ???? ?????? ???? nucleus. The ratio of the number of ?? to number of ?? - particles emitted in this process is [JEE Advanced 2022 Paper 2] Ans: 2 Let the number of ?? -particles be ?? ?? Let the number of ?? -particles be ?? ?? Hence, 4?? ?? = 230- 214 ? ?? ?? = 4 ?? ?? = 84 - (90 - 2?? ?? ) = 84 - 90 + 2(4) = 2 So, ?? ?? ?? ?? = 4 2 = 2: 1 2021 Q1: A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of ???? % and beta-decay with probability of ???? %. Initially, the number of Q nuclei is 1000 . The number of alpha- decays of ?? in the first one hour is (a) 50 (b) 75 (c) 350 (d) 525 [JEE Advanced 2021 Paper 1] Ans: (d) Out of 1000 nuclei of Q, 60% may go ?? -decay ? 600 nuclei may have ?? -decay ?? = ln 2 ?? 1/2 = ln 2 20 ?? = 1 h = 60 min Using, ?? = ?? 0 ?? -???? = 600 × ?? - ln 2 20 ×60 ?? = 75 ? 75 nuclei are left after one hour So, number of nuclei decayed = 600 - 75 = 525 2020 Q1: In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance ?? from the cathode. The target is kept at a potential ?? higher than the cathode resulting in emission of continuous and characteristic ?? -rays. If the filament current I is decreased to ?? ?? , the potential difference ?? is increased to ?? ?? , and the separation distance ?? is reduced to ?? ?? , then (a) the cut-off wavelength will reduce to half, and the wavelengths of the characteristic ?? -rays will remain the same (b) the cut-off wavelength as well as the wavelengths of the characteristic X-rays will remain the same (c) the cut-off wavelength will reduce to half, and the intensities of all the X-rays will decrease (d) the cut-off wavelength will become two times larger, and the intensity of all the X-rays will decrease [JEE Advanced 2020 Paper 2] Ans: (a) & (c) ?? ? 1 ?? So, when V double, then cut-off wavelength become half. Characteristic does not depend on voltage. When I is halved, then intensity will decrease. Q2: A particle of mass ?? moves in circular orbits with potential energy ?? (?? ) = ???? , where ?? is a positive constant and ?? is its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the particle's orbit is denoted by ?? and its speed and energy are denoted by ?? and ?? , respectively, then for the th orbit (here ?? is the Planck's constant) (a) ?? ? ?? ?? ?? and ?? ? ?? ?? ?? (b) ?? ? ?? ?? ?? and ?? ? ?? ?? ?? (c) ?? = ?? ?? ( ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ) ?? ?? (d) ?? = ?? ( ?? ?? ?? ?? ?? ?? ?? ?? ?? ?? ) ?? ?? [JEE Advanced 2020 Paper 1] Ans: (b) & (c) | Force | = | - ???? ???? | ? ?? = ?? ?? 2 ?? ?????? = ?? h 2?? … . . (ii) From Eqs. (i) and (ii), we get ? ?? = ?? ?? ( ?? h 2?????? ) 2 ? (?? = ?? h 2?????? ) or ?? = ?? ?? 2 h 2 4?? 2 ?? 2 ?? 3 or ?? = ?? 2 h 2 4?? 2 ?? ?? 3 ?? 3 ? ?? 2 ( as F = constant ) ?? ? ?? 2/3 ?? = ?? h 2?????? ?? ? ?? ?? 2/3 or ?? ? ?? 1/3 2019 Q1: In a radioactive sample, ???? ???? ?? nuclei either decay into stable ???? ???? ???? nuclei with decay constant ?? . ?? × ???? -???? per year or into stable ???? ???? ???? nuclei with decay constant ?? . ?? × ???? -???? per year. Given that in this sample all the stable ???? ???? ???? and ???? ???? ???? nuclei are produced by the ???? ???? ?? nuclei only. In time ?? × ???? ?? years, if the ratio of the sum of stable ???? ???? ???? and ???? ???? ???? nuclei to the radioactive ???? ???? ?? nuclei is 99 , the value of ?? will be [Given : In 10 = 2.3] (a) 9.2 (b) 1.15Read More
|
289 videos|635 docs|179 tests
|
Related Exams
About this Document
|
Dec 22, 2024 Last updated |
Document Description: JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei for JEE 2024 is part of Physics for JEE Main & Advanced preparation.
The notes and questions for JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei have been prepared according to the JEE exam syllabus. Information about JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei covers topics
like and JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei Example, for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei.
Introduction of JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei in English is available as part of our Physics for JEE Main & Advanced
for JEE & JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei in Hindi for Physics for JEE Main & Advanced course.
Download more important topics related with notes, lectures and mock test series for JEE
Exam by signing up for free. JEE: JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei | Physics for JEE Main & Advanced
Description
Full syllabus notes, lecture & questions for JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei | Physics for JEE Main & Advanced - JEE | Plus excerises question with solution to help you revise complete syllabus for Physics for JEE Main & Advanced | Best notes, free PDF download
Information about JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei
In this doc you can find the meaning of JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei defined & explained in the simplest way possible. Besides explaining types of
JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei theory, EduRev gives you an ample number of questions to practice JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei tests, examples and also practice JEE
tests
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Objective type Questions
,practice quizzes
,video lectures
,Free
,Sample Paper
,Viva Questions
,past year papers
,Extra Questions
,Important questions
,ppt
,mock tests for examination
,MCQs
,Semester Notes
,JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei | Physics for JEE Main & Advanced
,JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei | Physics for JEE Main & Advanced
,Previous Year Questions with Solutions
,shortcuts and tricks
,Exam
,JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei | Physics for JEE Main & Advanced
,study material
,Summary
;
Additional Information about JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei for JEE Preparation
JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei Free PDF Download
The JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei is an invaluable resource that delves deep into the core of the JEE exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei now and kickstart your journey towards success in the JEE exam.
Importance of JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei
The importance of JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei cannot be overstated, especially for JEE aspirants.
This document holds the key to success in the JEE exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei Notes
JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei Notes on EduRev are your ultimate resource for success.
JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei JEE
The "JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei JEE Questions" guide is a valuable resource for all aspiring students preparing for the
JEE exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei on the App
Students of JEE can study JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of JEE Advanced Previous Year Questions (2018 - 2023): Atoms and Nuclei is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup