Question:
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) \(^{238}_{92}U β ^{234}_{91}Pa\) (1) one πΌ particle and one π½+ particle (Q) \(^{214}_{82}Pb β ^{210}_{82}Pb\) (2) three π½β particles and one πΌ particle (R) \(^{210}_{81}Tl β ^{206}_{82}Pb\) (3) two π½β particles and one πΌ particle (S) \(^{228}_{91}Pa β ^{224}_{88}Ra\) (4) one πΌ particle and one π½β particle (5) one πΌ particle and two π½+ particles
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) | \(^{238}_{92}U β ^{234}_{91}Pa\) | (1) | one πΌ particle and one π½+ particle |
| (Q) | \(^{214}_{82}Pb β ^{210}_{82}Pb\) | (2) | three π½β particles and one πΌ particle |
| (R) | \(^{210}_{81}Tl β ^{206}_{82}Pb\) | (3) | two π½β particles and one πΌ particle |
| (S) | \(^{228}_{91}Pa β ^{224}_{88}Ra\) | (4) | one πΌ particle and one π½β particle |
| (5) | one πΌ particle and two π½+ particles |
Updated On: May 24, 2024
P β4, Qβ 3, R β2, S β1
P β4, Qβ 1, R β2, S β5
P β5, Qβ 3, R β1, S β4
P β5, Qβ 1, R β3, S β2
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The Correct Option is A
Solution and Explanation
The correct option is (A): P β 4, Q β 3, R β 2, S β 1
Explanation:
In Ξ² decay mass number decreases by 4 unit and atomic number decreases by 2 unit.
In Ξ²β decay mass number does not change but atomic number increases by 1 unit.
In Ξ²+ decay mass number does not change but atomic number decreases by 1 unit.
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Concepts Used:
Nuclear Physics
Nuclear physics is the field of physics that studies atomic nuclei and their constituents and interactions, in addition to the study of other forms of nuclear matter. Nuclear physics should not be confused with atomic physics, which studies the atom as a whole, including its electrons
Radius of Nucleus
βRβ represents the radius of the nucleus. R = RoA1/3
Where,
- Ro is the proportionality constant
- A is the mass number of the element
Total Number of Protons and Neutrons in a Nucleus
The mass number (A), also known as the nucleon number, is the total number of neutrons and protons in a nucleus.
A = Z + N
Where, N is the neutron number, A is the mass number, Z is the proton number
Mass Defect
Mass defect is the difference between the sum of masses of the nucleons (neutrons + protons) constituting a nucleus and the rest mass of the nucleus and is given as:
Ξm = Zmp + (A - Z) mn - M
Where Z = atomic number, A = mass number, mp = mass of 1 proton, mn = mass of 1 neutron and M = mass of nucleus.