Match the LIST-I with LIST-II
LIST-ILIST-II
A. ¹n + ²³⁵₉₂U arrow ¹⁴⁰₅₄Xe + ⁹⁴₃₈Sr + 2¹₀nI. Chemical reaction
B. 2H₂ + O₂ arrow 2H₂OII. Fusion with +ve Q value
C. ²₁H + ²₁H arrow ³He + ¹₀nIII. Fission
D. ¹₁H + ³₁H arrow ²₁H + ²₁HIV. Fusion with -ve Q value
Choose the correct answer from the options given below:

Solution & Explanation

Related Formula
  • Nuclear Fission: Heavy nucleus splits into intermediate lighter fragments after absorbing a neutron.
  • Nuclear Fusion: Extremely light isotopes combine to form heavier nuclei.
  • Q-value: Positive for exothermic nuclear processes (releasing energy) and negative for endothermic nuclear processes (absorbing energy).
Core Logic

Let us check each reaction:

  • Reaction A: ¹n + ²³⁵₉₂U arrow ¹⁴⁰₅₄Xe + ⁹⁴₃₈Sr + 2¹₀n
  • This is a heavy Uranium nucleus absorbing a neutron and splitting into smaller fragments. This is the definition of Nuclear Fission (III).

  • Reaction B: 2H₂ + O₂ arrow 2H₂O
  • This represents the combination of hydrogen and oxygen molecules to form water, which is a classic exothermic Chemical reaction (I).

  • Reaction C: ²₁H + ²₁H arrow ³He + ¹₀n
  • Light Deuterium nuclei fuse together to form Helium-3, releasing considerable energy (Q > 0). This is Fusion with positive Q value (II).

  • Reaction D: ¹₁H + ³₁H arrow ²₁H + ²₁H
  • Proton and Tritium reacting to form Deuteron products. Since this reaction has products with a lower binding energy than the reactants, it is an endothermic process. Hence, it is Fusion with negative Q value (IV).

Step 1: Alignment

Let's summarize the matches:

  • A arrow III
  • B arrow I
  • C arrow II
  • D arrow IV
  • This perfectly corresponds to Option (2).

Pattern Recognition

Identifying chemical vs. nuclear reactions is trivial (chemical reactions involve molecular change like 2H₂ + O₂, whereas nuclear reactions involve changes in nuclear isotopes). Always use chemical reactions to instantly lock in a match (B-I) and narrow down options!

Chapter Mix

Class 12 Physics: Nuclei Class 11 Chemistry: Chemical Bonding and Molecular Structure

Reference Study Guides

More Nuclei Previous-Year Questions — Page 5

Q45 jee_main_2024_31_jan_evening Nuclear Radius
The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:
  • A. 24
  • B. 32
  • C. 40
  • D. 20

Solution

Related Formula

Nuclear radius is empirically related to mass number by: R = R₀ A1/3

Core Logic

Given R₁ = (R₂)/(2) where A₂ = 192. We need to find A₁.

Step 1: Forming the Ratio
(R₁)/(R₂) = ((A₁)/(A₂))1/3 (1)/(2) = ((A₁)/(192))1/3
Step 2: Cubing Both Sides
((1)/(2))³ = (A₁)/(192) (1)/(8) = (A₁)/(192) A₁ = (192)/(8) = 24
Pattern Recognition

Since R ∝ A1/3, scaling R by k means scaling A by k³. Half the radius (k = 1/2) means 1/8th the mass number.

Chapter Mix

Class 12 Physics: Nuclei

Q60 jee_main_2024_31_jan_evening Nuclear Size and Density
A nucleus has mass number A₁ and volume V₁. Another nucleus has mass number A₂ and volume V₂. If relation between mass number is A₂ = 4A₁, then (V₂)/(V₁) = ________.
Numerical Answer. Answer: 4 to 4

Solution

Related Formula

R = R₀ A1/3

V = (4)/(3)π R³
Core Logic

Since radius R is proportional to A1/3, the volume V (which depends on R³) will be directly proportional to the mass number A.

Step 1: Show Proportionality
V = (4)/(3)π (R₀ A1/3)³ = (4)/(3)π R₀³ A

This proves that V ∝ A.

Step 2: Calculate Ratio
(V₂)/(V₁) = (A₂)/(A₁)

Given that A₂ = 4A₁:

(V₂)/(V₁) = (4A₁)/(A₁) = 4
Pattern Recognition

Nuclear density is constant for all nuclei. Therefore, Mass ∝ Volume. Since Mass number (A) represents mass, Volume is strictly linearly proportional to Mass number.

Chapter Mix

Class 12 Physics: Nuclei

Q60 jee_main_2024_31_jan_morning Mass Defect And Energy
The mass defect in a particular reaction is 0.4 g. The amount of energy liberated is n × 10⁷ kWh where n = _______. (speed of light = 3 × 10⁸ m/s)
Numerical Answer. Answer: 1 to 1

Solution

Related Formula
E = Δ m c² 1 kWh = 3.6 × 10⁶ J
Core Logic

Given the mass defect:

Δ m = 0.4 g = 0.4 × 10⁻³ kg

The total energy liberated in Joules is:

E = (0.4 × 10⁻³) × (3 × 10⁸)² E = 0.4 × 10⁻³ × 9 × 10¹⁶ E = 3.6 × 10¹³ J
Step 2: Conversion to kWh

We need the answer in kWh. Since 1 kWh = 1000 W × 3600 s = 3.6 × 10⁶ J:

E = 3.6 × 10¹³3.6 × 10⁶ kWh E = 10⁷ kWh

Comparing this to n × 10⁷ kWh, we get: n = 1

Chapter Mix

Class 12 Physics: Nuclei

More Nuclei Questions — jee_main_2025_03_april_morning

Practice all Nuclei previous-year questions →

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