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NEET PHYSICSNUCLEIEasy

Question

When two deuterium nuclei fuse together to form a tritium nucleus, we get a:

A

Neutron

B

Deuteron

C

α\alpha-particle

D

Proton

Step-by-Step Solution

  1. Reaction Identification: The fusion of two deuterium nuclei (12H_{1}^{2}\text{H}) can proceed via two common branches. The question specifies the branch where a tritium nucleus (13H_{1}^{3}\text{H}) is formed.
  2. Conservation Laws: Apply the conservation of mass number (AA) and atomic number (ZZ) to the reaction equation: 12H+12H13H+ZAX_{1}^{2}\text{H} + _{1}^{2}\text{H} \rightarrow _{1}^{3}\text{H} + _{Z}^{A}\text{X}
  3. Balancing:
  • Mass Number: 2+2=3+A    A=12 + 2 = 3 + A \implies A = 1
  • Atomic Number: 1+1=1+Z    Z=11 + 1 = 1 + Z \implies Z = 1
  1. Identification: The particle with mass number 1 and atomic number 1 (11X_{1}^{1}\text{X}) is a proton (11p_{1}^{1}\text{p} or 1H^{1}\text{H}) .

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from NUCLEI. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSNUCLEIdeuteriumnucleitogethertritiumnucleus

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In the nuclear reaction $X(n, \alpha){}_{3}^{7}\mathrm{Li}$, the term $X$ will be:

A.${}_{5}^{10}\mathrm{B}$
B.${}_{5}^{9}\mathrm{B}$
C.${}_{5}^{11}\mathrm{B}$
D.${}_{2}^{4}\mathrm{He}$
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The half-life of a radioactive sample undergoing $\alpha$-decay is $1.4 \times 10^{17}\text{ s}$. If the number of nuclei in the sample is $2.0 \times 10^{21}$, the activity of the sample is nearly equal to:

A.$10^4\text{ Bq}$
B.$10^5\text{ Bq}$
C.$10^6\text{ Bq}$
D.$10^3\text{ Bq}$
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If the nuclear radius of $^{27}\text{Al}$ is 3.6 Fermi, the approximate nuclear radius of $^{64}\text{Cu}$ in Fermi is:

A.2.4
B.1.2
C.4.8
D.3.6
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The half-life of a radioactive substance is 30 minutes. The time (in minute) taken between 40% decay and 85% decay of the same radioactive substance is:

A.15
B.30
C.45
D.60
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The fraction of the original number of radioactive atoms that disintegrates (decays) during the average lifetime of a radioactive substance will be:

A.1/e
B.1/(1+e)
C.(e-1)/(e+1)
D.(e-1)/e
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A nucleus of mass number 189 splits into two nuclei having mass numbers 125 and 64. The ratio of the radius of two daughter nuclei respectively is:

A.25:16:00
B.1:1
C.4:5
D.5:4
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In the nuclear emission stated above: ${}_{82}^{290}X \xrightarrow{\alpha} Y \xrightarrow{e^+} Z \xrightarrow{\beta^-} P \xrightarrow{e^-} Q$, the mass number and atomic number of the product Q respectively, are:

A.286, 80
B.288, 82
C.286, 81
D.280, 81
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The energy equivalent of 0.5 g of a substance is:

A.4.5 × 10^{13} J
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