Home Physics Atomic and Nuclear Physics Radioactivity Calculate the specific activities of nuclid…
Physics Atomic and Nuclear Physics Radioactivity Subjective Type
Published on: September 12, 2026

Calculate the specific activities of nuclides whose half lives are 15 hours and years respectively.

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
A
Step 1: Identify the half-lives of the nuclides: Na\textsuperscript{24} has a half-life of 15 hours and U\textsuperscript{235} has a half-life of approximately 703.8 million years (or 1.11114 x 10^9 hours).
Step 2: Use the formula for specific activity (A) which is given by:
A = \frac{N\lambda}{M}
where N is the number of radioactive nuclei, \lambda is the decay constant, and M is the molar mass.
For Na\textsuperscript{24}:
The decay constant \lambda = \frac{\ln{2}}{T_{1/2}} = \frac{0.693}{54000 \text{ seconds}} = 1.285\times 10^{-5} \text{ s}^{-1}.
The specific activity is calculated in Bq/g. M = 24 g/mol for Na\textsuperscript{24}.
Similarly, for U\textsuperscript{235}:
The decay constant \lambda = \frac{0.693}{703800000 \text{ hours}} = 1.14 \times 10^{-9} \text{ hours}^{-1} = 3.17 \times 10^{-10} \text{ s}^{-1}.
The molar mass M = 235 g/mol for U\textsuperscript{235}.
Therefore, specific activity calculations yield values which can be compared directly to find the result.

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.