⇦ | ⇨ |
If the nucleus ²⁷₁₃Al has nuclear radius of about 3.6 fm, then ¹²⁵₃₂Te would have its radius approximately as
Options
(a) 9.6 fm
(b) 12.0 fm
(c) 4.8 fm
(d) 6.0 fm
Correct Answer:
6.0 fm
Explanation:
It has been known that a nucleus of mass number A has radius
R = R₀A¹/³, Where R₀ = 1.2 x 10⁻¹⁵ m, and A = mass number
In case of ²⁷₁₃Al, let nuclear radius be R₁ and for ¹²⁵₃₂Te, nuclear radius be R₂
For ²⁷₁₃Al, R₁ = R₀ (27)¹/³ = 3R₀
For ¹²⁵₃₂Te, R₂ = R₀ (125)¹/³ = 5R₀
R₂ / R₁ = 5R₀ / 3R₀ = 5/3 R₁ = 5/3 x 3.6 = 6 fm.
Alternative Explanation:
Nuclear radii R = R₀ (A)¹/³
Where A is the mass number.
.·. Rтₑ / Rᴀ₁ = [Aтₑ / Aᴀ₁]¹/³ = (125 / 27)¹/³ = 5 / 3
(or), Rтₑ = (5 / 3) × Rᴀ₁ = (5 / 3) × 3.6 = 6 fm
Related Questions: - A body of mass 3 kg is under a constant force which cause a displacement
- A tuning fork A produces 4 beats per second with another tuning fork B of frequency
- The value of coefficient of volume expansion of glycerin is 5 x 10⁻⁴ k⁻¹.
- A small signal voltage V(t)=V₀ sin ωt is applied across an ideal capacitor C
- Shearing stress causes change in
Topics: Atoms and Nuclei
(136)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A body of mass 3 kg is under a constant force which cause a displacement
- A tuning fork A produces 4 beats per second with another tuning fork B of frequency
- The value of coefficient of volume expansion of glycerin is 5 x 10⁻⁴ k⁻¹.
- A small signal voltage V(t)=V₀ sin ωt is applied across an ideal capacitor C
- Shearing stress causes change in
Topics: Atoms and Nuclei (136)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
18000+ students are using NEETLab to improve their score. What about you?
Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.
Share this page with your friends
Leave a Reply