If the nucleus ²⁷₁₃Al has nuclear radius of about 3.6 fm

⇦

⇨

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:

1. If the length of a stretched string is shortened by 4% and the tension is increased
2. Reactance of a capacitor of capacitance C µF for A.C freqency (400 / π) Hz is 25 ohm
3. A body of mass 0.5 kg travels in a straight line with velocity v=a x³/², where
4. A force of 10 newton acts on a body of mass 20 kg for 10 seconds. Change in its momentum
5. The e.m.f. of a battery is 2 V and its internal resistance is 0.5 Ω. The maximum

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