NEET Atoms and Nuclei — Set 21

Question 1

A nucleus with mass number 28 has a binding energy of $ 224 \, \text{MeV} $. What is its binding energy per nucleon?

Accepted Answer

$ E_{bn} = \frac{E_b}{A} $. $ E_b = 224 \, \text{MeV} $, $ A = 28 $. $ E_{bn} = \frac{224}{28} = 8.0 \, \text{MeV} $.

Question 2

A nucleus with mass number 36 has a binding energy of $ 288 \, \text{MeV} $. What is its binding energy per nucleon?

Accepted Answer

$ E_{bn} = \frac{E_b}{A} $. $ E_b = 288 \, \text{MeV} $, $ A = 36 $. $ E_{bn} = \frac{288}{36} = 8.0 \, \text{MeV} $.

Question 3

What is the nuclear density of a nucleus with mass $ 3.67 \times 10^{-27} \, \text{kg} $ and radius $ 2.0 \times 10^{-15} \, \text{m} $? (Use $ \pi = 3.14 $)

Accepted Answer

Density = $ \frac{\text{mass}}{\text{volume}} $, Volume = $ \frac{4}{3} \pi R^3 $. $ R^3 = (2.0 \times 10^{-15})^3 = 8.0 \times 10^{-45} \, \text{m}^3 $. Volume = $ \frac{4}{3} \times 3.14 \times 8.0 \times 10^{-45} \approx 3.35 \times 10^{-44} \, \text{m}^3 $. Density = $ \frac{3.67 \times 10^{-27}}{3.35 \times 10^{-44}} \approx 1.10 \times 10^{17} \, \text{kg/m}^3 $.

NEET Physics: Atoms and Nuclei — Practice Set 21

Q1. A nucleus with mass number 28 has a binding energy of \( 224 \, \text{MeV} \). What is its binding energy per nucleon?

Q2. A nucleus with mass number 36 has a binding energy of \( 288 \, \text{MeV} \). What is its binding energy per nucleon?

Q3. What is the nuclear density of a nucleus with mass \( 3.67 \times 10^{-27} \, \text{kg} \) and radius \( 2.0 \times 10^{-15} \, \text{m} \)? (Use \( \pi = 3.14 \))

Q4. What is the radius of a nucleus with mass number 16? (Given \( R_0 = 1.2 \times 10^{-15} \, \text{m} \))

Q5. A nucleus has a binding energy of \( 127.5 \, \text{MeV} \) and mass number 16. What is its binding energy per nucleon?

Q6. Why is the nuclear force considered saturated in large nuclei?

Q7. A nucleus with mass number 12 has a binding energy of \( 96 \, \text{MeV} \). What is its binding energy per nucleon?

Q8. A nucleus with mass number 18 has a binding energy of \( 144 \, \text{MeV} \). What is its binding energy per nucleon?

Q9. Which statement is true about the energy release in nuclear processes?

Q10. What is the role of high temperature in nuclear fusion?