NEET Atoms and Nuclei — Set 15

Question 1

What is the volume of a nucleus with radius $ 4.8 \times 10^{-15} \, \text{m} $? (Use $ \pi = 3.14 $)

Accepted Answer

Volume = $ \frac{4}{3} \pi R^3 $. $ R^3 = (4.8 \times 10^{-15})^3 = 1.105 \times 10^{-43} \, \text{m}^3 $. Volume = $ \frac{4}{3} \times 3.14 \times 1.105 \times 10^{-43} \approx 4.63 \times 10^{-43} \, \text{m}^3 $.

Question 2

A nucleus with mass number 80 has a binding energy of $ 680 \, \text{MeV} $. What is its binding energy per nucleon?

Accepted Answer

$ E_{bn} = \frac{E_b}{A} $. $ E_b = 680 \, \text{MeV} $, $ A = 80 $. $ E_{bn} = \frac{680}{80} = 8.5 \, \text{MeV} $.

Question 3

Which of the following is true about the nuclear force at very short distances (less than 0.8 fm)?

Accepted Answer

The nuclear force becomes strongly repulsive at distances less than 0.8 fm, preventing nucleons from collapsing into each other, as shown in the potential energy plot.

NEET Physics: Atoms and Nuclei — Practice Set 15

Q1. What is the volume of a nucleus with radius \( 4.8 \times 10^{-15} \, \text{m} \)? (Use \( \pi = 3.14 \))

Q2. A nucleus with mass number 80 has a binding energy of \( 680 \, \text{MeV} \). What is its binding energy per nucleon?

Q3. Which of the following is true about the nuclear force at very short distances (less than 0.8 fm)?

Q4. What is the ratio of nuclear radii of nuclei with mass numbers 216 and 8?

Q5. What is the volume of a nucleus with radius \( 3.6 \times 10^{-15} \, \text{m} \)? (Use \( \pi = 3.14 \))

Q6. What is the mass defect of a nucleus with binding energy \( 102.3 \, \text{MeV} \)? (Given \( 1 \, \text{u} = 931.5 \, \text{MeV/c}^2 \))

Q7. What is the nuclear density of a nucleus with mass \( 7.01 \times 10^{-27} \, \text{kg} \) and radius \( 2.5 \times 10^{-15} \, \text{m} \)? (Use \( \pi = 3.14 \))

Q8. What is the binding energy of a nucleus with mass defect \( 0.14 \, \text{u} \)? (Given \( 1 \, \text{u} = 931.5 \, \text{MeV/c}^2 \))

Q9. What happens to the binding energy per nucleon when a heavy nucleus undergoes fission?

Q10. A nucleus with mass number 60 has a binding energy of \( 510 \, \text{MeV} \). What is its binding energy per nucleon?