NEET Atoms and Nuclei — Set 22

Question 1

What is the energy equivalent of $ 0.005 \, \text{kg} $ of matter in Joules? (Given $ c = 3 \times 10^8 \, \text{m/s} $)

Accepted Answer

$ E = m c^2 $. $ m = 0.005 \, \text{kg} $, $ c^2 = 9 \times 10^{16} \, \text{m}^2/\text{s}^2 $. $ E = 0.005 \times 9 \times 10^{16} = 4.5 \times 10^{14} \, \text{J} $.

Question 2

What is the mass defect of a nucleus with binding energy $ 186.3 \, \text{MeV} $? (Given $ 1 \, \text{u} = 931.5 \, \text{MeV/c}^2 $)

Accepted Answer

$ \Delta M = \frac{E_b}{c^2} $. $ \Delta M = \frac{186.3}{931.5} \approx 0.2 \, \text{u} $.

Question 3

What is the primary source of energy in stars like the Sun?

Accepted Answer

The energy in stars like the Sun is generated through nuclear fusion, where light nuclei (e.g., hydrogen) combine to form heavier nuclei (e.g., helium), releasing energy due to increased binding energy per nucleon.

NEET Physics: Atoms and Nuclei — Practice Set 22

Q1. What is the energy equivalent of \( 0.005 \, \text{kg} \) of matter in Joules? (Given \( c = 3 \times 10^8 \, \text{m/s} \))

Q2. What is the mass defect of a nucleus with binding energy \( 186.3 \, \text{MeV} \)? (Given \( 1 \, \text{u} = 931.5 \, \text{MeV/c}^2 \))

Q3. What is the primary source of energy in stars like the Sun?

Q4. What is the primary factor limiting the size of stable nuclei?

Q5. How much energy is equivalent to a mass defect of \( 0.1 \, \text{u} \)? (Given \( 1 \, \text{u} = 931.5 \, \text{MeV/c}^2 \))

Q6. What is the mass defect of a nucleus with binding energy \( 149.04 \, \text{MeV} \)? (Given \( 1 \, \text{u} = 931.5 \, \text{MeV/c}^2 \))

Q7. The binding energy per nucleon of a nucleus is \( 8.5 \, \text{MeV} \). What is the total binding energy for a nucleus with mass number 20?

Q8. Which process involves the splitting of a heavy nucleus into two intermediate mass fragments?

Q9. What is the energy equivalent of \( 0.01 \, \text{kg} \) of matter in Joules? (Given \( c = 3 \times 10^8 \, \text{m/s} \))

Q10. What is the mass number of a nucleus with radius \( 5.4 \times 10^{-15} \, \text{m} \)? (Given \( R_0 = 1.2 \times 10^{-15} \, \text{m} \))