BITSAT2014PhysicsNuclear PhysicsActual
Let binding energy per nucleon of nucleus is denoted by E _ bn and radius of nucleus is denoted as r . If mass number of nuclei A , B and 64 and 125 respectively then
Options
- A(r_ A < r_ B , E_ b n A < E_ b n B )
- B(r_ A < r_ B , E_ b n A < E_ b n A )
- C(r_ A = 4 5 r_ B , E_ b n A < E_ b n B )
- D(r_ A E_ b n B )
Correct answer
D. (r_ A E_ b n B )
Step-by-step solution
r = r ₀( ~A )^ 1 / 3 r increases with increasing A mass number So, r_ A 56 ⁵⁶ Fe has highest E _ bn value. So, E_ b n for A=64 is larger as compared to E _ bn for nucleus with A =125 E _ bnA > E _ bnB