Most Important Selected Qs for JEE AdvancedPhysicsNuclear Physics
Paragraph: A nucleus kept at rest in the free space, break up into two smaller nuclei of masses m and 2 m . Total energy generated in this fission is E . The bigger part is radioactive, emits five gamma ray photons in the direction of its velocity and finally comes to rest (given h =6.6 10⁻³⁴ ~J - s , m =1.00 10⁻²⁶ ~kg , E =3.63 10⁻⁸ mc ^2, c =3 10^8 ~m / s Question: Fractional loss of mass in the fission is
Options
- A1.21 10⁻⁸
- B2.56 10⁻⁸
- C1.73 10⁻⁸
- D3.52 10⁻⁸
Correct answer
A. 1.21 10⁻⁸
Step-by-step solution
Total energy released will be in released in form K. Energy. Let V be the velocity of smaller nucleus. aligned & 1 2 m v^2+ 1 2 (2 m) v^2 4 =E & 3 4 m v^2=E aligned aligned v & = 4 E 3 m = 4 3.63 10⁻⁸ m c^2 3 m & = 4 1.21 10⁻⁸ 9 10⁻¹⁶ & =6 1.1 10^4 6.6 10^4 ~m / s 2 m & v 2 =5 h aligned