A nucleus of mass M+ Δ m is at rest and decays into two daughter nuclei of equal mass M/2 each. Speed of light is c. The binding energy per nucleon for the parent nucleus is E₁ and that for the daughter nuclei is E₂. Then

Atoms and Nuclei: JEE Main 2010 Physics question

JEE Main 2010 · Annual, Paper 1 · Q6041

JEE Main 2010Annual, Paper 1PhysicsEasyAtoms and Nuclei183× since 2002

A nucleus of mass

M+

\Delta m

is at rest and decays into two daughter nuclei of equal mass

{M \over 2}

each. Speed of light is

c.

The binding energy per nucleon for the parent nucleus is

{E_1}

and that for the daughter nuclei is

{E_2}.

Then