Question

The binding energies of the atom of element A and B are $E_a$ and $E_b$ respectively. Three atoms of the element B fuse to give one atom of element A. This fusion process is accompanied by the release of energy $e$. Then $E_a,E_b$ are related to each other as:

• A. $E_a+e=3E_b$
• B. $E_a=3E_b$
• C. $E_a-e=3E_b$
• D. $E_a+3E_b+e=0$

Answer 1

The correct option is A $E_a+e=3E_b$

Binding energy of $3$ $B$ elements will be $3E_b$
So, by energy conservation, binding energy of three $B$ elements is equal to the sum of $A$ element's binding energy and the released energy.
So, equation is
$E_a+e=3E_b$
So, correct choice is option A.