Atoms and Nuclei PYQ — JEE Advanced 2013 · Shift 2 · Q56 with Solution

The mass of a nucleus $_Z^AX$ is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of masses m₁ and m₂ only if (m₁ + m₂) < M. Also two light nuclei of masses m₃ and m₄ can undergo complete fusion and form a heavy nucleus of mass M' only if (m₃ + m₄) > M'. The masses of some neutral atoms are given in the table below :

$_1^1H$	1.007825 u	$_1^2H$	2.014102 u
$_3^6Li$	6.015123 u	$_3^7Li$	7.016004 u
$_{64}^{152}Gd$	151.919803 u	$_{82}^{206}Pb$	205.974455 u
$_1^3H$	3.016050 u	$_2^4He$	4.002603 u
$_{30}^{70}Zn$	69.925325 u	$_{34}^{82}Se$	81.916709 u
$_{83}^{209}Bi$	208.980388 u	$_{84}^{210}Po$	209.982876 u

(1 u = 932 MeV/c²)

The correct statement is

A
the nucleus $_3^6Li$ can emit an alpha particle.
B
the nucleus $_{84}^{210}Po$ can emit a proton.
C
deuteron and alpha particle can undergo complete fusion.
D
the nuclei $_{30}^{70}Zn$ and $_{34}^{82}Se$ can undergo complete fusion.

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