Jee Advanced
Atoms And Nuclei
JEE Advanced 2013 Paper 2 Offline
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 :
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| \(_1^1H\) | 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 kinetic energy (in keV) of the alpha particle, when the nucleus \(_{84}^{210}Po\) at rest undergoes alpha decay, is