Discussion Forum



1)

The mass of a nucleus  $^{A}_{Z}X$ is less than the sum of the mass 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:

1052021737_table.JPG

 

The correct statement is


A) The nucleus $^{6}_{3}Li$ can emit an alpha particle

B) The nucleus $^{210}_{84}Po$ can emit a proton

C) Deuteron and alpha particle can undergo complete fusion

D) the nuclei $^{70}_{30}Zn$ and $^{82}_{34}Se$ can undergo complete fusion

Answer:

Option C

Explanation:

(a)  $_{3}Li^{7}\rightarrow_{2}He^{4}+_{1}H^{3}$

 $\triangle m= [M_{Li}-M_{He}-M_{H^{3}}]$

 =[6.01513-4.002603-3.016050]

  = -1.003523 u

 $\triangle $ m is negative so reaction is not possible

(b)   $_{84}Po^{210}\rightarrow_{83}Bi^{209}+_{1}P^{1}$

 $\triangle$  m is negative so  reaction is not possible

(c)  $_{1}H^{2}\rightarrow_{2}He^{4}+_{3}Li^{6}$

   $\triangle $ m is positive  so reaction is possible

(d)    $_{30}Zn^{70}+_{34}Se^{82}\rightarrow_{64}Gd^{152}$

$\triangle $ m is positive  so reaction is not possible