Read the following :

1.	Read the following :
Answer» The half -life period of a radioactive ELEMENT X is same as the mean-lifetime of another radioactive element Y. Initially both of them have the same number of atoms. Then Y will decay at a faster rate than X. The electron emitted in BETA radiation ORIGINATES from decay of a neutron ina nucleus The half-life of `.^(215) "At" ` is 100 ms. The time taken for the radioactivity ofa sample of `.^(215)"At" ` to decay to `1//16^(th)` of its initial value is 400 ms. The volume (V) and mass (m) of a nucleus are related as V `Alpha`m. Solution :(A)`{:(,(x)/((t_(1//2)=a)),(y)/((t_("avg")=a)),,),("Initial no. of nuclei",N_(0),N_(0),,),("Rateof decomposition"(-(dN)/(dt)),N_(0)e^(-lambda_(1)t),N_(0)e^(-lambda_(2)t),,),(,=N_(0).e^(-(ln2)/(a)t),=N_(0).e^(-(1)/(a)t),,),(,=N_(0)e^(-t//a).e^(-ln2)=(N_(0)e^(-t//a))/(2),,,):}` `:.y` DECOMPOSES at a faster rate than x (B) ln nucleus `._(0)n^(1)rarr._(1)P^(1) ._(+1)e^(0)` so during `beta` - decay radiation electron emitted originates from decay of neutronin a nucleus. (C) ln four half life times the activity left will be `=(A_(0))/(2^(4))=(1)/(16)A_(0)` (`A_(0)rarr` Initial activity) (D) radius of nuclei`=r_(0)(A)^(1//3)"" Ararr` mass number Volume of Nuclei ` alpha r^(3)propA` Mass of nuclei ` alphaA` `:.` Volume of nuclei ` prop` mass of nuclei

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