if N=N0e−λt, where N represents the number of nucleus at any time (t), then.
Answers
N= Total number of atoms left undecayed in the sample at time t
dN= A small number of atoms that disintegrate in a small interval of time dt
Rate of disintegration of the element, R=−
dt
dN
=λNλ=disintegration constant
N
dN
=−λdt
Integrate both side:
∫
N
dN
=∫−λdt
log
e
N=−λt+C
C= constant of integration t=0
N=N
o
log
e
N=−λ×0+C
⇒C=log
e
N
o
log
e
N=λt+log
e
N
o
log
e
N
o
N
=−λt
N=N
0
e
−λt
(B).
(i). The basic nuclear process underlying this +β decay.
p→n+e
+
+v
The reaction is:
11
22
Na→β
+
+
10
22
Ne+v
(ii) It is an isobar same mass number but different atomic number.
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