Math, asked by harikavarmapokala0, 2 months ago

It is found that 0.5 percent of radium dissappears in 12 years. What percentage will dissappears in 1000 years? What is the half life of radium?

Answers

Answered by honey1165
0

Answer:

Let "x" be the quantity of radium at time "t".

Given,  dtdx∝x

⇒dtdx=kx

xdx=kdt

Integrating on both sides, we get,

logx=kt+logc

logcx=kt

∴x=cekt

When t=0,x=A0

A0=cek×0

∴c=A0

When t=50,x=0.95A0

0.95A0=A0e50k

∴e50k=0.95

When t=100

x=A0e100k

=A0e50ke50k

=A0(0.95)(0.95)

=0.9025A

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