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Standard XII

Mathematics

Solving Linear Differential Equations of First Order

226 Ra disint...

Question

$^{226} R a$ disintegrates at such a rate that after $3160$ yrs only one-fourth of its original amount remains. Half-life of $^{226} R a$ will be:

790

years

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3160

years

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1580

years

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6230

years

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Solution

The correct option is C $1580$ years
After 1 half life, amount becomes half and after two half life amount becomes one-fourth.
Therefore, $2 t_{h a l f} = 3160$
$= t_{h a l f} = 1580 y r s$

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226Ra disintegrates at such a rate that after 3160 yrs only one-fourth of its original amount remains. Half-life of 226Ra will be:

The correct option is C 1580 yearsAfter 1 half life, amount becomes half and after two half life amount becomes one-fourth. Therefore, 2thalf=3160 =thalf=1580 yrs

$^{226} R a$ disintegrates at such a rate that after $3160$ yrs only one-fourth of its original amount remains. Half-life of $^{226} R a$ will be:

The correct option is C $1580$ years
After 1 half life, amount becomes half and after two half life amount becomes one-fourth.
Therefore, $2 t_{h a l f} = 3160$
$= t_{h a l f} = 1580 y r s$