The activity of a sample reduces from A0 to A0-3 in one hour- The activity after 3 hours more will be

The correct option is A A_03√(3) The correct option is AGiven A_0 is the sampleSince #160;The activities are reducing per hour.Thus, After 3hour it ...

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Standard XII

Mathematics

Fundamental Laws of Logarithms

The activity ...

Question

The activity of a sample reduces from $A_{0}$ to $\frac{A_{0}}{\sqrt{3}}$ in one hour. The activity after $3$ hours more will be

\frac{A_{0}}{3 \sqrt{3}}

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\frac{A_{0}}{9}

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\frac{A_{0}}{9 \sqrt{3}}

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\frac{A_{0}}{27}

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Solution

The correct option is A $\frac{A_{0}}{3 \sqrt{3}}$
The correct option is A

Given $A_{0}$ is the sample

Since The activities are reducing per hour.

Thus, After 3hour it reduces $\frac{A_{0}}{\sqrt{3}} \times \frac{1}{3}$

$= \frac{A_{0}}{3 \sqrt{3}}$

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The activity of a sample reduces from A0 to A0√3 in one hour. The activity after 3 hours more will be

The correct option is A A03√3The correct option is AGiven A0 is the sampleSince The activities are reducing per hour.Thus, After 3hour it reduces A0√3×13=A03√3

The activity of a sample reduces from $A_{0}$ to $\frac{A_{0}}{\sqrt{3}}$ in one hour. The activity after $3$ hours more will be

The correct option is A $\frac{A_{0}}{3 \sqrt{3}}$
The correct option is A

Given $A_{0}$ is the sample

Since The activities are reducing per hour.

Thus, After 3hour it reduces $\frac{A_{0}}{\sqrt{3}} \times \frac{1}{3}$

$= \frac{A_{0}}{3 \sqrt{3}}$