Activity of a radioactive sample decreases to (1/3)rd of its original value in 3 days. Then, in 9 days its activity will become

(1/27) of the original value

(1/9) of the original value

(1/18) of the original value

(1/3) of the original value

Solution

(1/27) of the original value

R =R_o $e^{- λt}$

⇒ $\frac{1}{3} =$ e^-^{λ × 3}

= e^-3λ ...(i)

Again

$\frac{R'}{R_{o}}$ = e^{-λ × 9}

= e^-9λ

=( e^3λ )³

= ${(\frac{1}{3})}^{3}$

= $\frac{1}{27}$

$\frac{R'}{R_{o}} = \frac{R_{o}}{27}$

Hence, in 9 days activity will become $(\frac{1}{27})$ of the original value.

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Nuclei

Activity of a radioactive sample decreases to (1/3)rd of its original value in 3 days. Then, in 9 days its activity will become

(1/27) of the original value

(1/9) of the original value

(1/18) of the original value

(1/3) of the original value

Some More Questions From Nuclei Chapter

If M₀ is the mass of an oxygen isotope ₈O¹⁷ , Mp and M_N are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is

In gamma-ray emission from a nucleus

When ₃Li⁷ nuclei are bombarded by protons, and the resultant nuclei are ₄Be⁸ , the emitted particles will be

The ‘rad’ is the correct unit used to report the measurement of

A photocell is illuminated by a small bright source placed 1 m away. When the same source of light is placed 1 /2 m away, the number of electrons emitted by photocathode would

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For Daily Free Study Material Join wiredfaculty

Nuclei

Activity of a radioactive sample decreases to (1/3)rd of its original value in 3 days. Then, in 9 days its activity will become (1/27) of the original value (1/9) of the original value (1/18) of the original value (1/3) of the original value

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Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Activity of a radioactive sample decreases to (1/3)rd of its original value in 3 days. Then, in 9 days its activity will become

(1/27) of the original value

(1/9) of the original value

(1/18) of the original value

(1/3) of the original value

If M₀ is the mass of an oxygen isotope ₈O¹⁷ , Mp and M_N are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is

When ₃Li⁷ nuclei are bombarded by protons, and the resultant nuclei are ₄Be⁸ , the emitted particles will be