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The activity of a radioactive material decreases by {x} % in t

Question

Medium

Solving time: 3 mins

The activity of a radioactive material decreases by $x %$ in time $t_{0}$ , the activity of the sample in time $2 t_{0}$ will be

\frac{x}{100}

of the original value

(1 - \frac{x}{100})

of the original value

(\frac{x}{100})^{2}

of the original value

(1 - \frac{x}{100})^{2}

of the original value

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The activity of a radioactive material decreases by

x %

in time

t_{0}

, the activity of the sample in time

2 t_{0}

will be

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

A = A_{0} e^{- λ t} (1 - \frac{x}{100}) A_{0} = A_{0} e^{- λ t_{0}}

activity in time

2 t_{0}

will be

∴ A = A_{0} e^{- λ (2 t_{0})} \frac{A}{A _{0}} = (e^{- λ t_{0}})^{2} = (1 - \frac{x}{100})^{2}

Hence, option (D) is correct.

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Question Text	The activity of a radioactive material decreases by $x %$ in time $t_{0}$ , the activity of the sample in time $2 t_{0}$ will be
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	72

The activity of a radioactive material decreases by $x %$ in time $t_{0}$ , the activity of the sample in time $2 t_{0}$ will be

Text solutionVerified

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