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A counter rate metre is used to measure ...

A counter rate metre is used to measure the activity of a radioactive sample. At a certain instant, the count rate was recorded as 400 counters per minute. Five minutes later, the count recorded was 200 counts per min. Calculate the decay and half-period of the sample.

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To solve the problem, we need to calculate the decay constant (λ) and the half-life (t½) of the radioactive sample based on the given count rates. ### Step 1: Understand the given data - Initial count rate (N₀) = 400 counts/min - Final count rate (N₁) after 5 minutes = 200 counts/min - Time (t) = 5 minutes ### Step 2: Use the first-order decay formula ...
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