The disintegration rate of a certain radioactive sample at any instant is `4750` disintegrations per minute. Five minutes later the rate becomes `2700` per minute. Calculate
(a) decay constant and (b) half-life of the sample

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the given data
We have:
- Initial disintegration rate (R₀) = 4750 disintegrations per minute
- Disintegration rate after 5 minutes (R) = 2700 disintegrations per minute
- Time (t) = 5 minutes

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