The atomic mass number of Radium is `A=226`, its half life is `1622` years. What is the activity of `1g` Radium ?

Options

A. `3.6xx10^(10)Bq`
B. `0.6xx10^(10)Bq`
C. `1.6xx10^(10)Bq`
D. `2.6xx10^(10)Bq`

Explanation

To find the activity of 1 gram of Radium (Ra) with an atomic mass number \( A = 226 \) and a half-life of \( 1622 \) years, we will follow these steps:

### Step 1: Calculate the decay constant (\( \lambda \))
The decay constant \( \lambda \) is related to the half-life (\( t_{1/2} \)) by the formula:
\[ \lambda = \frac{0.693}{t_{1/2}} \]
First, we need to convert the half-life from years to seconds.
...