How many disintegrations per second make up 1 curie ?

Options

A. `3.7xx10^(10)`
B. `3.7xx10^(13)`
C. `3.7xx10^7`
D. none of these

Answer

To determine how many disintegrations per second make up 1 curie, we can follow these steps:

### Step 1: Understand the definition of a curie
A curie (Ci) is a unit of radioactivity that is defined based on the number of disintegrations occurring in a radioactive sample. Specifically, 1 curie is defined as the amount of radioactive material that undergoes 37 billion disintegrations per second.

### Step 2: Convert the definition into scientific notation
The number of disintegrations per second that make up 1 curie can be expressed in scientific notation. Since 1 curie is equal to 37 billion, we can write this as:
\[ 1 \text{ curie} = 3.7 \times 10^{10} \text{ disintegrations per second (DPS)} \]

### Step 3: Identify the correct option
From the options provided:
- 3.7 x 10^10
- 3.7 x 10^13
- 3.7 x 10^7

The correct answer is clearly:
\[ \text{1 curie} = 3.7 \times 10^{10} \text{ disintegrations per second} \]

### Conclusion
Thus, the answer to the question "How many disintegrations per second make up 1 curie?" is:
\[ \text{1 curie} = 3.7 \times 10^{10} \text{ disintegrations per second} \]