37 Rutherford equals

Options

A. 1 milli bacquerel
B. 1 milli curie
C. 1 micro bacquerel
D. 1 micro curie

Answer

To solve the question "37 Rutherford equals," we need to understand the relationship between Rutherford, Curie, and the unit of activity in disintegrations per second (dps).

### Step-by-Step Solution:

1. **Understand the Definition of Rutherford**:
- 1 Rutherford (Rd) is defined as 1 disintegration per second (dps). Therefore, 37 Rutherford means 37 disintegrations per second.

2. **Convert Rutherford to Disintegrations per Second**:
- Since 1 Rutherford = 1 dps, then:
\[ 37 \text{ Rutherford} = 37 \text{ dps} \]

3. **Understand the Definition of Curie**:
- 1 Curie (Ci) is defined as 3.7 x 10^10 disintegrations per second (dps).

4. **Convert 37 Rutherford to Curie**:
- To find out how many Curie are in 37 Rutherford, we need to convert 37 dps to Curie:
\[ \text{Number of Curie} = \frac{37 \text{ dps}}{3.7 \times 10^{10} \text{ dps/Ci}} \]

5. **Perform the Calculation**:
- Calculate the fraction:
\[ \text{Number of Curie} = \frac{37}{3.7 \times 10^{10}} = \frac{37}{3.7} \times 10^{-10} = 10 \times 10^{-10} = 1 \times 10^{-9} \text{ Ci} \]

6. **Convert to Millicurie**:
- Since 1 millicurie (mCi) is equal to 10^-3 Ci, we can convert:
\[ 1 \times 10^{-9} \text{ Ci} = 0.001 \times 10^{-6} \text{ Ci} = 0.001 \text{ mCi} = 1 \text{ mCi} \]

7. **Final Result**:
- Therefore, 37 Rutherford equals 1 millicurie (mCi).

### Conclusion:
Thus, the answer to the question "37 Rutherford equals" is:
\[ \text{37 Rutherford} = 1 \text{ millicurie (mCi)} \]