Which of the following `"is"//"are"` correct?

Options

A. 1 Fermi `= 10^(3) dps`
B. 1 curie `= 3.7 xx 10^(10) dps`
C. 1 rutherford `= 10^(6) dps`
D. 1 becquerel `= 1 dps`

Answer

To determine which of the given conversions related to radioactivity are correct, we need to analyze each unit and its relationship with disintegrations per second (dps). Here’s a step-by-step breakdown of the conversions mentioned in the video transcript:

### Step 1: Understand the Units
1. **Curie (Ci)**: Defined as 3.7 × 10^10 disintegrations per second (dps).
2. **Rutherford (Rd)**: Defined as 10^6 disintegrations per second (dps).
3. **Becquerel (Bq)**: Defined as 1 disintegration per second (dps).
4. **Fermi (fm)**: A unit of length equal to 10^-15 meters, which is not directly related to disintegrations per second.

### Step 2: Analyze Each Option
- **Curie**: 1 Ci = 3.7 × 10^10 dps (Correct)
- **Rutherford**: 1 Rd = 10^6 dps (Correct)
- **Becquerel**: 1 Bq = 1 dps (Correct)
- **Fermi**: This unit is a measure of length and does not relate to disintegrations per second (Incorrect).

### Step 3: Conclusion
Based on the definitions:
- The conversions for Curie, Rutherford, and Becquerel are correct.
- The conversion for Fermi is incorrect as it does not pertain to disintegrations per second.

### Final Answer
The correct conversions are:
- Curie: 1 Ci = 3.7 × 10^10 dps (Correct)
- Rutherford: 1 Rd = 10^6 dps (Correct)
- Becquerel: 1 Bq = 1 dps (Correct)
- Fermi: Not applicable to dps (Incorrect)