Venus can be as bright as apparent magnitude -4.7 when at a distance of about 1 AU. How many times fainter would Venus look from a distance of 6 pc? Assume Venus has the same illumination phase from your new vantage point. (Hints: Recall the inverse square law also, review the definition of apparent visual magnitudes. Note: 1 pc = 2.1 x 105 AU).

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**Problem Statement:**

Venus can be as bright as apparent magnitude -4.7 when at a distance of about 1 AU. How many times fainter would Venus look from a distance of 6 pc? Assume Venus has the same illumination phase from your new vantage point. 

**Hints:**
- Recall the inverse square law.
- Also, review the definition of apparent visual magnitudes.

**Note:**
1 pc = 2.1 x 10^5 AU.

**Input Box:**
- [Enter a number] times fainter.
Transcribed Image Text:**Problem Statement:** Venus can be as bright as apparent magnitude -4.7 when at a distance of about 1 AU. How many times fainter would Venus look from a distance of 6 pc? Assume Venus has the same illumination phase from your new vantage point. **Hints:** - Recall the inverse square law. - Also, review the definition of apparent visual magnitudes. **Note:** 1 pc = 2.1 x 10^5 AU. **Input Box:** - [Enter a number] times fainter.
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