A 6000 Å `H_(beta)` line emitted by hydrogen in a star is observed to be red shifted by 10 Å. Find the speed with which star is receding away from the earth.

Explanation

To solve the problem of finding the speed with which a star is receding away from the Earth based on the redshift of the H-beta line, we can follow these steps:

### Step 1: Identify the Given Values
- The emitted wavelength of the H-beta line, \( \lambda = 6000 \, \text{Å} \)
- The observed redshift, \( \Delta \lambda = 10 \, \text{Å} \)

### Step 2: Calculate the Observed Wavelength
The observed wavelength \( \lambda' \) can be calculated as:
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