1. Identify what the ozone layer absorbs

   The ozone layer in the upper stratosphere protects life on Earth by absorbing harmful ultraviolet (UV) radiation from the Sun.

2. Relevant wavelength range of UV radiation

   Ultraviolet radiation lies approximately in the range: $200\text{ nm to }400\text{ nm}$

   The ozone layer especially absorbs the harmful UV-B and UV-C regions, roughly: $200\text{ nm to }315\text{ nm}$

3. Check each option

   • A: $200-315\,\text{nm}$
     This corresponds to the harmful ultraviolet region absorbed significantly by ozone. Correct.

   • B: $400-550\,\text{nm}$
     This is part of the visible region. Not the main radiation blocked by ozone. Incorrect.

   • C: $0.8-1.5\,\text{nm}$
     This is in the X-ray region, not the usual range referred to for ozone protection. Incorrect.

   • D: $600-750\,\text{nm}$
     This is also in the visible region. Incorrect.

4. Conclusion

   The ozone layer protects us from solar radiation in the wavelength range: $200-315\,\text{nm}$

Therefore, the correct option is A.