Question

What is the wavelength range of visible light? (A) \(10 \mathrm{~A}\) to \(100 \mathrm{~A}\) (B) \(4000 \mathrm{~A}\) to \(7000 \mathrm{~A}\) (C) \(8000 \AA\) to \(10000 \AA\) (D) \(10000 \AA\) to \(15000 \AA\)

Short answer

The wavelength range of visible light is given by Option B: \(4000 \mathrm{~A}\) to \(7000 \mathrm{~A}\) (400 nm to 700 nm).

Step-by-step solution

Recall the wavelength range of visible light

The wavelength range of visible light is approximately 400 nm (4,000 Å) to 700 nm (7,000 Å). Now, let's analyze each option:

Option A

\(10 \mathrm{~A}\) to \(100 \mathrm{~A}\) converts to 1 nm to 10 nm. This range does not match the range of visible light.

Option B

\(4000 \mathrm{~A}\) to \(7000 \mathrm{~A}\) converts to 400 nm to 700 nm. This range matches the range of visible light.

Option C

\(8,000 \AA\) to \(10,000 \AA\) converts to 800 nm to 1000 nm. This range is beyond the range of visible light.

Option D

\(10,000 \AA\) to \(15,000 \AA\) converts to 1000 nm to 1500 nm. This range is also beyond the range of visible light. Based on the comparisons above, we can see that only one of the options matches the well-established range of visible light wavelengths.

Conclusion

The wavelength range of visible light is given by Option B: \(4000 \mathrm{~A}\) to \(7000 \mathrm{~A}\) (400 nm to 700 nm).