KCET · Physics · Ray Optics
A boat has green light of wavelength \(\lambda=500 \mathrm{~nm}\) on the mast. What wavelength would be measured and what colour would be observed for this light as seen by a diver submerged in water by the side of the boat?
Given, \(\mathrm{n}_{\mathrm{w}}=\frac{4}{3}\).
- A Green of wavelength \(376 \mathrm{~nm}\)
- B Red of wavelength \(665 \mathrm{~nm}\)
- C Green of wavelength \(500 \mathrm{~nm}\)
- D Blue of wavelength \(376 \mathrm{~nm}\)
Answer & Solution
Correct Answer
(D) Blue of wavelength \(376 \mathrm{~nm}\)
Step-by-step Solution
Detailed explanation
When light travels from rarer to denser medium its wavelength reduces. Wavelength in water \(=\frac{\lambda_{\mathrm{a}}}{\mu_{\mathrm{w}}}\)
\(
=\frac{500}{(4 / 3)}=375 \mathrm{~nm} \approx 376 \mathrm{~nm} \text { (Blue colour) }
\)
\(
=\frac{500}{(4 / 3)}=375 \mathrm{~nm} \approx 376 \mathrm{~nm} \text { (Blue colour) }
\)
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