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Question: Answered & Verified by Expert
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, $\mathrm{n}_{\mathrm{w}}=\frac{4}{3}$.
PhysicsRay OpticsKCETKCET 2010
Options:
  • 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 $376 \mathrm{~nm}$
Solution:
2077 Upvotes Verified Answer
The correct answer is: Blue of wavelength $376 \mathrm{~nm}$
When light travels from rarer to denser medium its wavelength reduces. Wavelength in water $=\frac{\lambda_{\mathrm{a}}}{\mu_{\mathrm{w}}}$
$$
=\frac{500}{(4 / 3)}=375 \mathrm{~nm} \approx 376 \mathrm{~nm} \text { (Blue colour) }
$$

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