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The wavelength of sodium light in air is 589 nm. (a) Find its frequency in air. (b) Find its wavelength in water (refractive index = 1.33). (c) Find its frequency in water. (d) Find its speed in water.

The wavelength of sodium light in air is 589 nm. (a) Find its frequency in air. (b) Find its wavelength in water (refractive index = 1.33). (c) Find its frequency in water. (d) Find its speed in water.

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
9 years ago
Sol. Given that, for sodium light, λ = 589 nm = 589 * 10^-9 m a) f base a = 3 * 10^8/589 * 10^-9 = 5.09 * 10^14 sec^-1 [∵ f = c/λ] b) μ base a/ μ base w = λ base w/λ base a ⇒ 1/1.33 = λ base w/589 * 10^-9 ⇒ λ base w = 443 nm c) f base w = f base a = 5.09 * 10^14 sec^–1 [Frequency does not change] d) μ base a/ μ base w = v base w/v base a ⇒ v base w = μ base a v base a/μ base w = 3 * 10^8/1.33 = 2.25 * 10^8 m/sec.

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