The wavelength of red light from a helium-neon laser is 633 nm in air and 479 nm In a medium of index of refraction n. The speed v and the frequency fof light in the given medium are: (Given: c = 3 x 10°8 m/s, and 1 nm = 10^-9 m) O v= 2.27 x 10°8 m/'s;f- 6.26 x 10*14 Hz O v =2.64 x 10°8 m/s; f= 5.39 x 10^14 Hz O v-245 x 10°8 m/s; f=5.80 x 10*14 Hz O v =227 x 10°8 m/s:f= 4.74x10 14 Hz O v=2.64 * 10°8 m/s; f= 4.74 x 10*14 Hz O v=2.45 x 10*8 m/s;f=4.74 x 10*14 Hz

Question
**Problem Statement:**

The wavelength of red light from a helium-neon laser is 633 nm in air and 479 nm in a medium of index of refraction n. The speed \(v\) and the frequency \(f\) of light in the given medium are: 
(Given: \(c = 3 \times 10^8 \text{ m/s}\), and \(1 \text{ nm} = 10^{-9} \text{ m}\))

**Choices:**

1. \( v = 2.27 \times 10^8 \text{ m/s}; \; f = 6.26 \times 10^{14} \text{ Hz} \)
2. \( v = 2.64 \times 10^8 \text{ m/s}; \; f = 5.39 \times 10^{14} \text{ Hz} \)
3. \( v = 2.45 \times 10^8 \text{ m/s}; \; f = 5.80 \times 10^{14} \text{ Hz} \)
4. \( v = 2.27 \times 10^8 \text{ m/s}; \; f = 4.74 \times 10^{14} \text{ Hz} \)
5. \( v = 2.64 \times 10^8 \text{ m/s}; \; f = 4.74 \times 10^{14} \text{ Hz} \)
6. \( v = 2.45 \times 10^8 \text{ m/s}; \; f = 4.74 \times 10^{14} \text{ Hz} \)
Transcribed Image Text:**Problem Statement:** The wavelength of red light from a helium-neon laser is 633 nm in air and 479 nm in a medium of index of refraction n. The speed \(v\) and the frequency \(f\) of light in the given medium are: (Given: \(c = 3 \times 10^8 \text{ m/s}\), and \(1 \text{ nm} = 10^{-9} \text{ m}\)) **Choices:** 1. \( v = 2.27 \times 10^8 \text{ m/s}; \; f = 6.26 \times 10^{14} \text{ Hz} \) 2. \( v = 2.64 \times 10^8 \text{ m/s}; \; f = 5.39 \times 10^{14} \text{ Hz} \) 3. \( v = 2.45 \times 10^8 \text{ m/s}; \; f = 5.80 \times 10^{14} \text{ Hz} \) 4. \( v = 2.27 \times 10^8 \text{ m/s}; \; f = 4.74 \times 10^{14} \text{ Hz} \) 5. \( v = 2.64 \times 10^8 \text{ m/s}; \; f = 4.74 \times 10^{14} \text{ Hz} \) 6. \( v = 2.45 \times 10^8 \text{ m/s}; \; f = 4.74 \times 10^{14} \text{ Hz} \)
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