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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Light Waves

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Light Waves

In air, sodium light has a wavelength of 589 nm . Determine its...

In air, sodium light has a wavelength of 589 nm589 \text{ nm}. Determine its frequency in water (refractive index =1.33= 1.33).

Options

  1. A6.77×1014 Hz6.77 \times 10^{14} \text{ Hz}
  2. B5.89×1014 Hz5.89 \times 10^{14} \text{ Hz}
  3. C5.09×1014 Hz5.09 \times 10^{14} \text{ Hz}
  4. D3.83×1014 Hz3.83 \times 10^{14} \text{ Hz}

Correct answer

C. 5.09×1014 Hz5.09 \times 10^{14} \text{ Hz}

Step-by-step solution

The frequency of light is a characteristic of the source and remains constant when it travels from one medium to another.

Therefore, the frequency of sodium light in water is the same as its frequency in air.

Using the relation c=νλc = \nu \lambda, where cc is the speed of light in vacuum and λ\lambda is the wavelength in air:

ν=cλ\nu = \dfrac{c}{\lambda}

ν=3×108589×10−9\nu = \dfrac{3 \times 10^{8}}{589 \times 10^{-9}}

ν≈5.09×1014 Hz\nu \approx 5.09 \times 10^{14} \text{ Hz}
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