Calculate the frequency for a helium-neon laser light

What is the frequency of a helium-neon laser light with a wavelength of 633 nm?

Choose the correct option:

A. 4.74 × 10¹⁴ Hz

B. 4.74 × 10¹⁵ Hz

C. 4.74 × 10¹⁶ Hz

D. 4.74 × 10¹⁷ Hz

Answer:

The frequency of helium-neon laser light with a wavelength of 633 nm is calculated using the speed of light formula. The result is approximately 4.74 × 10¹⁴ Hz, which is option A.

To calculate the frequency (f) in Hertz (Hz) for a helium-neon laser light with a wavelength (λ) of 633 nm (1 nm = 1 × 10⁻⁹ m), we can use the formula for the speed of light (c) which is c = fλ. The speed of light is approximately 3 × 10⁸ m/s. By rearranging the formula to solve for frequency, we get f = c / λ.

Plugging the values into the formula gives us:

f = (3 × 10⁸ m/s) / (633 × 10⁻⁹ m)

f = (3 × 10⁸) / (633 × 10⁻⁹) Hz

f = (3 × 10¹⁷) / (633) Hz

f ≈ 4.74 × 10¹⁴ Hz

Therefore, the frequency of the helium-neon laser light is approximately 4.74 × 10¹⁴ Hz, which corresponds to option A.