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.