(a) A green laser pointer emits light with a wavelength of 532 nm. What is the frequency of this light?

Verified step by step guidance

1. Identify the relationship between wavelength and frequency using the equation: \( c = \lambda \nu \), where \( c \) is the speed of light (approximately \( 3.00 \times 10^8 \) m/s), \( \lambda \) is the wavelength, and \( \nu \) is the frequency.
2. Convert the given wavelength from nanometers to meters. Since 1 nm = \( 1 \times 10^{-9} \) m, multiply 532 nm by \( 1 \times 10^{-9} \) to convert it to meters.
3. Rearrange the equation \( c = \lambda \nu \) to solve for frequency \( \nu \): \( \nu = \frac{c}{\lambda} \).
4. Substitute the values for \( c \) and \( \lambda \) into the equation: \( \nu = \frac{3.00 \times 10^8 \text{ m/s}}{\lambda} \), where \( \lambda \) is the wavelength in meters.
5. Calculate the frequency \( \nu \) using the substituted values to find the frequency of the green laser light.

Key Concepts

Wavelength and Frequency Relationship

The relationship between wavelength and frequency is described by the equation c = λν, where c is the speed of light (approximately 3.00 x 10^8 m/s), λ is the wavelength in meters, and ν is the frequency in hertz. This equation shows that as the wavelength increases, the frequency decreases, and vice versa. Understanding this relationship is crucial for converting between these two properties of light.

Units of Measurement

In physics and chemistry, it is essential to use consistent units when performing calculations. Wavelength is often measured in nanometers (nm), where 1 nm = 1 x 10^-9 meters. Frequency is measured in hertz (Hz), which is equivalent to cycles per second. Converting units correctly ensures accurate calculations and results.

Electromagnetic Spectrum

The electromagnetic spectrum encompasses all types of electromagnetic radiation, including visible light, which ranges from approximately 400 nm (violet) to 700 nm (red). A wavelength of 532 nm falls within the visible spectrum, specifically in the green region. Understanding where a wavelength lies in the spectrum helps in identifying its properties and applications.