A laser pointer used in a lecture hall emits light at 650 nm. What is the frequency of this radiation?

검증된 단계별 안내

Identify the given information: the wavelength of the light emitted by the laser pointer is 650 nm.

Convert the wavelength from nanometers to meters for consistency in SI units. Recall that 1 nm = 1 x 10^-9 meters.

Use the speed of light 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 Hz.

Rearrange the equation to solve for frequency: ν = c / λ.

Substitute the values for c and λ into the equation to calculate the frequency of the radiation.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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 wavelength and frequency.

Units of Measurement

In this context, wavelength is given in nanometers (nm), which is a common unit for measuring light wavelengths, where 1 nm = 1 x 10^-9 meters. Frequency is measured in hertz (Hz), which represents cycles per second. Converting units correctly is essential for accurate calculations in physics and chemistry.

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 laser pointer emitting light at 650 nm falls within the visible spectrum, specifically in the red region. Understanding where this wavelength fits in the spectrum helps contextualize its properties and applications.