A laser pulse with wavelength 532 nm contains 1.85 mJ of energy. How many photons are in the laser pulse?

검증된 단계별 안내

Convert the wavelength from nanometers to meters by using the conversion factor: 1 nm = 1 x 10^{-9} m.

Use the formula for energy of a photon: E = \(\frac{hc}{\lambda}\), where h is Planck's constant (6.626 x 10^{-34} J\(\cdot\) s), c is the speed of light (3.00 x 10^8 m/s), and \(\lambda\) is the wavelength in meters.

Calculate the energy of a single photon using the converted wavelength.

Convert the total energy of the laser pulse from millijoules to joules by using the conversion factor: 1 mJ = 1 x 10^{-3} J.

Divide the total energy of the laser pulse by the energy of a single photon to find the number of photons in the laser pulse.

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주요 개념

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

Photon Energy

The energy of a single photon can be calculated using the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 x 10^-34 J·s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength in meters. This relationship shows that shorter wavelengths correspond to higher energy photons.

Wavelength and Frequency

Wavelength (λ) and frequency (ν) are inversely related through the equation c = λν, where c is the speed of light. This means that as the wavelength of light decreases, its frequency increases, which in turn affects the energy of the photons. Understanding this relationship is crucial for calculating the number of photons in a given energy pulse.

Calculating Number of Photons

To find the number of photons in a laser pulse, divide the total energy of the pulse by the energy of a single photon. This is expressed mathematically as N = E_total / E_photon, where N is the number of photons, E_total is the total energy of the pulse, and E_photon is the energy of one photon calculated from its wavelength.