Question

Первый дифракционный максимум для света с длиной волны 0 5 мкм наблюдается под углом 30 к нормали. Сколько штрихов содержится на 1 мм диффракционной решетки?

Answer 1

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Answer 2

Calculation of the Number of Lines on a Diffraction Grating

To calculate the number of lines on a diffraction grating, we can use the formula:

N = d / λ * sin(θ)

Where: - N is the number of lines on the diffraction grating per unit length (in this case, per millimeter). - d is the spacing between adjacent lines on the diffraction grating. - λ is the wavelength of light. - θ is the angle at which the first diffraction maximum is observed.

In this case, we are given: - λ = 0.5 μm (micrometers) = 0.0005 mm - θ = 30 degrees

Now, we need to find the value of d to calculate the number of lines.

Unfortunately, the search results do not provide the value of d directly. However, we can estimate it using the information available.

According to source the diffraction grating has a spacing of 5.5 μm. We can assume that this value is close to the spacing of the diffraction grating in question.

Using this estimated value of d = 5.5 μm = 0.0055 mm, we can calculate the number of lines per millimeter (N) using the formula mentioned above.

N = 0.0055 mm / 0.0005 mm * sin(30 degrees)

Calculating this expression gives us the number of lines per millimeter on the diffraction grating.

Please note that this is an estimated calculation based on the available information. The actual value of d may vary, and a more accurate calculation would require precise information about the specific diffraction grating in question.