Question

При наблюдении через дифракционную решетку красный край спектра виден на расстоянии 10,5 см от середины щели в экране. Расстояние от дифракционной решетки до экрана 150 см, период решетки 10 в степени -2 мм. Определите длину волны красного света.

Answer 1

D*tgф=k*L   tgф=10,5/150  d=10^-5 м  k=1
2*10^-5*10,5/150=L
L=7*10^-7 м

Answer 2

Calculation of the Wavelength of Red Light

To determine the wavelength of red light, we can use the information provided about the diffraction grating and the observed position of the red edge of the spectrum.

Given: - Distance from the diffraction grating to the screen (L) = 150 cm - Distance from the red edge of the spectrum to the center of the slit on the screen (x) = 10.5 cm - Period of the diffraction grating (d) = 10^-2 mm

We can use the formula for the angular position of the mth order maximum in a diffraction grating:

sin(θ) = m * λ / d where: - θ is the angle between the incident light and the normal to the grating surface - m is the order of the maximum - λ is the wavelength of light - d is the period of the grating

In this case, we are interested in the first-order maximum (m = 1). Rearranging the formula, we get:

λ = d * sin(θ) / m

To find the angle θ, we can use the small-angle approximation:

θ ≈ tan(θ) = x / L

Substituting the values into the formula, we have:

λ = (10^-2 mm) * sin(x / L) / 1

Converting the units to meters, we get:

λ = (10^-5 m) * sin(x / L)

Now we can calculate the wavelength of red light using the given values.

Let's substitute the values and calculate the result.