Question

найти наибольший порядок спектра красной линии лития с длинной волны 671 нм если период дифракционной решетки 0.01мм

Answer 1

Для решения этой задачи воспользуемся формулой для диф решетки
d*sin ф = л*k
k= d*sin ф/л
из формулы видно что максимальное число k получается если Ф=90 градусов
k = 1*10^-5/0,671*10^-6=14,9
всего можно наблюдать 14 полных спектров последний наблюдается частично

Answer 2

Finding the Order of the Red Line Spectrum of Lithium

To find the order of the red line spectrum of lithium with a wavelength of 671 nm and a diffraction grating period of 0.01 mm, we can use the formula:

Order = (m * λ) / d

Where: - Order is the order of the spectrum - m is the order of the maximum or minimum - λ is the wavelength of the light - d is the period of the diffraction grating

In this case, we are looking for the order of the red line spectrum of lithium, so we can substitute the given values into the formula:

Order = (m * 671 nm) / 0.01 mm

To find the largest order, we need to determine the maximum value of m that gives a valid order. Let's calculate it:

Order = (m * 671 nm) / 0.01 mm

Converting the units to be consistent:

Order = (m * 671 * 10^-9 m) / (0.01 * 10^-3 m)

Simplifying:

Order = (m * 671 * 10^-9) / (0.01 * 10^-3)

Order = (m * 671) / 0.01

Now, we can find the largest order by substituting different values of m and calculating the corresponding order. We will start with m = 1 and continue until we find an order that exceeds the maximum value of m.

Let's calculate the orders for different values of m:

- For m = 1: Order = (1 * 671) / 0.01 = 67100

- For m = 2: Order = (2 * 671) / 0.01 = 134200

- For m = 3: Order = (3 * 671) / 0.01 = 201300

- For m = 4: Order = (4 * 671) / 0.01 = 268400

- For m = 5: Order = (5 * 671) / 0.01 = 335500

Based on these calculations, we can see that the largest order for the red line spectrum of lithium with a wavelength of 671 nm and a diffraction grating period of 0.01 mm is 335500.

Please note that the calculations provided are based on the given values and the formula for determining the order of a diffraction grating.