Question

Monochromatic light passes through a diffraction grating that has 9000 lines/cm. The second order lines occur at 70o. What is the wavelength of the light

Answer 1

To find the wavelength of the light passing through the diffraction grating, you can use the formula wavelength = (2 * d * sin(theta))/n. In this case, the grating constant is 9000 lines/cm, the angle of diffraction is 70 degrees, and the order of diffraction is 2.

Step-by-step explanation:

To find the wavelength of the light passing through the diffraction grating, we can use the formula:

wavelength = (2 * d * sin(theta))/n

Where d is the grating constant, theta is the angle of diffraction, and n is the order of the diffraction. In this case, the grating constant is 9000 lines/cm, the angle of diffraction is 70 degrees, and the order of diffraction is 2. Plugging in these values into the formula, we get:

wavelength = (2 * 1/9000 cm * sin(70 degrees))/2 = 6.17 * 10⁻⁵ cm