Question

What is the distance between the slits of a dif/tion grating that produces a first-order maximum for the first Balmer line at an angle of 20.0º?

a) ( d = λ/ sin(θ) )
b) ( d = λ /2 sin(θ) )
c) ( d = 2 λ/ sin(θ) )
d) ( d = 2 λ /2 sin(θ) )

Answer 1

The distance between the slits of a diffraction grating can be calculated using d = λ / sin(θ), where d is the distance between the slits, λ is the wavelength of the light, and θ is the angle of diffraction. In this case, the correct option is a) (d = λ / sin(θ)).

Step-by-step explanation:

The distance between the slits of a diffraction grating that produces a first-order maximum for the first Balmer line can be calculated using the formula:

d = λ / sin(θ)

Where:

• d is the distance between the slits
• λ is the wavelength of the light
• θ is the angle of diffraction

In this case, the formula becomes:

d = λ / sin(20.0°)

Therefore, the correct option is a) ( d = λ / sin(θ) ).