light with a wavelength of 694 nmnm passes through a slit 7.90 mm wide and falls on a screen 1.95 mm away.

Question

stillman · Accepted Answer

Using the given values, we can calculate the angle of diffraction (θ) and the distance between adjacent bright fringes (y).

How to analyze the diffraction of light passing through a narrow slit?

To analyze the diffraction of light passing through a narrow slit, we can use the concept of the single-slit diffraction equation:

sin(θ) = (m * λ) / w

Where:

- θ is the angle of diffraction

- m is the order of the bright fringe

- λ is the wavelength of light

- w is the width of the slit

Given:

- Wavelength (λ) = 694 nm = 694 × 10^(-9) m

- Slit width (w) = 7.90 μm = 7.90 × 10^(-6) m

- Distance to the screen (D) = 1.95 mm = 1.95 × 10^(-3) m

First, let's calculate the angle of diffraction (θ):

θ = sin^(-1)((m * λ) / w)

Now, let's calculate the distance between adjacent bright fringes (y):

y = (m * λ * D) / w

Using the given values, we can calculate the angle of diffraction (θ) and the distance between adjacent bright fringes (y).

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light with a wavelength of 694 nmnm passes through a slit 7.90 μmμm wide and falls on a screen 1.95 mm away.