Sure, to solve this problem, we need to use the formula for the angular width of a fringe in a double slit experiment, which is given by:

θ = λ / d

where:
θ is the angular width of the fringe,
λ is the wavelength of the light, and
d is the spacing between the two slits.

We are given that θ = 0.1° and λ = 600 nm = 600 x 10^-9 m. We need to find d.

First, we need to convert the angular width from degrees to radians, because the formula uses radians. There are π radians in 180°, so:

θ = 0.1° x π / 180 = 0.00174533 radians

Now we can rearrange the formula to solve for d:

d = λ / θ

Substituting the given values:

d = (600 x 10^-9 m) / 0.00174533 rad = 3.437 x 10^-4 m = 0.3437 mm

So, the spacing between the two slits is approximately 0.3437 mm.

Question

Sure, to solve this problem, we need to use the formula for the angular width of a fringe in a double slit experiment, which is given by:

θ = λ / d

where:
θ is the angular width of the fringe,
λ is the wavelength of the light, and
d is the spacing between the two slits.

We are given that θ = 0.1° and λ = 600 nm = 600 x 10^-9 m. We need to find d.

First, we need to convert the angular width from degrees to radians, because the formula uses radians. There are π radians in 180°, so:

θ = 0.1° x π / 180 = 0.00174533 radians

Now we can rearrange the formula to solve for d:

d = λ / θ

Substituting the given values:

d = (600 x 10^-9 m) / 0.00174533 rad = 3.437 x 10^-4 m = 0.3437 mm

So, the spacing between the two slits is approximately 0.3437 mm.

Knowee AI · Accepted Answer