Question

Calculate the wavelength of light that has its third minimum at an angle of 30.0º when falling on double slits separated by 3.00μm.

a) 1.25 μm
b) 2.50 μm
c) 0.75 μm
d) 1.50 μm

Answer 1

To calculate the wavelength of light that has its third minimum at an angle of 30.0º when falling on double slits separated by 3.00 μm, we can use the formula dsinθ = mλ. Plugging in the values and solving for λ, we find that the wavelength of light is 0.75 μm (option c).

Step-by-step explanation:

To calculate the wavelength of light that has its third minimum at an angle of 30.0º when falling on double slits, we can use the formula:

dsinθ = mλ

where d is the separation between the slits (given as 3.00 μm), θ is the angle at which the third minimum is observed (given as 30.0º), m is the order of the minimum (given as 3), and λ is the wavelength of light we want to calculate.

Plugging in the values, we have:

3.00 μm * sin30.0º = 3 * λ

We can solve for λ by rearranging the equation:

λ = (3.00 μm * sin30.0º) / 3

Calculating this, we find that the wavelength of light is 0.75 μm (option c).