How to Calculate the Correct Thickness of a Glass Plate for Optimal Light Transmission

Question:

Given that the refractive index of a glass plate is 3/2 and the refractive index of water is 4/3, what is the correct thickness of the glass plate that will allow the same number of wavelengths as an 18 cm long column of water?

Answer:

The correct thickness of the glass plate that will permit the same number of wavelengths as an 18 cm long column of water is 16 cm.

When dealing with the transmission of light through different materials, the refractive index plays a crucial role in determining how light waves behave. In this scenario, we are comparing the refractive indices of a glass plate and water to find the appropriate thickness of the glass plate.

The refractive index of the glass plate is given as 3/2, while the refractive index of water is 4/3. To calculate the correct thickness of the glass plate, we need to consider the ratio of their refractive indices.

By applying the formula that relates refractive indices to the thickness of materials, we can find the thickness of the glass plate in relation to the length of the water column. After performing the necessary calculations, we arrive at the conclusion that the correct thickness of the glass plate is 16 cm, ensuring optimal light transmission and the same number of wavelengths as the water column.