The figure illustrates a basic optical fiber consisting of a plastic core (\(n_1 = 1.60\)) surrounded by a plastic sheath (\(n_2 = 1.50\)). A light ray enters one end of the fiber at an angle \(\theta\). This ray is meant to undergo total internal reflection at point A, where it meets the core-sheath boundary, ensuring no light is lost through that boundary. The question posed is: What is the maximum value of \(\theta\) that permits total internal reflection at point A?Below the question, there is an input field labeled "Number" for entering the calculated value of \(\theta\), followed by a unit selection dropdown menu. Lastly, a note mentions that the absolute tolerance for the answer is \(\pm 0.1\).**Diagram Explanation:**The diagram shows a cylindrical optical fiber. The core (light blue) has a refractive index of \(n_1 = 1.60\), while the yellow outer sheath has a refractive index of \(n_2 = 1.50\). A red line represents the path of the light ray entering the fiber at an angle \(\theta\). At point A, inside the core, the ray reflects off the boundary into the core, illustrating the total internal reflection process.

Given: The refractive index of plastic core n1 = 1.60. The refractive index of plastic core n2 =…

The figure depicts a simplistic optical fiber: a plastic core (n1 = 1.60) is surrounded by a plastic sheath (n2 = 1.50). A light ray is incident on one end of the fiber at angle 0. The rays is to undergo total internal reflection at point A, where it encounters the core- sheath boundary. (Thus there is no loss of light through that boundary.) What is the maximum value of e that allows total internal reflection at A? Number Units the absolute tolerance is +/-0.1

The figure depicts a simplistic optical fiber: a plastic core (n1 = 1.60) is surrounded by a plastic sheath (n2 = 1.50). A light ray is incident on one end of the fiber at angle 0. The rays is to undergo total internal reflection at point A, where it encounters the core- sheath boundary. (Thus there is no loss of light through that boundary.) What is the maximum value of e that allows total internal reflection at A? Number Units the absolute tolerance is +/-0.1