Fiber optics are an important part of our modern internet. In these fibers, two different glasses are used to confine the light by total internal reflection at the critical angle for the interface between the core (ncore =1.497) and the cladding (ncladding =1.421)

Complete Question

The complete question is shown on the first uploaded image

a

b

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Explanation:

 From the question we are told that

          The refractive index of the core is  

         The refractive index of the cladding  is  

Generally according to Snell's law

Where is the largest angle a largest angle a ray will make with respect to the interface of the fiber and experience total internal reflection

Given from the question the the largest angle is  5°

Generally the refraction index of the cladding is mathematically represented as

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2