What is the critical angle for light traveling inside a thin glass rod that is submerged in oil?

To answer this question, we first need to know the refractive indices of the two materials involved - in this case, glass and oil.

The critical angle (θc) can be calculated using the formula:

θc = arcsin(n2/n1)

where n1 is the refractive index of the first medium (in this case, glass) and n2 is the refractive index of the second medium (in this case, oil).

Let's assume the refractive index of glass is about 1.5 and the refractive index of oil is about 1.3 (these are typical values, but they can vary).

Plugging these values into the formula, we get:

θc = arcsin(1.3/1.5)

This will give you the critical angle in radians. To convert to degrees, multiply by 180/π.

Without a calculator, I can't give you the exact value, but this is the process you would follow to find the critical angle.