Answer:
2.20×10^8 m/s
Step-by-step explanation:
The speed of light in a material is related to its refractive index (n) and the speed of light in a vacuum (c) by the following formula:
v= n/c
Where:
v is the speed of light in the material.
c is the speed of light in a vacuum (approximately 3×10^8m/s)
n is the refractive index of the material.
The refractive index (n) is related to the critical angle (θ) as follows:
n= 1/sin(θ)
Given that the critical angle (θ) is 34.5°, we can calculate the refractive index (n):
n= 1/sin(34.5°)
Now, we can use the value of n to calculate the speed of light in the material (v):
v= n/c
v = (3×10^8m/s) / 1/sin(34.5°)
Calculate v:
v ≈ 2.20×10^8 m/s
So, the speed of light in the Pyrex material is approximately 2.20×10^8 m/s.
I hope my answer helps you.