Concept explainers
(a) To determine:
Minimum refractive index of glass or plastic prism to be used in binocular so that total internal reflection occurs at 45˚
Answer to Problem 41P
Solution:
Explanation of Solution
Given:
Refractive index,
Total internal reflection occurs at = 45˚
Formula used:
Snell’s law:
Where,
is refractive index of material 1
is refractive index of material 2
angle of incidence
angle of refraction
Calculation:
(a)
Considering medium 2 is air, thus, =1
⇨
Thus, Minimum refractive index of glass or plastic prism to be used in binocular so that total internal reflection occurs at 45˚ is .
(b) To determine:
Whether binoculars will work if their prisms with n=1.58 are immersed in water.
Answer to Problem 41P
Solution:
No, binoculars will not work
Explanation of Solution
Calculation:
Where is the refractive index of water, =1.333
⇨ as =45˚
⇨
LHS ≠ RHS.
Thus, binoculars will not work if their prisms with n=1.58 are immersed in water.
(c) To determine:
The minimum n needed when prisms are immersed in the water.
Answer to Problem 41P
Solution:
Explanation of Solution
Calculation:
Minimum refractive index required is
The minimum n needed when prisms are immersed in the water is 1.88.
Chapter 23 Solutions
Physics: Principles with Applications
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