Would the answer be b)? diamond into air?
A critical angle of 24.4 degrees applies to:
a) light travelling from air into diamond
b) light travelling from diamond into air
c) light travelling from water into diamond
d) light travelling from diamond into water
To determine which option out of a), b), c), or d) corresponds to the given critical angle, we need to understand the concept of critical angle.
The critical angle is the angle of incidence at which a ray of light traveling through one medium is refracted at an angle of 90 degrees (along the interface between two media). Beyond this critical angle, the light is reflected back into the originating medium.
The formula for the critical angle is as follows:
Critical Angle = sin^(-1)(n₂ / n₁)
where n₁ is the refractive index of the medium from which the light is coming (initial medium) and n₂ is the refractive index of the medium into which the light is entering (final medium).
In this case, we need to find the critical angle of incidence for light traveling from one medium to another. We are given the angles of incidence, so we need to consider the refractive indices.
Let's examine each option:
a) Light traveling from air into diamond: In this case, the critical angle would be calculated using the refractive indices of air (n₁) and diamond (n₂).
b) Light traveling from diamond into air: In this case, the critical angle would be calculated using the refractive indices of diamond (n₁) and air (n₂).
c) Light traveling from water into diamond: In this case, the critical angle would be calculated using the refractive indices of water (n₁) and diamond (n₂).
d) Light traveling from diamond into water: In this case, the critical angle would be calculated using the refractive indices of diamond (n₁) and water (n₂).
To determine the correct answer, we need to compare the refractive indices of the mediums involved. Diamond has a higher refractive index than air and water, meaning light travels slower in diamond than in air or water. This information helps us determine which option is correct.
Since the critical angle occurs when light goes from a medium with a higher refractive index to a medium with a lower refractive index, the correct answer is option b) "light traveling from diamond into air."
Therefore, the answer would be b) "diamond into air."