The ratio $\dfrac{\text{sin i}}{\text{sin r}}$ where $\angle i$ and $\angle r$ are the angles of incidence and refraction respectively is called the ______________________ of the second medium (B) with respect to the first medium (A).
A). Optical density
B). Power
C). Refractive Index
D). None

Question

The ratio $\dfrac{\text{sin i}}{\text{sin r}}$ where $\angle i$ and $\angle r$ are the angles of incidence and refraction respectively is called the ______________________ of the second medium (B) with respect to the first medium (A).
A). Optical density
B). Power
C). Refractive Index
D). None

Vedantu Content Team · Accepted Answer

Hint: To solve this question, we need to know the basics of refraction. In refraction, the term refracting angle defines the angle that is in the middle of the refracted ray and the normal which is drawn at the point of incidence to the interface where refraction occurs. Keeping this in mind, we can easily solve the question given.Complete step by step answer: We should know that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is Snell’s law. Brewster’s angle is an angle of incidence at which polarized light rays transmitted through a transparent dielectric surface, without any reflection.In option A we have optical density. Optical density is defined as the degree to which a refractive medium retards transmitted rays of light. So, this does not match with the criteria mentioned in the question. Hence, this cannot be the answer. In option B it is mentioned power. By power we mean, the amount of energy transferred or converted per unit time. So, this does not match with the criteria mentioned in the question. Hence, this cannot be the answer. In option C, it is mentioned in the refractive index. We know that the refractive index is the ratio of the speed of light in two different mediums. This refers to the criteria mentioned in the question. It is also the ratio of the sine of the angle of incidence (i) and angle of refraction (r) and is given by $\mu =\dfrac{sini}{sinr}$. this can also be illustrated as follows;

So, this is the answer. Hence, the correct answer is Option C. Note: We must not confuse angle of refraction with the angle of reflection. Reflection does not depend on a medium while refraction depends on a medium. Even refraction can show properties of reflection at a specific angle.

The ratio $\dfrac{\text{sin i}}{\text{sin r}}$ where $\angle i$ and $\angle r$ are the angles of incidence and refraction respectively is called the ______________________ of the second medium (B) with respect to the first medium (A).A). Optical densityB). PowerC). Refractive IndexD). None

The ratio $\dfrac{\text{sin i}}{\text{sin r}}$ where $\angle i$ and $\angle r$ are the angles of incidence and refraction respectively is called the ______________________ of the second medium (B) with respect to the first medium (A).
A). Optical density
B). Power
C). Refractive Index
D). None