The refractive indices of mediums 1, 2 and 3 are 1.50, 1.36 and 1.54, respectively. If the speed of light in the mediums are and , respectively, which of the following relations between them is correct?

Correct option is A

Relationship between Refractive Index and Speed of Light: The refractive index (n) of a medium is inversely proportional to the speed of light (v) in that medium. This relationship is given by:

n = c / v

where:

• n is the refractive index
• c is the speed of light in a vacuum (constant)
• v is the speed of light in the medium
• Analyzing the given information:
• Medium 1: n1 = 1.50
• Medium 2: n2 = 1.36
• Medium 3: n3 = 1.54

Since n1 > n2, it implies that v1 < v2 (speed of light in medium 1 is slower than in medium 2).

Similarly, since n2 < n3, it implies that v2 > v3 (speed of light in medium 2 is faster than in medium 3).

Therefore, the correct relationship between the speeds of light in the three mediums is v1 < v2 and v2 > v3, which can be summarized as V2 > V1 > V3.