The refractive indices of two media are denoted by n1 and n2, and the velocities of light in these two media are respectively v1 and v 2. If nz/ni is 1.5, which one of the following statements is correct?

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Q: 63 (NDA-II/2018)
The refractive indices of two media are denoted by n1 and n2, and the velocities of light in these two media are respectively v1 and v
2. If nz/ni is
1.5, which one of the following statements is correct?

question_subject: 

Maths

question_exam: 

NDA-II

stats: 

0,1,1,1,1,0,0

keywords: 

{'refractive indices': [0, 0, 0, 1], 'n2': [1, 0, 3, 1], 'ni': [0, 0, 0, 2], 'times v1': [0, 0, 0, 1], 'light': [16, 4, 34, 62], 'v1': [0, 0, 0, 1], 'velocities': [0, 0, 1, 1], 'v2': [0, 0, 0, 1], 'times v2': [0, 0, 0, 1], 'nz': [0, 0, 0, 1]}

The correct answer is option 1: v1 is 1.5 times v2.

To understand why this is correct, we need to look at Snell`s law, which governs the refraction of light at the interface between two media. Snell`s law states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the velocities of light in the two media.

Mathematically, Snell`s law can be written as n1*sin(angle of incidence) = n2*sin(angle of refraction), where n1 and n2 are the refractive indices of the two media.

In this question, we are given the ratio nz/ni, which is the refractive index of the second medium (n2) divided by the refractive index of the first medium (n1). According to Snell`s law, this ratio is also equal to the ratio of the velocities of light in the two media.

Therefore, nz/ni = v2/v1.

Since nz/ni is given as 1.5, we can rewrite the equation as 1.5 = v2/v1.

This means that the velocity v1 is 1.5 times the velocity v2, which aligns