$$ \begin{array}{|l|l|} \hline \text { Column - I } & \text { Column - II } \\ \hline \text { (i) While going from rarer to denser medium } & \text { (a) Wavelength changes } \\ \text { (ii) While going from denser to rarer medium } & \text { (b) } \eta=(\mathrm{C} / \mathrm{V}) \\ \text { (iii) While going to one medium to another } & \text { (C) Ray bends towards normal } \\ \text { (iv) Refractive index of medium } & \text { (D) Rav bends awav from normal } \\ \hline \end{array} $$ (A) \(i-c\), ii \(-d\), iii \(-b\), iv-a (B) \(\mathrm{i}-\mathrm{a}\), ii \(-\mathrm{b}\), iii $-\mathrm{c}, \mathrm{iv}-\mathrm{d}$ (C) $\mathrm{i}-\mathrm{c}, \mathrm{ii}-\mathrm{b}, \mathrm{iii}-\mathrm{a}, \mathrm{iv}-\mathrm{d}$ (D) \(i-d, 1 i-c, 11 i-b, i v-a\)

Step by step solution

01

Analyze Column-I statements

Each statement in Column-I refers to a situation related to light passing through different media (rarer or denser). Let's look at the column-I statements: (i) While going from rarer to denser medium (ii) While going from denser to rarer medium (iii) While going to one medium to another (iv) Refractive index of medium

02

Analyze Column-II terms or expressions

Now, let's look at the Column-II terms or expressions that will be related to the above statements: (a) Wavelength changes (b) \(\eta=(\mathrm{C} / \mathrm{V})\) (c) Ray bends towards normal (d) Ray bends away from normal

03

Match each statement with the correct term or expression

Let's match the statements with the correct terms: (i) While going from rarer to denser medium: - When light passes from a rarer to a denser medium, it bends towards the normal. So, we can match (i) with (c). (ii) While going from denser to rarer medium: - When light passes from a denser to rarer medium, it bends away from the normal. So, we can match (ii) with (d). (iii) While going to one medium to another: - When light goes from one medium to another, the wavelength of light changes. So, we can match (iii) with (a). (iv) Refractive index of medium: - The refractive index of the medium is the ratio of the speed of light in a vacuum (C) to the speed of light in that medium (V): \(\eta = (\mathrm{C} / \mathrm{V})\). So, we can match (iv) with (b).

04

Find the correct option from the given choices

Based on our matching in step 3, we can see the correct matches as follows: i-c, ii-d, iii-a, iv-b Comparing this with the given options, we find the correct option is (A).

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