Question

Snell's law states that (\(n_1\) is the index of refraction of the first medium and \(n_2\) is that of second, \(\theta_t\) is the angle of refraction and \(\theta_i\) is angle of incidence)

• A. \(n_1\sin\theta_i=0\)
• B. \(n_2\sin\theta_t=0\)
• C. \(n_2\sin\theta_t=n_1\sin\theta_i\)
• D. \(n_2\sin\theta_t=-n_1\sin\theta_i\)

Hint:

Snell's Law: \[ n_1\sin\theta_i = n_2\sin\theta_t \] It governs refraction of electromagnetic waves.

Answer 1

The Correct Option is C

Concept: Snell's law relates the angles of incidence and refraction when an electromagnetic wave travels from one medium to another. \[ n_1\sin\theta_i = n_2\sin\theta_t \]

Step 1: Write Snell's law.
\[ n_1\sin\theta_i = n_2\sin\theta_t \]

Step 2: Compare with options.
Rearranging, \[ n_2\sin\theta_t = n_1\sin\theta_i \] which matches option (C).

Step 3: Final Answer.
\[ \boxed{n_2\sin\theta_t=n_1\sin\theta_i} \] Hence, \[ \boxed{\text{Correct Option (C)}} \]