Question

If i and r are the angle of incidence and angle of refraction, then the equation for the Snell's law is

• A. Sin i + Sin r = Constant
• B. Sin i - Sin r = Constant
• C. Sin i \(\times\) Sin r = Constant
• D. \(\frac{\text{sin i}}{\text{sin r}}\)

Answer 1

The Correct Option is D

Correct answer: \(\frac{\sin i}{\sin r}\)
 
Explanation:
Snell's Law describes how light bends when it passes from one medium to another. It is mathematically expressed as: \[ \frac{\sin i}{\sin r} = \frac{v_1}{v_2} = \frac{n_2}{n_1} \] where:
- \( i \) = angle of incidence
- \( r \) = angle of refraction
- \( n_1, n_2 \) = refractive indices of the respective media
- \( v_1, v_2 \) = speeds of light in the respective media 
This ratio \(\frac{\sin i}{\sin r}\) remains constant for a given pair of media. 

Hence, the correct answer is: \(\frac{\sin i}{\sin r}\).