Step 1: Understanding the Question:
The question asks about the direction of bending of a light ray when it crosses an interface obliquely, moving from an optically denser medium to an optically rarer medium.
Step 2: Key Formula or Approach:
According to Snell's Law of refraction:
\[ n_1 \sin \theta_1 = n_2 \sin \theta_2 \]
where:
\(n_1, n_2\) are the refractive indices of medium 1 and 2,
\(\theta_1\) is the angle of incidence,
\(\theta_2\) is the angle of refraction.
Step 3: Detailed Explanation:
• Let medium 1 be optically denser (higher refractive index, \(n_1\)) and medium 2 be optically rarer (lower refractive index, \(n_2\)). Therefore:
\[ n_1 \gt n_2 \]
• From Snell's Law:
\[ \frac{\sin \theta_2}{\sin \theta_1} = \frac{n_1}{n_2} \]
• Since \(n_1 \gt n_2\), it must be that:
\[ \sin \theta_2 \gt \sin \theta_1 \implies \theta_2 \gt \theta_1 \]
• The angle of refraction (\(\theta_2\)) is greater than the angle of incidence (\(\theta_1\)). This means the refracted ray travels at a larger angle relative to the normal line compared to the incident ray.
• This geometric change means the ray bends away from the normal as it speeds up in the rarer medium.
Step 4: Final Answer:
The light ray will bend away from the normal.