Question 24 Elias sees a fairy trapped in a solid sphere made of pure magic. he knows it is trapped at the center, 1.5 m from the surface. If he is in air \( (\mathrm{n}=1) \) and the magic has a refractive index of 4.2 , how far does the fairy appear to be? in

To find out how far the fairy appears to be, we can use the formula for apparent depth due to refraction, given by: \[ d' = d \cdot \frac{n_1}{n_2} \] Where: - \(d'\) is the apparent depth. - \(d\) is the actual depth (1.5 m). - \(n_1\) is the refractive index of air (1). - \(n_2\) is the refractive index of the magic (4.2). Plugging in the values: \[ d' = 1.5 \, \text{m} \cdot \frac{1}{4.2} \approx 0.357 \, \text{m} \] So, the fairy appears to be approximately 0.357 meters away from Elias.