The correct answer is c. 10.3 cm from the bowl.
How we can solve this problem?
Snell's Law: When light travels from one medium (air) to another (water), its path bends due to the difference in refractive indices. Snell's Law describes this relationship:
n air * sin(θ air) = n water * sin(θwater)
where:
n air and n water are the refractive indices of air and water, respectively
θ air and θ water are the angles of incidence and refraction
The radius of curvature (r) of the bowl relates to the object and image distances (d o and d i) by the equation:
1/d o + 1/d i = 1/f
where f is the focal length of the bowl, which can be approximated as f = r/2 for a thin lens.
d o = d i * (1 + (n air - n water) / n water) / (2 - (n air - n water) / n water)
d o = 6.0 cm * (1 + (1.00 - 1.33) / 1.33) / (2 - (1.00 - 1.33) / 1.33) ≈ 10.3 cm