Step 1: Understanding the effect of sunlight on objects.
The position of the Sun at different times of the day affects the direction and length of the shadow cast on the objects. In this case, the shadows cast by the spheres depend on the Sun's position relative to the objects.
Step 2: Analyzing the options.
(A) P = 10 am, Q = 10:30 am, R = 12 noon, S = 6 pm: This is incorrect based on the expected angles of light and shadow at these times.
(B) P = 3 pm, Q = 6 am, R = 12 noon, S = 10:30 am: This is incorrect, as it doesn't align with the typical sunlight positions and shadows.
(C) P = 9:30 am, Q = 3 pm, R = 12 noon, S = 9 am: This is incorrect, as the shadows do not match the expected results for these times.
(D) P = 10:30 am, Q = 6 pm, R = 12 noon, S = 1 pm: This is correct, as it accurately represents the time of day when the shadows are cast according to the Sun’s position.
Step 3: Conclusion.
The correct answer is (D) because it matches the expected positions of the Sun and the resulting shadows on the spheres.