Two unknown thin lenses are tested with a parallel beam of light.
• Lens A produces a small bright spot 15 cm beyond the lens on the side opposite the beam.
• Lens B produces rays that exit the lens spreading apart as if they had originated 10 cm in front of the lens.
Which of the following identifies the type and focal-length sign of each lens?
a) Lens A: converging, f=+15cm; Lens B: diverging, f=+10cm
b) Lens A: diverging, f=−15cm; Lens B: converging, f=+10cm
c) Lens A: converging, f=+15cm; Lens B: diverging, f=−10cm
d) Lens A: converging, f=−15cm; Lens B: diverging, f=−10cm