Spherical mirror with a radius of curvature question help?

Question

1. A 7.5 cm lighted candle is placed 35 cm in front of a spherical mirror with a radius of curvature of 60 cm. Where should the screen be placed in order to see the candles image clearly?

2.A 7.5 cm lighted candle is placed 35 cm in front of a spherical mirror with a radius of curvature of 60 cm. What is the minimum height of the screen in order to order to see the candles complete image?

Answer 1

1.

v = image distance.

1 / 35 + 1 / v = 2 / 60

v = 210 cm.

The screen should be 210 cm. from the mirror.

2.

Image height = 7.5 * 210 / 35 = 45 cm.

The screen should be at least 45cm. high.