Question

What is the image distance of a 4 cm tall object placed 40 cm from a concave mirror having a focal length of 10 cm?

-13.3 cm

13.3 cm

-40.0 cm

40.0 cm

Answer 1

13.3 cm

Answer 2

-133.3 cm

Answer 3

-13.3

Answer 4

[AI-generated answer — Explain Bot]

To calculate the image distance in this situation, we can use the mirror formula:

1/f = 1/v - 1/u

Where:
- f is the focal length of the mirror
- v is the image distance
- u is the object distance

Given:
- f = 10 cm
- u = -40 cm (negative because the object is placed in front of the mirror)

Plugging in the values into the formula:

1/10 = 1/v - 1/-40

Simplifying:

1/10 = (1/v) + (1/40)

Multiplying through by 40v:

4v = 40 + v

Simplifying:

3v = 40

v = 40/3

Therefore, the image distance is approximately 13.3 cm.