A 5.00 cm tall candle is placed at a distance of 50.0 cm from a double convex lens having a focal length of 15.0 cm. What is the image distance?
Choose one answer.
a. -21.4 cm
b. 21.4 cm
c. 65 cm
d. 35 cm
d. 35 cm
To answer this question, we will use the lens formula:
1/f = 1/v - 1/u
where f is the focal length, v is the image distance, and u is the object distance.
Given:
f = 15.0 cm (focal length)
u = 50.0 cm (object distance)
We can substitute these values into the lens formula to solve for v:
1/15 = 1/v - 1/50
To simplify the equation, we need to find the common denominator, which is 150v:
150v/15 = 150v/v - 150v/50
10v = 150 - 3v
Adding 3v to both sides:
13v = 150
Simplifying further, we divide both sides by 13:
v = 150/13
v ≈ 11.5 cm
Therefore, the image distance is approximately 11.5 cm.
None of the given answers (a.-21.4 cm, b.21.4 cm, c.65 cm, d.35 cm) match this result.