Question

an object is placed 5.0 cm from the lens and is illuminated with red light. the focal length of the lens for red light is 8.0 cm. calculate the position of the image and the linear magnification.

Answer 1

Step-by-step explanation:

To calculate the position of the image, we can use the lens formula:

1/f = 1/u + 1/v

where f is the focal length, u is the object distance, and v is the image distance.

Given:

f = 8.0 cm

u = 5.0 cm

We can rearrange the formula to solve for v:

1/v = 1/f - 1/u

1/v = 1/8.0 - 1/5.0

1/v = (5 - 8) / 40

1/v = -3 / 40

Now, we can find v:

v = -40 / 3

v ≈ -13.33 cm

The negative sign indicates that the image is formed on the same side as the object, which means it's a virtual image.

Now, to calculate the linear magnification (M), we can use the formula:

M = -v / u

M = -(-13.33) / 5.0

M = 13.33 / 5.0

M ≈ 2.67