Problem 24.1 Two converging lenses with focal lengths of 40cm and 22 cm are 13 c

ID: 1334177 • Letter: P

Question

Problem 24.1

Two converging lenses with focal lengths of 40cm and 22 cm are 13 cm apart. A 2.6-cm-tall object is 15 cm in front of the 40-cm-focal-length lens.

Part A

Calculate the distance between the image and 22-cm-focal-length lens.

Express your answer to two significant figures and include the appropriate units.

Part B

Calculate the image height.

Express your answer to two significant figures and include the appropriate units

Problem 24.1

Two converging lenses with focal lengths of 40cm and 22 cm are 13 cm apart. A 2.6-cm-tall object is 15 cm in front of the 40-cm-focal-length lens.

Part A

Calculate the distance between the image and 22-cm-focal-length lens.

Express your answer to two significant figures and include the appropriate units.

d =

Part B

Calculate the image height.

Express your answer to two significant figures and include the appropriate units

h =

Part A:

1/F =1/f1+1/f2 -(d/f1 f2)

1/F = (1/ 40) +(1/22) - (13/ 40 x22) = 49 /880

1/F =1/u +1/v

1v = 1/F -1/u

1/v = [49/880- (-1/15)] = 1615/(880x15)

v= 8.17 cm

Part B:

h1/h = v/u

h1= vxh /u = 8.17x2.6/ 15

h1 =1.42cm

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