A 21 cm tall object is 22 cm to the left of a lens with a...

A 2.1-cm-tall object is 22 cm to the left of a lens with a focal length of 11 cm. A second lens with a focal length of 30 cm is 42 cm to the right of the first lens. Calculate the distance between the final image and the second lens. Express your answer with the appropriate units. $d = 1.26$ cm Incorrect; Try Again; 4 attempts remaining Calculate the image height. Express your answer with the appropriate units. $h' = 1.26$ cm Incorrect; Try Again; 5 attempts remaining

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Transcript

00:01 In this problem, we have given a setup of two lenses which are placed 30 cm apart from each other.

00:16 This is 30 cm and here this is the object.

00:23 If we draw a rough ray diagram, we can see that it will form something like that an image.

00:34 This image will act, this is the lens 1 and this is the lens 2.

00:39 This image will act as the object for the lens 2.

00:46 So this will something look like that and if we extend it behind, it will look something like that.

00:55 And when we now draw one more line that passes through the center of pole, it will cut it here.

01:07 So, this will be an image formed by the second lens.

01:11 This is image.

01:14 So we have given some data that is height of object 2 cm, distance of object from the first lens is 22 cm, focal length of the first lens is 11 cm and focal length of second is 12 cm.

01:39 So now let us use the lens maker formula to solve this problem.

01:56 The lens maker formula is 1 upon f equal 1 upon v minus 1 upon u.

02:03 Here f is the focal length, v is the distance of image, u is the distance of object.

02:12 So now let us put this formula for the lens 1.

02:20 1 upon f1 equal 1 upon v1 minus 1 upon u1.

02:28 V1 is the image formed for the lens 1.

02:33 So let us simply put the values in this formula.

02:37 1 upon 11, 1 upon v1 minus 1 upon u that is 22 cm...