Question

In: Physics

I have a pinhole 50 microns in size illuminated by a coherent laser beam. Now, I...

I have a pinhole 50 microns in size illuminated by a coherent laser beam. Now, I have a lens (75mm focal length) 1 focal length from this pinhole, what size will the beam be when it is incident on this 75mm lens?

Solutions

Expert Solution

We have,
Size or diameter of the pinhole
Focal length of the lens

Linear magnification for lens is given by:

Where is size of the beam or image.

Linear magnification also given as:

Where is the image distance and is the object distance from the lens.

Equating both magnification equations:

We have thin lens formula:

Therefore, the image size of the laser beam will be . Note here, negative sign indicates that the image of the laser beam is inverted.


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