What two mechanisms on a microscope allow you to control the amount of light that hits your slide?

Condenser and Iris Diaphragm.

Explanation:

The working principle of a microscope is projecting a light source on the specimen that is being investigated under the lens. The two mechanisms that control the light, it's focus and it's amount on a microscope and for other lens-operated mechanisms such as telescopes as well, are the condenser and the iris diaphragm.

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