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Q: Why the aperture and focal length of objective of a microscope are small?

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Yes.

The magnification of a telescope M is the the focal length of the objective Fo over the focal length of the eyepiece Fe so increasing the focal length of the objective increases the magnification. The magnification of a microscope M is approximately tube length L/Fo x 25/Fe. Therefore increasing the focal length of the objective reduces the magnification.

To improve magnification. Also so that we can get a real and inverted image

because manifying power has inerse relation with that of focal length

The focal length of EyePiece is relatively larger to that of the Objective lens. Power of a lens is inversely proportional to it's focal length. Therefore, Objective is slightly more powerful than EyePiece.

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Yes.

The magnification of a telescope M is the the focal length of the objective Fo over the focal length of the eyepiece Fe so increasing the focal length of the objective increases the magnification. The magnification of a microscope M is approximately tube length L/Fo x 25/Fe. Therefore increasing the focal length of the objective reduces the magnification.

For visual observation: Magnification = (Focal Length of Objective Lens) divided by (Focal Length of Eyepiece) (They have to be measured in the same units.) For prime-focus photography: (One focal-length of the Objective Lens on the film) = (one radian in the sky)

A compound microscope contains an objective lens with a very short focal length and an eyepiece with a longer focal length. Both lens are mounted in the same tube.

To improve magnification. Also so that we can get a real and inverted image

The magnification of the telescope image is(focal length of the objective) divided by (focal length of the eyepiece).The focal length of the objective is fixed.Decreasing the focal length of the eyepiece increases the magnification of the image.(But it also makes the image dimmer.)

Field of view will decrease as the aperture remain same but things become larger and so we can see smaller area after magnification

The magnification of the telescope image is(focal length of the objective) divided by (focal length of the eyepiece).The focal length of the objective is fixed.Decreasing the focal length of the eyepiece increases the magnification of the image.(But it also makes the image dimmer.)

In light microscopy, oil immersion is a technique used to increase the resolution of a microscope. This is achieved by immersing both the objective lens and the specimen in a transparent oil of high refractive index, thereby increasing the numerical aperture of the objective lens.

The eyepiece will have a shorter focal length than the objective lens has.

20

Divide the focal length of the objective lens by the focal length of the eyepiece.