A microscope with tube length L and objective lens diameter D has a numerical ap

Question

A microscope with tube length L and objective lens diameter D has a numerical aperture value of NA.

Part A - Which expression gives the focal length of the objective lens fo?

Asume that only air exists between the objective lens and the object.

Asume that only air exists between the objective lens and the object.

fo=DLtan[sin1(NA)]

PART B:

White light is incident on a flat piece of glass of thickness d with a range of refractive indices from   nlow to  nhigh. The incident light makes an angle    with the surface.

- Which expression gives the correct, positive value for the distance along the bottom of the glass over which the resulting visible spectrum can be seen when exiting the glass?

fo=Dtan[sin1(NA)] fo=D2tan[sin1(NA)]   fo=D2Ltan[sin1(NA)]

fo=DLtan[sin1(NA)]

PART B:

White light is incident on a flat piece of glass of thickness d with a range of refractive indices from   nlow to  nhigh. The incident light makes an angle    with the surface.

- Which expression gives the correct, positive value for the distance along the bottom of the glass over which the resulting visible spectrum can be seen when exiting the glass?

x=d(tan{sin1(cosnhigh)}tan{sin1(cosnlow)})   x=d(tan{sin1(cosnlow)}tan{sin1(cosnhigh)})   x=d(tan{sin1(sinnhigh)}tan{sin1(sinnlow)})   x=d(tan{sin1(sinnlow)}tan{sin1(sinnhigh)})  

Explanation / Answer

part A : fo=Dtan[sin1(NA)]

part B :x=d(tan{sin1(cosnlow)}tan{sin1(cosnhigh)})

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