Q.
A compound microscope has a magnifying power of 100 when the image is formed at infinity. The objective has a focal length of 0.5 cm and the tube length is 6.5 cm. Find the focal length of the eye- piece
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a
1 cm
b
2 cm
c
3 cm
d
4 cm
answer is B.
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Detailed Solution
When final image is at infinity the magnification produced by eye piece is Dfe and ve=feL=vo+ue 1Vo+1uo=1fo6.5=Vo+fe vou0+1=vofo u0vo+1=6.5−fe0.5Overall magnification v0uoDfe=100 vouo=4fe 4fe+1=26.5−fe 4fe+1=13−2fe 6fe=12 fe=2cm
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