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(B) The effective power of the combination of two lenses in contact is given by $P = P_1 + P_2$.Given $P_1 = +20$ $D$ and $P_2 = -4$ $D$, the effectiv

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$1.5$

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(B) The effective power of the combination of two lenses in contact is given by $P = P_1 + P_2$.Given $P_1 = +20$ $D$ and $P_2 = -4$ $D$, the effective power is $P = 20 - 4 = 16$ $D$.The focal length $f$ of the combination is $f = 1/P = 1/16$ m = $100/16$ cm = $6.25$ cm.For a simple microscope, the magnifying power $M$ is given by $M = 1 + D/f$, where $D = 25$ cm is the distance of distinct vision.$M = 1 + 25/6.25 = 1 + 4 = 5$.The magnification $M$ is defined as the ratio of the image size $h_i$ to the object size $h_o$, i.e.,$M = h_i / h_o$.Given $h_o = 3$ mm = $0.3$ cm, we have $h_i = M 	imes h_o = 5 	imes 0.3$ cm = $1.5$ cm.Thus, the size of the image is $1.5$ cm.

$A$ simple microscope is a combination of two lenses in contact. Their powers are $+20$ $D$ and $-4$ $D$. The distance of distinct vision is $25$ cm. When seen through the microscope, the size of an object $3$ mm high is (in $cm$)

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