1.

Focal lengths of objective and eye-piece of microscope is 1.6 cm and 2.5 cm respectively. Distance between two lenses is 21.7 cm. If final image is formed at infinity, then magnification m = ......

Answer»

11
110
1.1
44

Solution :`v_0=L-f_e=21.7-2.5=+19.2` cm

For objective`(1)/(v_0)-(1)/(u_0)=(1)/(f_0)`
`therefore (-1)/(u_0)=(1)/(f_0)-(1)/(v_0)`
`therefore (-1)/(u_0) =(19.2-1.6)/((1.6)(19.2))`
`therefore u_0=-1.745`cm
When IMAGE is FORMED at INFINITY magnification
`m=((v_0)/(u_0))((D)/(f_e))` where D=25 cm
`=((19.2)/(1.745))((25)/(2.5))`
`therefore m=110` cm


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