In a compound microscope, the focal length of the objective and the eye lens are 2.5 cm and 5 cm respectively. An object is placed at 3.75 cm before the objective and image is formed at the least distance of distinct vision, then the distance between two lenses will be (i.e. length of the microscopic tube)
A) 11.67 cm B) 12.67 cm C) 13.00 cm D) 12.00 cm
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given
fe=3cm
and
fo=1.2cm
uo=1.25cm
ve=∞
From ,
1/uo+1/vo=1/fo
,
we get
1/vo=1/1.2−1/1.25
vo=30cm
Magnification of microscope
m=vo/uo(1+Dfe)
m=30/1.25(1+253)≃200
.
fe=3cm
and
fo=1.2cm
uo=1.25cm
ve=∞
From ,
1/uo+1/vo=1/fo
,
we get
1/vo=1/1.2−1/1.25
vo=30cm
Magnification of microscope
m=vo/uo(1+Dfe)
m=30/1.25(1+253)≃200
.
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