CBSE Class 12 Physics 2020 Delhi Set 3 Paper

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Question : 7
Total: 7
An optical instrument uses an objective lens of power 100D and an eyepiece of power 40D. The final image is formed at infinity when the tube length of the instrument is kept at 20‌cm.
(a) Identify the optical instrument.
(b) Calculate the angular magnification produced by the instrument.
Solution:  
(a) The instrument is called compound microscope because the focal length of objective lens is smaller than the focal length of eyepiece.
(b) Power of objective =Po=100D
‌∴‌‌fo=‌
1
100
m
=1‌cm

‌‌ Power of eyepiece ‌=PE=40D
‌∴‌‌fE=‌
1
40
m
=2.5‌cm

Power of eyepiece =PE=40D
∴‌‌fE=‌
1
40
m
=2.5‌cm

Length of tube =L=20‌cm
D= least distance of distinct vision =25‌cm
Angular Magnification =‌
L
fo
×
‌
D
fR

∴ Angular Magnification =‌
20
1
×
‌
25
2.5
=200
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