0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# The focal lengths of the objective and the eyepiece of a compound microscope are 2.0 cm and 3.0 cm, respectively. The distance between the objective and the eyepiece is 15.0 cm. The final image formed by the eyepiece is at infinity. The two lenses are thin. The distance, in cm, of the object and the image produced by the objective, measure from the objective lens, are respectively.2.4 and 12.02.4 and 15.02.0 and 12.02.0 and 3.0

A
2.4 and 15.0
B
2.0 and 12.0
C
2.4 and 12.0
D
2.0 and 3.0
Solution
Verified by Toppr

#### Here, fv=2 cm and fe=3 cm.Using lens formula for eyepiece, −1u+1v1=1fe⇒−1u+1∝=13⇒u1=−3 cm[∵i=0]But the distance between objective and eyepiece is 15 cm (given).Therefore, distance of image formed by the objective, v=15−3=12 cm. Let u be the object distance from the objective, then for objective lens −1u+1v=1f0 or −1u+112=12⇒−1u=12−112=512u=−125=2.4 cma. is the correct option.

2
Similar Questions
Q1
The focal lengths of the objective and the eyepiece of a compound microscope are 2.0 cm and 3.0 cm respectively. The distance between the objective and the eyepiece is 15.0 cm. The final image formed by the eyepiece is at infinity. The two lenses are thin. The distance, in cm, of the object and the image produced by the objective, measured from the objective lens, are respectively
View Solution
Q2
The focal lengths of the objective and the eyepiece of a compound microscope are 2.0 cm and 3.0 cm, respectively. The distance between the objective and the eyepiece is 15.0 cm, The final image formed by the eyepiece is at infinity. The two lenses are thin. The distance(in cm) of the object and the image produced by the objective, measured from the objective lens are respectively.
View Solution
Q3
The focal lengths of the objective and the eye-piece of a compound microscope are 2.0 cm and 3.0 cm respectively. The distance between the objective and the eye-piece is 15.0 cm. The final image formed by the eye-piece is at infinity. The two lenses are thin. The distances in cm of the object and the image produced by the objective measured from the objective lens are respectively
View Solution
Q4
The focal lengths of the objective and the eye-piece of a compound microscope are 2.0 cm and 3.0 cm respectively. The distance between the objective and the eye-piece is 15.0 cm. The final image formed by the eye-piece is at infinity. The two lenses are thin. The distances in cm of the object and the image produced by the objective measured from the objective lens are respectively
View Solution