Optics 3 Question 40

40. The radius of curvature of the convex face of a planoconvex lens is 12cm and its μ=1.5.

(1979)

(a) Find the focal length of the lens. The plane face of the lens is now silvered.

(b) At what distance from the lens will parallel rays incident on the convex surface converge?

(c) Sketch the ray diagram to locate the image, when a point object is placed on the axis 20cm from the lens.

(d) Calculate the image distance when the object is placed as in (c)

Show Answer

Answer:

Correct Answer: 40. at a distance of 11cm, virtual

Solution:

  1. (a) 1f=(μ1)1R11R2=(1.51)1121=124

f=+24cm

(b) The system will behave like a mirror of power given by

1F(m)=210.24+0F=0.12m=12cm

Hence, the system will behave like a concave mirror of focal length 12cm. Therefore parallel rays will converge at a distance of 12cm (to the left) of the system.

(c)

(d) Using mirror formula

1v120=112

Solving, we get v=30cm.

Therefore the image will be formed at a distance of 30cm to the left of system.



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक