Optics Question 810

Question: A glass sphere, refractive index 1.5 and radius 10 cm, has a spherical cavity of radius 5 cm concentric with it. A narrow beam of parallel light is directed into the sphere. Find the final image and its nature.

Options:

A) 25 cm left of S4, virtual

B) 25 cm right of S4, real

C) 15 cm left of S4, virtual

D) 20 cm right of S4, virtual

Show Answer

Answer:

Correct Answer: A

Solution:

[a] We will have single surface refractions successively at the four surfaces S1,S2,S3 and S4.

Do not forget to shift origin to the vertex of respective surface. 1.5v11=(1.51)+10 v1=30cm

First image is object for the refraction at second surface.

For refraction at surface S2 : Light travels from glass to air 1v21.5(+25)=11.5(+)5 v2=25cm

For refraction at surface S4 : Light travels from air to glass. 1.5v31(35)=(11.5)(5) v3=35/3cm

For refraction at surface S4 : Light travels from glass to air similarly, V4=25cm

The final image is virtual, formal at 25 cm to the left of the vertex of surface S4 .



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक