A 1 cm tall object is placed perpendicular to the principal axis of a convex lens of focal length 20cm...........?

0 votes
20 views
asked Mar 15, 2018 in Physics by Renukha (383 points) 1 7
reshown Mar 15, 2018 by Renukha

A 1 cm tall object is placed perpendicular to the principal axis of a convex lens of focal length 20cm.The distance of the object from the lens is 15cm.Find the nature, position, size and magnification of the image.

1 Answer

+1 vote
answered Mar 15, 2018 by Ankit Agarwal (28,847 points) 7 31 67
selected Mar 15, 2018 by Renukha
 
Best answer

Focal length f = 20 cm

Object distance u = -15 cm

Image distance v= ?

The lens formula is 1/f = 1/v - 1/u
1/v = 1/u + 1/f
1/v = 1/-15 + 1/20
1/v = -4+3/60
1/v = -1/60 or v = -60 cm
Here the negative sign indicates that the image is formed on the same side of the lens as the object. 
Therefore, the image is virtual.

Now, Magnification m = h'/h = v/u = -60/-15 = +4

Therefore, h' = 4xh = 4x1 = +4 cm

The positive sign of h' shows that the image is erect. Thus, in this case, the image is erect, virtual, 4 cm tall, and it is formed at a distance of 60 cm on the same side of the lens as the object.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

...