I have concave mirror formula how to write convex?

EduRev

All Courses

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Class 12 Exam > Class 12 Questions > I have concave mirror formula how to write co...

Join the Discussion on the App

I have concave mirror formula how to write convex?

Join for Free

Join for Free

Verified Answer

I have concave mirror formula how to write convex?

Derivation of formula for convex mirror:

Let AB be an object placed on the principal axis of a convex mirror of focal length f. u is the distance between the object and the mirror and v is the distance between the image and the mirror.

In ABC and A1B1C

<ABC = <A1B1C (right angles)

<ACB = <A1CB1

<CAB = <CA1B (common angle)

ABC is similar to A1B1C

AB/A1B1 = BC/B1C...(1)

similarly DEF issimilar to A1B1F

DE/A1B1 = EF/B1F....(2)

But DE = AB and when the aperture is very small EF = PF

Equation (2) becomes

AB/A1B1 = PF/B1F....(3)

Frm equations (1) and (3) get

PF/B1F = BC/B1C

PF/PF-PB1 = PB + PC/PC - PB1

f/f - v = -u + 2f/2f - v

[PF = f, PB1 = v, PB = u, PC = 2f]

2(2f - v)= (f-v)(2f-u)

i could not write the following 2 steps sorry

-vf + uf + 2 fv -vu=0

fv+uf-vu=0....(4)

Dividing both sides of equation(4) by uvf we get

fv/uvf + uf/uvf - uv/uvf=0

1/u +1/v - 1/f=0

1/u + 1/v = 1/f

This question is part of UPSC exam. View all Class 12 courses

View all answers Start learning for free

Explore Courses for Class 12 exam

I have concave mirror formula how to write convex?

Share with a Friend

Answer this doubt

Question Description
I have concave mirror formula how to write convex? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about I have concave mirror formula how to write convex? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for I have concave mirror formula how to write convex?.

Solutions for I have concave mirror formula how to write convex? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.

Here you can find the meaning of I have concave mirror formula how to write convex? defined & explained in the simplest way possible. Besides giving the explanation of I have concave mirror formula how to write convex?, a detailed solution for I have concave mirror formula how to write convex? has been provided alongside types of I have concave mirror formula how to write convex? theory, EduRev gives you an ample number of questions to practice I have concave mirror formula how to write convex? tests, examples and also practice Class 12 tests.

Explore Courses for Class 12 exam