Ray Optics.


The radius of the beam of light 'r' falls on the hemispherical glass of radius 'R'(μ=4/3). Find the radius of the image formed at the base of the hemisphere.(it is kept on the table)

15 Answers

11
Subash ·

http://targetiit.com/iit_jee_forum/posts/y_g_2400.html

similar to this one

1
sriraghav ·

but here they r askin the radius.........i need the soln. pls/...

11
Subash ·

is the answer
3rR2/[3r2+√(R2-r2)(16R2-9r2)]

11
Subash ·

bhaiyya can u check this one please[1]

62
Lokesh Verma ·

for this question, I think we should use pure geometry. If r is not very small.

Otherwise it will/ could giev approximation errors...

11
Subash ·

so correct or not[7]

62
Lokesh Verma ·

will it be 9 r2?

62
Lokesh Verma ·

I am getting similar terms but slightly different answer!

11
Subash ·

yes typo if u mean the last one in the denominator

i will edit it now

62
Lokesh Verma ·

I have a more different version of the answer..

my result gives me 3/4 r when r is very small..

Is your answer dimensionally giving length?

11
Subash ·

bhaiyya my answer also gives 3r/4

and it is certainly dimensionally correct (i think u misread my result ive added a few more brackets now)

62
Lokesh Verma ·

check the denominator..

is it 3r2 or 9 r2!

Our answers are a bit different.

but it gives me a feeling that you(or I) may be making only a slight mistake!

The final answer is different by a huge margin .. but all the terms and smaller expressions seem to be the same ;)

11
Subash ·

:(

checked it once again only 1 mist i found

the 3r2in the denominator

if there is still some mist :(

1
sriraghav ·

sir.... the answer for same Qs. with μ=√3 and radius of beam is √3r/2..
is r/√3........ u r rite... there is some good geometrical knowlege required.. but i didn't get wat it is(only key was given)

62
Lokesh Verma ·

not too much sriraghav.. this is a dirty solution...

I dont have a camera right now... will try to post the solution tomorrow..

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