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A convex lens made up of glass of n 1.5 is dipped in turn in 1)a medium of n 1.65 2)a medium of n 1.33.

1)will it behave as a converging or diverging lens in both the cases

2)how will it focal length change in the two media?

Asked by vasturushi 2nd February 2018, 6:54 PM
Answered by Expert
Answer:
begin mathsize 16px style f subscript 1 equals open parentheses n subscript g over n subscript 1 minus 1 close parentheses open parentheses 1 over R subscript 1 minus 1 over R subscript 2 close parentheses

f subscript 1 equals open parentheses n subscript g over n subscript 2 minus 1 close parentheses open parentheses 1 over R subscript 1 minus 1 over R subscript 2 close parentheses equals negative 0.0909 open parentheses fraction numerator 1.5 over denominator 1.65 end fraction minus 1 close parentheses
f o c a l space l e n g t h space i s space n e g a t i v e space s o space l e n s space i s space d i v e r g i n g space i n space n a t u r e
F 2 equals open parentheses fraction numerator 1.5 over denominator 1.33 end fraction minus 1 close parentheses open parentheses 1 over R subscript 1 minus 1 over R subscript 2 close parentheses equals 0.1278 open parentheses 1 over R subscript 1 minus 1 over R subscript 2 close parentheses
f o c a l space l e n g t h space i s space p o s i t i v e space s o space l e n s space i s space c o n v e r g i n g space i n space n a t u r e

I n space m e d i u m space 2 space t h e space f o c a l space l e n g t h space w i l l space b e space n e g a t i v e
space a n d space i n space m e d i u m space 1 space t h e space f o c a l space l e n g t h space w i l l space b e space p o s i t i v e end style
Answered by Expert 6th February 2018, 12:10 PM
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