CBSE Class 12-science Answered

A vessel contains water up to a height of 20 cm and above it an oil up to another 20 cm.The refractive indices of water and oil are 1.33 and 1.30 respectively.find the apparent depth

Asked by gajendrarathore582 | 02 Oct, 2018, 11:22: AM

Expert Answer

begin mathsize 12px style fraction numerator r e a l space d e p t h over denominator a p p a r e n t space d e p t h end fraction space equals space r e f r a c t i v e space i n d e x end style

let real depth and apparent depth of water be d_w and d_w' .

Then we have,

begin mathsize 12px style fraction numerator d subscript w over denominator d subscript w apostrophe end fraction space equals space r e f r a c t i v e space i n d e x space o f space w a t e r space w i t h space r e s p e c t space t o space o i l space equals space fraction numerator 1.33 over denominator 1.3 end fraction end style

then

begin mathsize 12px style d subscript w apostrophe space equals space fraction numerator d subscript w over denominator 1.33 end fraction cross times 1.3 space space equals space fraction numerator 20 cross times 1.3 over denominator 1.33 end fraction space equals space 19.55 space c m end style

............................(1)

let real depth and apparent depth of water be d_o and d_o' .

Then we have,

begin mathsize 12px style fraction numerator d subscript o over denominator d subscript o apostrophe end fraction space equals space r e f r a c t i v e space i n d e x space o f space o i l space w i t h space r e s p e c t space t o space a i r space equals space fraction numerator 1.3 over denominator 1 end fraction end style

then

begin mathsize 12px style d subscript o apostrophe space equals space fraction numerator d subscript o over denominator 1.3 end fraction space space equals space fraction numerator 20 over denominator 1.3 end fraction space equals space 15.38 space c m end style

............................(2)

adding (1) and (2), total apparent depth is 34.93 cm

Answered by Thiyagarajan K | 03 Oct, 2018, 06:14: AM

CBSE Class 12-science Answered

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CBSE Class 12-science Answered

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