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Pertanyaan

Di udara, suatu lensa bikonveks tipis mempunyai indeks bias 1,5 dan panjang fokus 50 cm. Jika lensa dimasukkan ke dalarn suatu cairan transparan, ternyata panjang fokusnya menjadi 250 cm. Tentukanlah indeks bias dari cairan tersebut!

Di udara, suatu lensa bikonveks tipis mempunyai indeks bias 1,5 dan panjang fokus 50 cm. Jika lensa dimasukkan ke dalarn suatu cairan transparan, ternyata panjang fokusnya menjadi 250 cm. Tentukanlah indeks bias dari cairan tersebut!

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Y. Maghfirah

Master Teacher

Jawaban terverifikasi

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Pembahasan

Jari-jari kelengkungan lensa: Indeks bias medium:

Jari-jari kelengkungan lensa:

size 14px 1 over size 14px f size 14px equals begin mathsize 14px style left parenthesis n subscript l over n subscript m minus 1 right parenthesis end style begin mathsize 14px style left parenthesis 1 over R subscript 1 plus 1 over R subscript 2 right parenthesis end style size 14px 1 over size 14px 50 size 14px equals begin mathsize 14px style left parenthesis fraction numerator 1 comma 5 over denominator 1 end fraction minus 1 right parenthesis end style begin mathsize 14px style left parenthesis 1 over R plus 1 over R right parenthesis end style size 14px 1 over size 14px 50 size 14px equals begin mathsize 14px style left parenthesis 0 comma 5 right parenthesis end style begin mathsize 14px style left parenthesis 2 over R right parenthesis end style size 14px 1 over size 14px 25 size 14px equals begin mathsize 14px style left parenthesis 2 over R right parenthesis end style size 14px R size 14px equals size 14px 50 size 14px space size 14px cm 

 

Indeks bias medium:

size 14px 1 over size 14px f size 14px equals begin mathsize 14px style left parenthesis n subscript l over n subscript m minus 1 right parenthesis end style begin mathsize 14px style left parenthesis 1 over R subscript 1 plus 1 over R subscript 2 right parenthesis end style size 14px 1 over size 14px 250 size 14px equals begin mathsize 14px style left parenthesis fraction numerator 1 comma 5 over denominator n subscript m end fraction minus 1 right parenthesis end style begin mathsize 14px style left parenthesis 1 over R plus 1 over R right parenthesis end style size 14px 1 over size 14px 250 size 14px equals begin mathsize 14px style left parenthesis fraction numerator 1 comma 5 over denominator n subscript m end fraction minus 1 right parenthesis end style begin mathsize 14px style left parenthesis 2 over R right parenthesis end style size 14px 1 over size 14px 250 size 14px equals begin mathsize 14px style left parenthesis fraction numerator 1 comma 5 over denominator n subscript m end fraction minus 1 right parenthesis end style begin mathsize 14px style left parenthesis 2 over 50 right parenthesis end style size 14px 1 over size 14px 10 size 14px equals size 14px left parenthesis fraction numerator size 14px 1 size 14px comma size 14px 5 over denominator size 14px n subscript size 14px m end fraction size 14px minus size 14px 1 size 14px right parenthesis size 14px 1 over size 14px 10 size 14px plus size 14px 1 size 14px equals size 14px left parenthesis fraction numerator size 14px 1 size 14px comma size 14px 5 over denominator size 14px n subscript size 14px m end fraction size 14px right parenthesis size 14px 11 over size 14px 10 size 14px equals size 14px left parenthesis fraction numerator size 14px 1 size 14px comma size 14px 5 over denominator size 14px n subscript size 14px m end fraction size 14px right parenthesis  size 14px n subscript size 14px m size 14px equals size 14px 15 over size 14px 11 size 14px space size 14px n subscript size 14px m size 14px equals size 14px 1 size 14px comma size 14px 36 

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