Berdasarkan data pada gambar di atas, jika kecepatan cahaya di udara 3×108 sm​, kecepatan cahaya dalam zat cair (2​=1,4; 3​=1,7) adalah...

Pertanyaan

Berdasarkan data pada gambar di atas, jika kecepatan cahaya di udara begin mathsize 14px style 3 cross times 10 to the power of 8 space straight m over straight s end style, kecepatan cahaya dalam zat cair begin mathsize 14px style open parentheses square root of 2 equals 1 comma 4 semicolon space square root of 3 equals 1 comma 7 close parentheses end style adalah...

  1. begin mathsize 14px style 1 comma 5 cross times 10 to the power of 8 space straight m over straight s end style 

  2. begin mathsize 14px style 1 comma 8 cross times 10 to the power of 8 space straight m over straight s space end style 

  3. begin mathsize 14px style 2 comma 41 cross times 10 to the power of 8 space straight m over straight s end style 

  4. begin mathsize 14px style 2 comma 47 cross times 10 to the power of 8 space straight m over straight s end style 

  5. begin mathsize 14px style 2 comma 49 cross times 10 to the power of 8 space straight m over straight s end style 

M. Ardini

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

 kecepatan cahaya dalam zat cair adalah begin mathsize 14px style 3 comma 64 cross times 10 to the power of 8 space straight m over straight s end style

Pembahasan

Diketahui:
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell v subscript 1 end cell equals cell c equals 3 cross times 10 to the power of 8 space straight m over straight s end cell row i equals cell 60 degree end cell row r equals cell 45 degree end cell end table end style 

Ditanya:
begin mathsize 14px style v subscript 2 equals ? end style 

Jawab

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space i over denominator sin space r end fraction end cell equals cell v subscript 2 over v subscript 1 end cell row cell fraction numerator begin display style 1 half end style square root of 3 over denominator begin display style 1 half end style square root of 2 end fraction end cell equals cell v subscript 2 over c end cell row cell v subscript 2 end cell equals cell fraction numerator square root of 3 over denominator square root of 2 end fraction times 3 cross times 10 to the power of 8 end cell row blank equals cell 3 comma 64 cross times 10 to the power of 8 space straight m over straight s end cell end table end style 

Jadi, kecepatan cahaya dalam zat cair adalah begin mathsize 14px style 3 comma 64 cross times 10 to the power of 8 space straight m over straight s end style

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