sebuah mikroskop memiliki lensa objektif dengan jarak fokus 2 cm

Pembahasan

Mikroskop adalah alat yang mampu melakukan perbesaran hingga ratusan kali yang digunakan untuk mengamati benda-benda renik atau mikro seperti virus dan bakteri. Bayangan akhir yang dibentuk oleh mikroskop bersifat diperbesar, maya, dan terbalik. Perbesaran total mikroskop adalah hasil kali perbesaran lensa objektif dengan perbesaran lensa okuler. Secara matematis:

begin mathsize 14px style M subscript t o t end subscript equals M subscript o b end subscript cross times M subscript o k end subscript end style 

dengan:

begin mathsize 14px style M subscript o b end subscript equals fraction numerator s apostrophe subscript o b end subscript over denominator s subscript o b end subscript end fraction equals fraction numerator h apostrophe subscript o b end subscript over denominator h subscript o b end subscript end fraction end style dan begin mathsize 14px style M subscript o k end subscript equals s subscript n over f subscript o k end subscript plus 1 space left parenthesis berakomodasi space maksimum right parenthesis end style  

Panjang mikroskop dirumuskan:

begin mathsize 14px style d equals s apostrophe subscript o b end subscript plus s subscript o k end subscript end style 

Pada soal diketahui, fob = 2 cm, fok = 6 cm, dan d = 26 cm, maka:

begin mathsize 14px style M subscript o k end subscript equals s subscript n over f subscript o k end subscript plus 1 M subscript o k end subscript equals 25 over 6 plus 1 M subscript o k end subscript equals 5 comma 17 space kali end style

mencari sok (Untuk mata berakomodasi maksimum, s’ok = begin mathsize 14px style minus end stylesn = begin mathsize 14px style minus end style25 cm.

begin mathsize 14px style 1 over f subscript o k end subscript equals 1 over s subscript o k end subscript plus fraction numerator 1 over denominator s apostrophe subscript o k end subscript end fraction 1 over 6 equals 1 over s subscript o k end subscript plus fraction numerator 1 over denominator negative 25 end fraction 1 over s subscript o k end subscript equals 1 over 6 plus 1 over 25 1 over s subscript o k end subscript equals fraction numerator 25 plus 6 over denominator 150 end fraction s subscript o k end subscript equals 150 over 31 equals 4 comma 84 space cm end style

Mencari s’ob:

begin mathsize 14px style d equals s apostrophe subscript o b end subscript plus s subscript o k end subscript 26 equals s apostrophe subscript o b end subscript plus 4 comma 84 s apostrophe subscript o b end subscript equals 21 comma 16 space cm end style

Mencari sob:

begin mathsize 14px style s subscript o b end subscript equals fraction numerator s apostrophe subscript o b end subscript left parenthesis f subscript o b end subscript right parenthesis over denominator s apostrophe subscript o b end subscript minus f subscript o b end subscript end fraction s subscript o b end subscript equals fraction numerator 21 comma 16 left parenthesis 2 right parenthesis over denominator 21 comma 16 minus 2 end fraction s subscript o b end subscript equals fraction numerator 42 comma 32 over denominator 19 comma 16 end fraction equals 2 comma 21 space cm end style

begin mathsize 14px style M subscript o b end subscript equals fraction numerator s apostrophe subscript o b end subscript over denominator s subscript o b end subscript end fraction M subscript o b end subscript equals fraction numerator 21 comma 16 over denominator 2 comma 21 end fraction M subscript o b end subscript equals 9 comma 57 space kali end style

Perbesaran total mikroskop:

begin mathsize 14px style M subscript t o t end subscript equals M subscript o b end subscript cross times M subscript o k end subscript M subscript t o t end subscript equals 9 comma 57 cross times 5 comma 17 M subscript t o t end subscript equals 49 comma 48 space kali almost equal to 49 comma 5 space kali end style

Jadi, perbesaran total mikroskop yaitu 49,5 kali.undefined 

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