Dua celah dengan jarak 0,3 mm disinari tegak lurus. Garis terang ketiga terletak 6 mm dari garis terang pusat. Jarak celah ke layar 100 cm. Hitung jarak antar dua garis gelap berdekatan

Dua celah dengan jarak 0,3 mm disinari tegak lurus. Garis terang ketiga terletak 6 mm dari garis terang pusat. Jarak celah ke layar 100 cm. Hitung jarak antar dua garis gelap berdekatan

Jawabannya adalah 2 mm.

Interferensi celah ganda Young adalah sebuah keadaan dimana dua sumber cahaya yang koheren melewati dua celah sempit saling berpadu membentuk gelombang cahaya gabungan.

Pola interferensi maksimum (pita terang) dirumuskan dengan :
d.y/L = n.λ dengan n = 1, 2, 3, ..
keterangan
d = jarak dua celah (mm)
y = jarak antara pita terang ke-n dari terang pusat (mm)
L = jarak antara celah ke layar (mm)
λ = panjang gelombang (mm)
n = 1 → pita terang pertama
n = 2 → pita terang kedua
dan seterusnya..

Jarak antara dua pita terang atau dua pita gelap yang berdekatan dirumuskan dengan :
∆y = λL/d
dengan :
∆y = jarak antara dua pita terang atau dua pita gelap berdekatan (mm)
L = jarak celah ke layar (mm)
λ = panjang gelombang (mm)
d = jarak antar celah (mm)

Diketahui :
d = 0,3 mm
n = 3 → y = 6 mm
L = 100 cm = 100 x 10 mm = 1 x 10^3 mm

Ditanya :
∆y = …?

Pembahasan :
Panjang gelombang dihitung dengan :
d.y/L = n.λ
(0,3)(6)/(1 x 10^3) = 3.λ
λ = 6 x 10^(-4) mm

jarak antara dua garis gelap dihitung dengan :
∆y = λL/d
∆y = (6 x 10^(-4))(10^3)/0,3
∆y = 2 mm

Jadi jarak antara dua garis gelap berdekatan adalah 2 mm.

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