Seberkas sinar monokromatik dengan panjang gelombang 600 nm dijatuhkan tegak lurus pada lapisan tipis sabun yang memiliki indeks bias 1,2. Agar terjadi interferensi minimum kedua, tebal lapisan air sabun adalah ….

Seberkas sinar monokromatik dengan panjang gelombang 600 nm dijatuhkan tegak lurus pada lapisan tipis sabun yang memiliki indeks bias 1,2. Agar terjadi interferensi minimum kedua, tebal lapisan air sabun adalah ….
a. 7,5 x 10^-4 mm
b. 5,0 x 10^-4 mm
c. 2,5 x 10^-4 mm
d. 1,25 x 10^-4 mm
e. 6,25 x 10^-3 mm

Jawaban yang tepat untuk pertanyaan di atas adalah B. 5 x 10⁻⁴ mm.

Diketahui:
λ = 600 nm = 6 x 10⁻⁷ m
n = 1,2
d = 1,2 mm = 12 x 10⁻⁴ m
interferensi minimum kedua → m = 2
Ditanya: d = ?
Pembahasan:
Interferensi pada lapisan tipis (lapisan sabun) akan menghasilkan warna-warni di permukaan lapisan tersebut. Persamaan interferensi pada lapisan tipis yang disinari cahaya tegak lurus adalah:
2nd = mλ
dimana:
n = indeks bias
d = tebal lapisan tipis (m)
m = orde cahaya
λ = panjang gelombang (m)

Sehingga tebal lapisan tipis tersebut adalah:
d = mλ / 2n
d = (2 . 6 x 10⁻⁷) / (2 . 1,2)
d = 5 x 10⁻⁷ m
d = 5 x 10⁻⁴ mm

Jadi, tebal lapisan air sabun adalah 5 x 10⁻⁴ mm.

Dengan demikian, jawaban yang tepat adalah B.

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