A laser impinges on a thin film (12, = 2) sandwiched by two materials (₁<<₂). The top material (2₁) is relatively thick. The laser can take on wavelength A values from 500 [nm] to 2000 [nm]. Within this range, constructive interference occurs only for two wavelength values, 500 [nm] and another wavelength. The respective orders of the wavelengths do not differ by more than one. How thick is the thin film? [Hint: First determine the constraints on the order corresponding to A = 500 [nm].] n₁ nf m OA. 125 [nm] OB. 250 [nm] O C. 375 [nm] OD. 1000 [nm]

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A laser impinges on a thin film (n = 2) sandwiched by two materials (n₁ <<n< n₂). The top material (₁) is relatively thick. The laser can take on wavelength A values from 500 [nm] to
2000 [nm]. Within this range, constructive interference occurs only for two wavelength values, 500 [nm] and another wavelength. The respective orders of the wavelengths do not differ by more than one. How thick is the
thin film? [Hint: First determine the constraints on the order corresponding to Xo = 500 [nm].]
n₁
nf
O A. 125 [nm]
O B. 250 [nm]
O C. 375 [nm]
O D. 1000 [nm]
12
Transcribed Image Text:A laser impinges on a thin film (n = 2) sandwiched by two materials (n₁ <<n< n₂). The top material (₁) is relatively thick. The laser can take on wavelength A values from 500 [nm] to 2000 [nm]. Within this range, constructive interference occurs only for two wavelength values, 500 [nm] and another wavelength. The respective orders of the wavelengths do not differ by more than one. How thick is the thin film? [Hint: First determine the constraints on the order corresponding to Xo = 500 [nm].] n₁ nf O A. 125 [nm] O B. 250 [nm] O C. 375 [nm] O D. 1000 [nm] 12
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