Explanation Given: The wavelengths of light that transmitted is 700 nm and 500 nm . The wavelength 500 nm corresponds to green color and 700 nm corresponds to red color. The refractive index of oil is 1.45 . Formula used: Write the expression for the condition of constructive interface. 2 n t = ( m + 1 2 ) λ Here, n is the refractive index, t is the thickness of oil film, m is the order of spectrum and λ is the wavelength of incident light. Rearrange the above equation for t . t = λ 2 n ( m + 1 2 ) ...... (1) Write the above equation in form of wavelength of redcolor. 2 n t = λ r ( m + 1 2 ) ...... (2) Write the above equation in form of wavelength of green color which is in next interface. 2 n t = λ g ( m + 3 2 ) ...... (3) Divide equation (2) by equation (3). 1 = λ r ( m + 1 2 ) λ g ( m + 3 2 ) Rearrange the above equation for λ g λ r . ( m + 1 2 ) ( m + 3 2 ) = λ g λ r ...... (4) Here, λ g is the wavelength of green color, λ r is the wavelength of red color and m is the order of spectrum

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Chapter 33, Problem 30P

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The thickness of oil film that floats on water.

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Chapter 33, Problem 29P

Chapter 33, Problem 31P

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