Question

At 460nm a blue filter transmits 72.7% of the light and yellow filter trasmitts 40.7% of light what is the transmitance of the save wavelength of the two filters in combination​

Answer 1

Explanation:

Given At 460 n m a blue filter transmits 72.7% of the light and yellow filter transmits 40.7% of light what is the transmittance of the same wavelength of the two filters in combination

• Consider the light to pass through blue filter and then the yellow filter. Let the initial intensity be Io, intensity after passing through blue filter be I 1 and intensity after passing through the yellow filter be I2.
• The transmittance of first filter is 0.727, so
•                                                  I 1 / Io = 0.727
• Now the transmittance of second filter is 0.407, we get
•                                           I 2 / I 1 = 0.407
• Therefore I 2 / Io = I 2 / I 1 x I 1 / Io
•                               = 0.407 x 0.727
•                              = 0.296

If filters are interchanged the result is same since multiplication is commutative.