TS EAMCET · Physics · Ray Optics
Let \(S_1\) be the amount of Rayleigh scattered light of wavelength \(\lambda_1\) and \(S_2\) that of light of wavelength \(\lambda_2\) from a particle of size \(a\). Which of the following statement is true?
- A \(\frac{S_1}{S_2}=\left(\frac{\lambda_2}{\lambda_1}\right)^4\), if \(\lambda_1, \lambda_2>a\)
- B \(\frac{S_1}{S_2}=\left(\frac{\lambda_1}{\lambda_2}\right)^4\), if \(\lambda_1, \lambda_2 \gg a\)
- C \(\frac{S_1}{S_2}=\left(\frac{\lambda_2}{\lambda_1}\right)^4\), if \(\lambda_1, \lambda_2 \ll a\)
- D \(\frac{S_1}{S_2}=\left(\frac{\lambda_1}{\lambda_2}\right)^4\), if \(\lambda_1, \lambda_2 \ll a\)
Answer & Solution
Correct Answer
(A) \(\frac{S_1}{S_2}=\left(\frac{\lambda_2}{\lambda_1}\right)^4\), if \(\lambda_1, \lambda_2>a\)
Step-by-step Solution
Detailed explanation
Condition for scattering is \[ \lambda>>a \] and according to Rayleigh, intensity (or amount) of scattered wavelength is inversely proportional to fourth power of the wavelength of incident wave, i.e.…
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