Question #317732

In Newton’s rings experiment using light of two wavelengths , it is observed that 10 th order bright ring corresponding to wavelength 1 coincides with 15 th order dark ring corresponding to wavelength λ₂ when viewed by reflected light. Find the ratio of λ1 and λ₂


1
Expert's answer
2022-03-24T16:37:12-0400

r1=m1Rλ1n,r_1=\sqrt{\frac{m_1R\lambda_1}{n}},

r2=m2Rλ22n,r_2=\sqrt{\frac{m_2R\lambda_2}{2n}},

r1=r2,r_1=r_2,

λ1λ2=m2m1=1.5.\frac{\lambda_1}{\lambda_2}=\frac{m_2}{m_1}=1.5.


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