JEE Advanced 2014 Paper 1 Physics Q2

Physics · Wave Optics

Problem

A light source, which emits two wavelengths

\lambda_1=400\,\mathrm{nm}

and

\lambda_2=600\,\mathrm{nm}

, is used in a Young's double slit experiment. If recorded fringe widths for

\lambda_1

and

\lambda_2

are

\beta_1

and

\beta_2

and the number of fringes for them within a distance

y

on one side of the central maximum are

m_1

and

m_2

, respectively, then