Question
A light source, which emits two wavelengths $\lambda_1=400 \ nm$ and $\lambda_2=600 \ nm$, 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
$(A)$ $\beta_2>\beta_1$
$(B)$ $m_1>m_2$
$(C)$ From the central maximum, $3^{\text {rd }}$ maximum of $\lambda_2$ overlaps with $5^{\text {th }}$ minimum of $\lambda_1$
$(D)$ The angular separation of fringes for $\lambda_1$ is greater than $\lambda_2$
