Wave Optics question bank (Physics)

Two point white dots are $1 \mathrm{mm}$ apart on a black paper. They are viewed by an eye of pupil diameter $3 \mathrm{mm}$. Approximately, what is the maximum distance at which these dots can be resolved by the eye? [Take wavelength of light = $500 \mathrm{nm}$]

A source and a detector both start moving simultaneously from the position shown in the figure, one along $x$-axis and the other along $y$-axis with speeds $40 \mathrm{m} {\mathrm{s}}^{-1}$ and $30 \mathrm{m} {\mathrm{s}}^{-1}$ respectively. If $n$ is the frequency of the source then the graph between the apparent frequency $n\text{'}$ observed by detector and time $t$ would be [assume that source and detector do not collide]

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