The diameter of the objective of a telescope is 3.6 m . The limit of resolution of the telescope for a light of wavelength 540 nm is

Young's double slit experiment is performed with monochromatic light of wavelength $6000 \mathring{A}$. If the intensity of light at a point on the screen, where path difference of $2000 \mathring{A}$ is $I_1$ and the intensity of light at a I point on the screen, where the path difference is $1000 \mathring{A}$ is $I_2$, then $I_1: I_2=$

When Young's double slit experiment is performed in air, the $Y$-coordinates of central maxima and 10 th maxima are 2 cm and 5 cm , respectively. If the apparatus is immersed in a liquid of refractive index 1.5 , the corresponding $Y$-coordinates will be