The image formed by an objective lens of a compound microscope is
If $r$ and $r^1$ denotes the angles inside the prism having angle of prism $50^{\circ}$ considering that during interval of time from $t=0$ to $t=t, r$ varies with time as $r=10^{\circ}+t^2$. During the time $r^1$ will vary with time as
In determining the refractive index of a glass slab using a travelling microscope, the following readings are tabulated
(a) Reading of travelling microscope for ink mark $=5.123 \mathrm{~cm}$
(b) Reading of travelling microscope for ink mark through glass slab $=6.123 \mathrm{~cm}$
(c) Reading of travelling microscope for chalk dust on glass slab $=8.123 \mathrm{~cm}$
From the data, the refractive index of a glass slab is
The final image formed by an astronomical telescope is