The image of an extended object, placed perpendicular to the principal axis of a mirror, will be erect if

When light is incident on a medium at angle $i$ and refracted into a second medium at an angle $r$, the graph of $\sin \left(i\right)$ verses $\sin \left(r\right)$ is shown. From this, one can conclude that

Figure shows a container of width $H.$ A telescope is fitted at a height $H$ above the base on its side wall such that it is focussed at the point $A$ as shown. Now aliquid is poured slowly in the container. The refractive index of liquid is $\mu =\sqrt{2}.$ Select the correctalternatives

An object $O$ between two parallel (vertical) plane mirrors is approaching plane mirror $M_1$ as shown. If $V_1, V_2$ denote the magnitude of relative velocity of image with respect to object in mirror $M_1, M_2$ respectively and $V_{1, 2}$ denotes relative velocity of approach of the images formed due to direct reflection by each mirror, then

A beaker of radius $r$ is filled with water$\left(\text{refractive index} \frac{4}{3}\right)$ up to a height $H$ as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed $\omega$. This makes the water surface curved so that the difference in the height of water level at the centre and at the circumference of the beaker is $h\left(h\ll H\text{,} h\ll r\right)$, as shown in the figure on the right. Take this surface to be approximately spherical with a radius of curvature $R.$ Which of the following is/are correct? ($g$ is the acceleration due to gravity)

The first focal length $f_1$ for refraction at a spherical surface is defined as the value of $u$ corresponding to $v=\infty$ (as shown) with refractive indices of two mediums as $n_1$ and $n_2$. The second focal length $f_2$ is defined as value of $v$ for $u=\infty$ (where $R$ is the radius of the curved surface). Choose the correct option(s).

Mark the correct options.

Which of the following quantities related to a lens depend on the wavelength or wavelengths of the incident light?