NEET UG 2016 — Optics

A person can see clearly object only when they lie between $50\mathrm{cm}$ to $400\mathrm{cm}$ from his eyes. In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use, will be

The interference pattern is obtained with two coherent light sources of intensity ratio, $n$. In the interference pattern, the ratio, $\frac{{I}_{\mathrm{max}}-{I}_{\mathrm{min}}}{{I}_{\mathrm{max}}+{I}_{\mathrm{min}}}$ will be

In a diffraction pattern due to a single slit of width $a$ the first minimum is observed at an angle ${30}^{o}$ when light of wavelength $5000 Å$ is incident on the slit. The first secondary maximum is observed at an angle of:

The intensity at the maximum in a Young's double slit experiment is ${I}_{0}$. Distance between two slits is $d=5\lambda$, where $\lambda$ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance $D=10d$?

Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror]<table class="pyq-table"><tbody><tr><td></td><td>Column 1</td><td></td><td>Column 2</td></tr><tr><td>(A)</td><td>$m=-2$</td><td>(a)</td><td>Convex mirror</td></tr><tr><td>(B)</td><td>$m=-\frac{1}{2}$</td><td>(b)</td><td>Concave mirror</td></tr><tr><td>(C)</td><td>$m=+2$</td><td>(c)</td><td>Real image</td></tr><tr><td>(D)</td><td>$m=+\frac{1}{2}$</td><td>(d)</td><td>Virtual image</td></tr></tbody></table>

The angle of incidence for a ray of light at a refracting surface of a prism is ${45}^{o}$. The angle of prism is ${60}^{o}$. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are:

A astronomical telescope has objective and eyepiece of focal lengths $40 cm$ and $4 cm$ respectively. To view an object $200 cm$ away from the objective, the lenses must be separated by a distance:

An air bubble in a glass slab with refractive index $1.5$ (near-normal incidence) is $5\mathrm{cm}$ deep when viewed from one surface and $3\mathrm{cm}$ deep when viewed from the opposite face. The thickness (in $\mathrm{cm}$) of the slab is

A linear aperture whose width is $0.02 cm$ is placed immediately in front of a lens of focal length $60 cm.$ The aperture is illuminated normally by a parallel beam of wavelength $5\times {10}^{-5} cm$. The distance of the first dark band of the diffraction pattern from the centre of the screen is

Two identical glass $({\mu }_{g}=\frac{3}{2})$ equiconvex lenses of focal length, $f$ are kept in contact. The space between the two lenses is filled with water $({\mu }_{w}=\frac{4}{3})$. The focal length of the combination is