A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle $\theta$, the spot of light is found to move through a distance y on the scale. The angle $\theta$ is given by

(a) $\frac{y}{2x}$

(b) $\frac{y}{x}$

(c) $\frac{x}{2y}$

(d) $\frac{x}{y}$

Concept Questions :-

Reflection at plane surface
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The ratio of resolving powers of an optical microscope for two wavelengths  is

(a) 8:27

(b) 9:4

(c) 3:2

(d) 16:81

Concept Questions :-

Resolution of Optical devices
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Two identical glass $\left({\mu }_{g}=3/2\right)$ equi-convex lenses of focal length $f$ each are kept in contact. The space between the two lenses is filled with water $\left({\mu }_{w}=4/3\right)$. The focal length of the combination is

(a)  $f/3$             (b) $f$

(c) $\frac{4f}{3}$               (d) $\frac{3f}{4}$

Concept Questions :-

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

(a) 8           (b) 10

(c) 12         (d) 16

Concept Questions :-

Refraction at plane surface
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A person can see clearly objects only when they lie between 50 cm and 400 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

(a) convex, +2.25 diopter

(b) concave, - 0.25 diopter

(c) concave, - 0.2 diopter

(d) convex, + 0.15 diopter

Concept Questions :-

Human eye
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An astronomical telescope has an 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 of :
(a) 46.0 cm (b) 50.0 cm
(c) 54.0 cm (d) 37.3 cm

Concept Questions :-

Telescope
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Difficulty Level:

Match the corresponding entries of Column 1 with Column 2. [Where m is the magnification produced by the mirror]

Column 1                         Column 2
A. m=-2                     a. Convex mirror
B. m=-1/2                  b. Concave mirror
C. m=+2                    c. Real image
D. m=+1/2                 d. Virtual Image

(a)A->a and c;B->a and d; C->a and b; D->c and d
(b)A->a and d; B->b and c; C->b and d; D-> b and c
(c)A->c and d; B->b and d;C->b and c;D->a and d
(d)A->b and c; B->b and c; C->b and d; D->a and d

Concept Questions :-

Reflection at spherical surface
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Difficulty Level:

The angle of incidence for a ray of light at a refracting surface of a prism is 45°. The angle of prism is 60°. If the ray suffers minimum deviation through the prism, the angle of deviation and refracting index of the material of the prism respectively are

(a)30°,$\sqrt{2}$

(b)45°,$\sqrt{2}$

(c)30°,$\frac{1}{\sqrt{2}}$

(d)45°,$\frac{1}{\sqrt{2}}$

Concept Questions :-

Prisms
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Difficulty Level:

Concept Questions :-

Prisms
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In an astronomical telescope in normal adjustment a straight black line of length L is drawn on inside part of the objective lens. The eye-piece forms a real image of this line. The length of this image is l. The magnification of the telescope is:

(a)L/l+1

(b)L/l-1

(c)L+1/L-1

(d)L/l

Concept Questions :-

Telescope