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1. A convex lens forms a real and inverted image of a needle at a distance of 50 cm from it. Where is the needle placed in front of the convex lens if the image is equal to the size of the object?

A. 25 cm B. 50 cm C. 100 cm D. 75 cm

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2. A beam of light converges at a point P. Now, a lens is placed in the path of the convergent beam 12 cm from P. At what point does the beam converge if the lens is a convex lens of focal length 20 cm?

A. 30 cm from the lens B. 60 cm from the lens C. 12 cm from the lens D. 24 cm from the lens

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3. A concave mirror produces a real image twice the size of the object. If the object is placed 15 cm in front of the mirror, what is the focal length of the mirror?

A. 10 cm B. 15 cm C. 20 cm D. 30 cm

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4. In Young's double-slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths, 12000 Å and 10000 Å. What is the minimum distance from the common central bright fringe on a screen 2 m from the slits where a bright fringe from one interference pattern coincides with a bright fringe from the other?

A. 1.2 mm B. 2.4 mm C. 3.0 mm D. 4.0 mm

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5. A ray of light is incident on a 60° prism at the minimum deviation angle. The refracted ray inside the prism is parallel to the base of the prism. If the refractive index of the material of the prism is √2, what is the angle of incidence?

A. 30° B. 45° C. 60° D. 75°

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6. A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length 10 cm. What is the power of the combination?

A. +10 D B. -10 D C. +5 D D. -5 D

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7. In a compound microscope, the objective and eyepiece have focal lengths of 1 cm and 2 cm, respectively. The object is placed 1.2 cm from the objective lens. What is the magnifying power of the microscope?

A. 50 B. 100 C. 150 D. 200

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8. A beam of unpolarized light passes through a polaroid. What is the intensity of the transmitted light?

A. Half of the incident intensity B. Same as the incident intensity C. Double the incident intensity D. Zero

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9. The refractive index of a medium is √3. What is the angle of incidence for which the reflected light is completely polarized?

A. 30° B. 45° C. 60° D. 75°

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10. In a single-slit diffraction experiment, the width of the central maximum is found to be 0.5 mm. If the slit width is doubled, what will be the width of the central maximum?

A. 0.25 mm B. 0.5 mm C. 1.0 mm D. 2.0 mm

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11. A convex mirror has a focal length of 15 cm. An object is placed 10 cm in front of the mirror. What is the position of the image?

A. 6 cm behind the mirror B. 10 cm behind the mirror C. 15 cm behind the mirror D. 30 cm behind the mirror

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12. In a double-slit experiment, the separation between the slits is 0.5 mm, and the wavelength of light used is 600 nm. What is the angular width of the fringe?

A. 0.12° B. 0.24° C. 0.36° D. 0.48°

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13. A lens has a power of +2.5 D. What is the focal length of the lens?

A. 25 cm B. 40 cm C. 50 cm D. 100 cm

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14. The critical angle for total internal reflection at a glass-air interface is 45°. What is the refractive index of the glass?

A. 1.41 B. 1.5 C. 1.33 D. 2.0

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15. In Young's double-slit experiment, the fringe width is 0.4 mm. If the wavelength of light used is doubled and the distance between the slits is halved, what will be the new fringe width?

A. 0.1 mm B. 0.2 mm C. 0.8 mm D. 1.6 mm

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16. A concave lens has a focal length of 20 cm. What is its power?

A. +5 D B. -5 D C. +2.5 D D. -2.5 D

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17. A ray of light passes from air into a medium with a refractive index of 1.5. If the angle of incidence is 30°, what is the angle of refraction?

A. 19.47° B. 25.00° C. 30.00° D. 35.26°

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18. In a single-slit diffraction experiment, the first minimum is observed at an angle θ when light of wavelength λ is incident on the slit. What is the condition for the first minimum?

A. a sin θ = λ B. a sin θ = 2λ C. a cos θ = λ D. a tan θ = λ

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19. A convex lens is placed in contact with a plane mirror. An object is placed on the principal axis at a distance of 20 cm from the lens. The focal length of the lens is 10 cm. What is the distance between the object and its image?

A. 20 cm B. 40 cm C. 60 cm D. 80 cm

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20. In a compound microscope, the objective and eyepiece have focal lengths of 1 cm and 5 cm, respectively. The distance between the lenses is 20 cm. What is the magnifying power of the microscope?

A. 100 B. 200 C. 300 D. 400