The minimum distance between a real object and screen such that a convex lens of focal length 20 cm can produce a real image on the screen is

1.  20 cm

2.  40 cm

3.  80 cm

4.  60 cm

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Assume that light of wavelength 7000 is coming from a star. The limit of resolution (in radian) of a telescope whose objective has a diameter of 244 cm, will be

1.

2.

3.

4.

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A biconvex lens of glass  has a radius of curvature 20cm. Which one of the following gives the correct position and nature of the image formed when an object is placed at 40cm from the lens?

1.  Real, inverted and same size

2.  real, inverted and diminished

3.  Real, inverted and enlarged

4.  Virtual, upright and enlarged

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A ray of light will suffer total internal reflection if it-

1.  goes from rare medium to denser medium

2.  Incident at less than the critical angle

3.  Strikes the interface normally

4.  incident at an angle greater than critical angles

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A converging beam of light is incident on a concave lens of focal length 30cm, in such a way that their point of intersection would lie at a height 1cm above the principal axis and at a distance of 24cm from the position of the lens if there was no lens. Find the nature of the image formed when the beam passes through the lens.

1.  Real at a distance 60cm from the lens

2.  Real at a distance 120cm from the lens

3.  Virtual at a distance 60cm from the lens

4.  Virtual at a distance 120 cm from the lens

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One face of a prism of apex angle 30$°$ is silvered and a ray of light is incident on the first face at an angle i such that it retraces its entire path after reflection from the silvered face. If the refractive index of prism material is 2, then the value of i must be -

1.  45$°$

2.  60$°$

3.  30$°$

4.  90$°$

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The focal length of a convex lens is f. An object is placed at a distance x from the focal point and a real image is formed. The linear magnification has a magnitude

1.

2.

3.

4.  $\frac{x}{f}$

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Which of the following is not due to the total internal reflection of light

1.  Brilliance of diamond

2.  Mirage on hot summer days

3.  Working of optional fiber

4.  formation of rainbow

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A ray of light incident on an equilateral prism at grazing incidence emerges from the prism at grazing emergence. Refractive index of the prism is

(1) 1.5

(2) 1.8

(3) 1.33

(4) 2

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