A beam of white light is incident on a tri-angular glass prism with an index of

Question

A beam of white light is incident on a tri-angular glass prism with an index of refraction of about 1.5 for visible light, producing a spectrum. Initially, the prism is in a glass aquarium filled with air, as shown. If the aquarium is filled with water with an index of refraction of 1.3, which of the following is true? The spectrum produced has greater separation between red and violet than that produced in air. No spectrum is produced. The spectrum has the same separation between red and violet as that produced in air. A spectrum is produced, but the deviation of the beam is opposite to that in air. The spectrum produced has less separation between red and violet than that produced in air. The position of red and violet are reversed in the spectrum. A concave mirror with a radius of curvature of 1.0 m is used to collect light from a distant star. What is the distance between the mirror and the image of the star? d = 0.50 m d = 0.25 m d = 2.0 m d = 0.75 m d = 1.0 m Consider a concave mirror with radius R. An upright object is placed in between the interval R/2 and R. The image is real, inverted, reduced. real, upright, same size. virtual, upright, same size. real, upright, reduced. virtual, upright, reduced. real, inverted, enlarged. virtual, inverted, enlarged. virtual, upright, enlarged. real, upright, enlarged. virtual, inverted, reduced.

Explanation / Answer

Question 1:

Correct option is (1)

The spectrum produced has greater separation between red and violet than that produced in air. As the light refracted from desner medium ( liquid prism) to rarer medium ( air ), the light rays diverges from the normal.

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Question 2:

Correct option is (1)

In order to caught the image, the object should be at the focal length distance

f = R / 2 = 1.0 m / 2 = 0.50 m

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Question 3

From lens equation, the distnace to the image is

q =( f ) ( p ) / p - f

Here, f focal length and p os object distance

In the given case p > f , therefore the real and inverted

Magnification: M = q / p = f / ( p - f )

since f < p < 2 f, the magnification should be greater than 1 ( or ) enlarged

Thus, the final image should be real and inverted, and enlarged

Thus, the correct option ( 6 )

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