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Choose the correct option.
Consider the following phenomena/ applications: P) Mirage, Q) rainbow, R) Optical fibre and S) glittering of a diamond. Total internal reflection is involved in
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A spherical marble, of refractive index 1.5 and curvature 1.5 cm, contains a tiny air bubble at its centre. Where will it appear when seen from outside?
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Choose the correct option.
Select the WRONG statement.
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Choose the correct option.
Angles of deviation for extreme colours are given for different prisms. Select the one having maximum dispersive power of its material.
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Which of the following is not involved in formation of a rainbow?
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Explain ‘mirage’ as an illustration of refraction.
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Answer the following question.
Under what conditions are total internal reflection possible? Explain it with a suitable example.
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Answer the following question.
Define the critical angle of incidence and obtain an expression for it.
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Describe the construction and working of an optical fibre.
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Answer the following question.
What are the advantages of optical fibre communication over electronic communication?
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Answer the following question.
Why is prism binoculars preferred over traditional binoculars? Describe its working in brief.
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Solve Numerical example.
A monochromatic ray of light is incident at 37° on an equilateral prism of refractive index 3/2. Determine angle of emergence and angle of deviation. If angle of prism is adjustable, what should its value be for emergent rays to be just possible for the same angle of incidence?
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Solve Numerical example.
From the given data set, determine angular dispersion by the prism and dispersive power of its material for extreme colours. nR = 1.62 nV = 1.66, δR = 3.1°
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Answer the following question.
Show that `vec"a" = (hat"i" - hat"j")/sqrt2` is a unit vector.
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Answer the following question.
If `vec"v"_1 = 3hat"i" + 4hat"j" + hat"k" and vec"v"_2 = hat"i" - hat"j" - hat"k"`, determine the magnitude of `vec"v"_1 + vec"v"_2`.
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For `vec v_1 = 2 hat i - 3 hat j` and `vec v_2 = -6hat i + 5 hat j`, determine the magnitude and direction of `vec v_1 + vec v_2`.
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Find a vector which is parallel to `vec"v" = hat"i" - 2hat"j"` and has a magnitude 10.
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Show that vectors `vec a = 2 hat i + 5 hat j - 6 hat k` and `vec b = hat i + 5/2 hat j - 3 hat k` are parallel.
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Determine `veca xx vecb`, given `veca = 2hati + 3hatj and vecb = 3hati + 5hatj`.
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