365080
The angle of prism is \({5^{\circ}}\) and its refractive indices for red and violet colours are 1.5 and 1.6 respectively. The angular dispersion produced by the prism is
1 \({7.75^{\circ}}\)
2 \({0.5^{\circ}}\)
3 \({5.8^{\circ}}\)
4 \({0.17^{\circ}}\)
Explanation:
Given, \({\mu_{R}=1.5, \mu_{V}=1.6, A=5^{\circ}}\) Angular dispersion \({\omega=\left(\mu_{V}-\mu_{R}\right) A}\)\(=(1.6-1.5) \times 5^{\circ}=0.1 \times 5^{\circ}\) \({\omega=0.5^{\circ}}\). So correct option is (2)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365081
A beam of light consisting of red, green and blue colours is incident on a right angled prism as shown in figure. The refractive indices of the material of prism for red, green and blue colours respectively are \(1.33,1.44,1.47\). The prism will
1 Separate part of blue colour from red and green colour
2 Separate all the three colours from one another
3 Separate part of the red colour from green and blue colours
4 Not separate even partially any colour from the other two colours.
Explanation:
For \(i>i_{C}\), as all rays incident at \(45^{\circ}\) on face \(A C\). \({\rm{So}},\sin \,\,45^\circ > \sin {i_C}\) \( \Rightarrow \sin \,\,45^\circ > \frac{1}{\mu } \Rightarrow \frac{1}{{\sqrt 2 }} > \frac{1}{\mu } \Rightarrow \mu > \sqrt 2 \) \({\rm{or}}\,\,\mu > 1.41\) The deviation for red in comparison to other colour is less, whereas deviation for green and blue are nearly same so, prism will separate part of red colour from green and blue colours.
AIIMS - 2009
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365082
Which one of the following is not associated with the total internal reflection?
1 The mirage formation
2 Optical fibre communication
3 The glittering of diamond
4 Dispersion of light
Explanation:
Dispersion of light is not associated with total internal reflection.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365083
Assertion : There is no dispersion of light refracted through a rectangular glass slab. Reason : Dispersion of light is the phenomenon of splitting of a beam of white light into its constituent colours.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
There is no dispersion of light refracted through a rectangular glass slab. This is correct. When light passes through a rectangular glass slab, it undergoes refraction but does not disperse into its constituent colors. Instead, it remains as a single beam. Dispersion of light as the phenomenon of splitting a beam of white light into its constituent colors. While this is an accurate definition of dispersion, it doesn't explain why there is no dispersion in the case of a rectangular glass slab. The absence of dispersion in a rectangular glass slab is due to the fact that the different colors of light experience the same amount of deviation when passing through the slab, so they emerge parallel to each other and are not separated. So, both the Assertion and Reason are correct, but the Reason does not provide the correct explanation for the phenomenon described in the Assertion.
365080
The angle of prism is \({5^{\circ}}\) and its refractive indices for red and violet colours are 1.5 and 1.6 respectively. The angular dispersion produced by the prism is
1 \({7.75^{\circ}}\)
2 \({0.5^{\circ}}\)
3 \({5.8^{\circ}}\)
4 \({0.17^{\circ}}\)
Explanation:
Given, \({\mu_{R}=1.5, \mu_{V}=1.6, A=5^{\circ}}\) Angular dispersion \({\omega=\left(\mu_{V}-\mu_{R}\right) A}\)\(=(1.6-1.5) \times 5^{\circ}=0.1 \times 5^{\circ}\) \({\omega=0.5^{\circ}}\). So correct option is (2)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365081
A beam of light consisting of red, green and blue colours is incident on a right angled prism as shown in figure. The refractive indices of the material of prism for red, green and blue colours respectively are \(1.33,1.44,1.47\). The prism will
1 Separate part of blue colour from red and green colour
2 Separate all the three colours from one another
3 Separate part of the red colour from green and blue colours
4 Not separate even partially any colour from the other two colours.
Explanation:
For \(i>i_{C}\), as all rays incident at \(45^{\circ}\) on face \(A C\). \({\rm{So}},\sin \,\,45^\circ > \sin {i_C}\) \( \Rightarrow \sin \,\,45^\circ > \frac{1}{\mu } \Rightarrow \frac{1}{{\sqrt 2 }} > \frac{1}{\mu } \Rightarrow \mu > \sqrt 2 \) \({\rm{or}}\,\,\mu > 1.41\) The deviation for red in comparison to other colour is less, whereas deviation for green and blue are nearly same so, prism will separate part of red colour from green and blue colours.
AIIMS - 2009
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365082
Which one of the following is not associated with the total internal reflection?
1 The mirage formation
2 Optical fibre communication
3 The glittering of diamond
4 Dispersion of light
Explanation:
Dispersion of light is not associated with total internal reflection.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365083
Assertion : There is no dispersion of light refracted through a rectangular glass slab. Reason : Dispersion of light is the phenomenon of splitting of a beam of white light into its constituent colours.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
There is no dispersion of light refracted through a rectangular glass slab. This is correct. When light passes through a rectangular glass slab, it undergoes refraction but does not disperse into its constituent colors. Instead, it remains as a single beam. Dispersion of light as the phenomenon of splitting a beam of white light into its constituent colors. While this is an accurate definition of dispersion, it doesn't explain why there is no dispersion in the case of a rectangular glass slab. The absence of dispersion in a rectangular glass slab is due to the fact that the different colors of light experience the same amount of deviation when passing through the slab, so they emerge parallel to each other and are not separated. So, both the Assertion and Reason are correct, but the Reason does not provide the correct explanation for the phenomenon described in the Assertion.
365080
The angle of prism is \({5^{\circ}}\) and its refractive indices for red and violet colours are 1.5 and 1.6 respectively. The angular dispersion produced by the prism is
1 \({7.75^{\circ}}\)
2 \({0.5^{\circ}}\)
3 \({5.8^{\circ}}\)
4 \({0.17^{\circ}}\)
Explanation:
Given, \({\mu_{R}=1.5, \mu_{V}=1.6, A=5^{\circ}}\) Angular dispersion \({\omega=\left(\mu_{V}-\mu_{R}\right) A}\)\(=(1.6-1.5) \times 5^{\circ}=0.1 \times 5^{\circ}\) \({\omega=0.5^{\circ}}\). So correct option is (2)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365081
A beam of light consisting of red, green and blue colours is incident on a right angled prism as shown in figure. The refractive indices of the material of prism for red, green and blue colours respectively are \(1.33,1.44,1.47\). The prism will
1 Separate part of blue colour from red and green colour
2 Separate all the three colours from one another
3 Separate part of the red colour from green and blue colours
4 Not separate even partially any colour from the other two colours.
Explanation:
For \(i>i_{C}\), as all rays incident at \(45^{\circ}\) on face \(A C\). \({\rm{So}},\sin \,\,45^\circ > \sin {i_C}\) \( \Rightarrow \sin \,\,45^\circ > \frac{1}{\mu } \Rightarrow \frac{1}{{\sqrt 2 }} > \frac{1}{\mu } \Rightarrow \mu > \sqrt 2 \) \({\rm{or}}\,\,\mu > 1.41\) The deviation for red in comparison to other colour is less, whereas deviation for green and blue are nearly same so, prism will separate part of red colour from green and blue colours.
AIIMS - 2009
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365082
Which one of the following is not associated with the total internal reflection?
1 The mirage formation
2 Optical fibre communication
3 The glittering of diamond
4 Dispersion of light
Explanation:
Dispersion of light is not associated with total internal reflection.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365083
Assertion : There is no dispersion of light refracted through a rectangular glass slab. Reason : Dispersion of light is the phenomenon of splitting of a beam of white light into its constituent colours.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
There is no dispersion of light refracted through a rectangular glass slab. This is correct. When light passes through a rectangular glass slab, it undergoes refraction but does not disperse into its constituent colors. Instead, it remains as a single beam. Dispersion of light as the phenomenon of splitting a beam of white light into its constituent colors. While this is an accurate definition of dispersion, it doesn't explain why there is no dispersion in the case of a rectangular glass slab. The absence of dispersion in a rectangular glass slab is due to the fact that the different colors of light experience the same amount of deviation when passing through the slab, so they emerge parallel to each other and are not separated. So, both the Assertion and Reason are correct, but the Reason does not provide the correct explanation for the phenomenon described in the Assertion.
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PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365080
The angle of prism is \({5^{\circ}}\) and its refractive indices for red and violet colours are 1.5 and 1.6 respectively. The angular dispersion produced by the prism is
1 \({7.75^{\circ}}\)
2 \({0.5^{\circ}}\)
3 \({5.8^{\circ}}\)
4 \({0.17^{\circ}}\)
Explanation:
Given, \({\mu_{R}=1.5, \mu_{V}=1.6, A=5^{\circ}}\) Angular dispersion \({\omega=\left(\mu_{V}-\mu_{R}\right) A}\)\(=(1.6-1.5) \times 5^{\circ}=0.1 \times 5^{\circ}\) \({\omega=0.5^{\circ}}\). So correct option is (2)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365081
A beam of light consisting of red, green and blue colours is incident on a right angled prism as shown in figure. The refractive indices of the material of prism for red, green and blue colours respectively are \(1.33,1.44,1.47\). The prism will
1 Separate part of blue colour from red and green colour
2 Separate all the three colours from one another
3 Separate part of the red colour from green and blue colours
4 Not separate even partially any colour from the other two colours.
Explanation:
For \(i>i_{C}\), as all rays incident at \(45^{\circ}\) on face \(A C\). \({\rm{So}},\sin \,\,45^\circ > \sin {i_C}\) \( \Rightarrow \sin \,\,45^\circ > \frac{1}{\mu } \Rightarrow \frac{1}{{\sqrt 2 }} > \frac{1}{\mu } \Rightarrow \mu > \sqrt 2 \) \({\rm{or}}\,\,\mu > 1.41\) The deviation for red in comparison to other colour is less, whereas deviation for green and blue are nearly same so, prism will separate part of red colour from green and blue colours.
AIIMS - 2009
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365082
Which one of the following is not associated with the total internal reflection?
1 The mirage formation
2 Optical fibre communication
3 The glittering of diamond
4 Dispersion of light
Explanation:
Dispersion of light is not associated with total internal reflection.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365083
Assertion : There is no dispersion of light refracted through a rectangular glass slab. Reason : Dispersion of light is the phenomenon of splitting of a beam of white light into its constituent colours.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
There is no dispersion of light refracted through a rectangular glass slab. This is correct. When light passes through a rectangular glass slab, it undergoes refraction but does not disperse into its constituent colors. Instead, it remains as a single beam. Dispersion of light as the phenomenon of splitting a beam of white light into its constituent colors. While this is an accurate definition of dispersion, it doesn't explain why there is no dispersion in the case of a rectangular glass slab. The absence of dispersion in a rectangular glass slab is due to the fact that the different colors of light experience the same amount of deviation when passing through the slab, so they emerge parallel to each other and are not separated. So, both the Assertion and Reason are correct, but the Reason does not provide the correct explanation for the phenomenon described in the Assertion.
