365106
A ray falls on a prism \(ABC\,(AB = BC)\) and travels as shown in figure. The least value of refractive index of material of the prism, should be
1 1.5
2 \(\sqrt{2}\)
3 1.33
4 \(\sqrt{3}\)
Explanation:
The given prism is a right angled prism and angle \(\angle L M N=45^{\circ}\). Since, the ray is suffering total internal reflection and the critical angle is the angle of incidence in the denser medium for which the angle of redfraction in the rarer medium is \(90^{\circ}\), \(i.e.\) \(C=45^{\circ}\) and \(\mu = \frac{1}{{\sin {\kern 1pt} C}} = \frac{1}{{\sin \,{{45}^ \circ }}} = \sqrt {2.} \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365107
A ray of light suffers a minimum deviation when incident on an equilateral prism of refractive index \(\sqrt 2 \). The angle of incidence is
365108
A parallel beam of light is incident on a prism angle \(A\) as shown in the figure. Find the angle \(\theta \) between the two reflected beams \({R_1}\) and \({R_2}\) from two faces as shown.
1 \(3A\)
2 \(4A\)
3 \(2A\)
4 None of these
Explanation:
The incident and reflected rays are The angle between the two reflected rays is equal to 2A.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365109
Find the value of the angle of emergence from the prism. Refractive index of the glass is \(\sqrt 3 \)
1 30°
2 45°
3 90°
4 60°
Explanation:
From snell’s law \(\sqrt 3 \sin 30^\circ = 1\)\({\rm{sin (e)}}\) \(\frac{{\sqrt 3 }}{2} = \sin e\; \Rightarrow e = 60^\circ \)
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PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365106
A ray falls on a prism \(ABC\,(AB = BC)\) and travels as shown in figure. The least value of refractive index of material of the prism, should be
1 1.5
2 \(\sqrt{2}\)
3 1.33
4 \(\sqrt{3}\)
Explanation:
The given prism is a right angled prism and angle \(\angle L M N=45^{\circ}\). Since, the ray is suffering total internal reflection and the critical angle is the angle of incidence in the denser medium for which the angle of redfraction in the rarer medium is \(90^{\circ}\), \(i.e.\) \(C=45^{\circ}\) and \(\mu = \frac{1}{{\sin {\kern 1pt} C}} = \frac{1}{{\sin \,{{45}^ \circ }}} = \sqrt {2.} \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365107
A ray of light suffers a minimum deviation when incident on an equilateral prism of refractive index \(\sqrt 2 \). The angle of incidence is
365108
A parallel beam of light is incident on a prism angle \(A\) as shown in the figure. Find the angle \(\theta \) between the two reflected beams \({R_1}\) and \({R_2}\) from two faces as shown.
1 \(3A\)
2 \(4A\)
3 \(2A\)
4 None of these
Explanation:
The incident and reflected rays are The angle between the two reflected rays is equal to 2A.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365109
Find the value of the angle of emergence from the prism. Refractive index of the glass is \(\sqrt 3 \)
1 30°
2 45°
3 90°
4 60°
Explanation:
From snell’s law \(\sqrt 3 \sin 30^\circ = 1\)\({\rm{sin (e)}}\) \(\frac{{\sqrt 3 }}{2} = \sin e\; \Rightarrow e = 60^\circ \)
365106
A ray falls on a prism \(ABC\,(AB = BC)\) and travels as shown in figure. The least value of refractive index of material of the prism, should be
1 1.5
2 \(\sqrt{2}\)
3 1.33
4 \(\sqrt{3}\)
Explanation:
The given prism is a right angled prism and angle \(\angle L M N=45^{\circ}\). Since, the ray is suffering total internal reflection and the critical angle is the angle of incidence in the denser medium for which the angle of redfraction in the rarer medium is \(90^{\circ}\), \(i.e.\) \(C=45^{\circ}\) and \(\mu = \frac{1}{{\sin {\kern 1pt} C}} = \frac{1}{{\sin \,{{45}^ \circ }}} = \sqrt {2.} \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365107
A ray of light suffers a minimum deviation when incident on an equilateral prism of refractive index \(\sqrt 2 \). The angle of incidence is
365108
A parallel beam of light is incident on a prism angle \(A\) as shown in the figure. Find the angle \(\theta \) between the two reflected beams \({R_1}\) and \({R_2}\) from two faces as shown.
1 \(3A\)
2 \(4A\)
3 \(2A\)
4 None of these
Explanation:
The incident and reflected rays are The angle between the two reflected rays is equal to 2A.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365109
Find the value of the angle of emergence from the prism. Refractive index of the glass is \(\sqrt 3 \)
1 30°
2 45°
3 90°
4 60°
Explanation:
From snell’s law \(\sqrt 3 \sin 30^\circ = 1\)\({\rm{sin (e)}}\) \(\frac{{\sqrt 3 }}{2} = \sin e\; \Rightarrow e = 60^\circ \)
365106
A ray falls on a prism \(ABC\,(AB = BC)\) and travels as shown in figure. The least value of refractive index of material of the prism, should be
1 1.5
2 \(\sqrt{2}\)
3 1.33
4 \(\sqrt{3}\)
Explanation:
The given prism is a right angled prism and angle \(\angle L M N=45^{\circ}\). Since, the ray is suffering total internal reflection and the critical angle is the angle of incidence in the denser medium for which the angle of redfraction in the rarer medium is \(90^{\circ}\), \(i.e.\) \(C=45^{\circ}\) and \(\mu = \frac{1}{{\sin {\kern 1pt} C}} = \frac{1}{{\sin \,{{45}^ \circ }}} = \sqrt {2.} \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365107
A ray of light suffers a minimum deviation when incident on an equilateral prism of refractive index \(\sqrt 2 \). The angle of incidence is
365108
A parallel beam of light is incident on a prism angle \(A\) as shown in the figure. Find the angle \(\theta \) between the two reflected beams \({R_1}\) and \({R_2}\) from two faces as shown.
1 \(3A\)
2 \(4A\)
3 \(2A\)
4 None of these
Explanation:
The incident and reflected rays are The angle between the two reflected rays is equal to 2A.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365109
Find the value of the angle of emergence from the prism. Refractive index of the glass is \(\sqrt 3 \)
1 30°
2 45°
3 90°
4 60°
Explanation:
From snell’s law \(\sqrt 3 \sin 30^\circ = 1\)\({\rm{sin (e)}}\) \(\frac{{\sqrt 3 }}{2} = \sin e\; \Rightarrow e = 60^\circ \)
