365054
Angle of minimum deviation for a prism of refractive index 1.5 is equal to the angle of prism. Then the angle of prism is \(\left( {\sin {{48}^0}36' = 0.75} \right)\)
365056
When a ray of light is incident normally on one refracting surface of an equilateral prism (Refractive index of the material of the prism \( = {\rm{ }}1.5)\)
1 Emerging ray is deviated by \(45^\circ \)
2 The ray undergoes total internal reflection at the second refracting surface
3 Emerging ray is deviated by \(30^\circ \)
4 Emerging ray just grazes the second refracting surface
Explanation:
Critical angle for the material of prism \(C = {\sin ^{ - 1}}\left( {\frac{1}{\mu }} \right) = {\sin ^{ - 1}}\left( {\frac{1}{{1.5}}} \right) = 42^\circ \) since angle of incidence at surface \(AB\left( {60^\circ } \right)\) is more than the critical angle \(\left( {42^\circ } \right)\) so total internal reflection takes place.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365057
The curve of angle of incidence versus angle of deviation shown has been plotted for prism. The value of refractive index of the prism used is :
1 \(\sqrt 3 \)
2 \(\frac{{\sqrt 3 }}{{\sqrt 2 }}\)
3 \(\frac{2}{{\sqrt 3 }}\)
4 \(\sqrt 2 \)
Explanation:
At minimum deviation \({\delta _{\min }} = 2i - A\) \(60^\circ = 2\left( {60^\circ } \right) - A\) \(A = 60^\circ \) The refractive index is \(1\sin i = \mu \sin r\) \(\sin 60^\circ = \mu \sin \left( {\frac{A}{2}} \right) = \mu \sin 30^\circ \) \(\mu = \sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365058
The angle of minimum deviation for a prism is 40° and the angle of the prism is 60° The angle of incidence in the position will be
365054
Angle of minimum deviation for a prism of refractive index 1.5 is equal to the angle of prism. Then the angle of prism is \(\left( {\sin {{48}^0}36' = 0.75} \right)\)
365056
When a ray of light is incident normally on one refracting surface of an equilateral prism (Refractive index of the material of the prism \( = {\rm{ }}1.5)\)
1 Emerging ray is deviated by \(45^\circ \)
2 The ray undergoes total internal reflection at the second refracting surface
3 Emerging ray is deviated by \(30^\circ \)
4 Emerging ray just grazes the second refracting surface
Explanation:
Critical angle for the material of prism \(C = {\sin ^{ - 1}}\left( {\frac{1}{\mu }} \right) = {\sin ^{ - 1}}\left( {\frac{1}{{1.5}}} \right) = 42^\circ \) since angle of incidence at surface \(AB\left( {60^\circ } \right)\) is more than the critical angle \(\left( {42^\circ } \right)\) so total internal reflection takes place.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365057
The curve of angle of incidence versus angle of deviation shown has been plotted for prism. The value of refractive index of the prism used is :
1 \(\sqrt 3 \)
2 \(\frac{{\sqrt 3 }}{{\sqrt 2 }}\)
3 \(\frac{2}{{\sqrt 3 }}\)
4 \(\sqrt 2 \)
Explanation:
At minimum deviation \({\delta _{\min }} = 2i - A\) \(60^\circ = 2\left( {60^\circ } \right) - A\) \(A = 60^\circ \) The refractive index is \(1\sin i = \mu \sin r\) \(\sin 60^\circ = \mu \sin \left( {\frac{A}{2}} \right) = \mu \sin 30^\circ \) \(\mu = \sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365058
The angle of minimum deviation for a prism is 40° and the angle of the prism is 60° The angle of incidence in the position will be
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PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365054
Angle of minimum deviation for a prism of refractive index 1.5 is equal to the angle of prism. Then the angle of prism is \(\left( {\sin {{48}^0}36' = 0.75} \right)\)
365056
When a ray of light is incident normally on one refracting surface of an equilateral prism (Refractive index of the material of the prism \( = {\rm{ }}1.5)\)
1 Emerging ray is deviated by \(45^\circ \)
2 The ray undergoes total internal reflection at the second refracting surface
3 Emerging ray is deviated by \(30^\circ \)
4 Emerging ray just grazes the second refracting surface
Explanation:
Critical angle for the material of prism \(C = {\sin ^{ - 1}}\left( {\frac{1}{\mu }} \right) = {\sin ^{ - 1}}\left( {\frac{1}{{1.5}}} \right) = 42^\circ \) since angle of incidence at surface \(AB\left( {60^\circ } \right)\) is more than the critical angle \(\left( {42^\circ } \right)\) so total internal reflection takes place.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365057
The curve of angle of incidence versus angle of deviation shown has been plotted for prism. The value of refractive index of the prism used is :
1 \(\sqrt 3 \)
2 \(\frac{{\sqrt 3 }}{{\sqrt 2 }}\)
3 \(\frac{2}{{\sqrt 3 }}\)
4 \(\sqrt 2 \)
Explanation:
At minimum deviation \({\delta _{\min }} = 2i - A\) \(60^\circ = 2\left( {60^\circ } \right) - A\) \(A = 60^\circ \) The refractive index is \(1\sin i = \mu \sin r\) \(\sin 60^\circ = \mu \sin \left( {\frac{A}{2}} \right) = \mu \sin 30^\circ \) \(\mu = \sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365058
The angle of minimum deviation for a prism is 40° and the angle of the prism is 60° The angle of incidence in the position will be
365054
Angle of minimum deviation for a prism of refractive index 1.5 is equal to the angle of prism. Then the angle of prism is \(\left( {\sin {{48}^0}36' = 0.75} \right)\)
365056
When a ray of light is incident normally on one refracting surface of an equilateral prism (Refractive index of the material of the prism \( = {\rm{ }}1.5)\)
1 Emerging ray is deviated by \(45^\circ \)
2 The ray undergoes total internal reflection at the second refracting surface
3 Emerging ray is deviated by \(30^\circ \)
4 Emerging ray just grazes the second refracting surface
Explanation:
Critical angle for the material of prism \(C = {\sin ^{ - 1}}\left( {\frac{1}{\mu }} \right) = {\sin ^{ - 1}}\left( {\frac{1}{{1.5}}} \right) = 42^\circ \) since angle of incidence at surface \(AB\left( {60^\circ } \right)\) is more than the critical angle \(\left( {42^\circ } \right)\) so total internal reflection takes place.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365057
The curve of angle of incidence versus angle of deviation shown has been plotted for prism. The value of refractive index of the prism used is :
1 \(\sqrt 3 \)
2 \(\frac{{\sqrt 3 }}{{\sqrt 2 }}\)
3 \(\frac{2}{{\sqrt 3 }}\)
4 \(\sqrt 2 \)
Explanation:
At minimum deviation \({\delta _{\min }} = 2i - A\) \(60^\circ = 2\left( {60^\circ } \right) - A\) \(A = 60^\circ \) The refractive index is \(1\sin i = \mu \sin r\) \(\sin 60^\circ = \mu \sin \left( {\frac{A}{2}} \right) = \mu \sin 30^\circ \) \(\mu = \sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365058
The angle of minimum deviation for a prism is 40° and the angle of the prism is 60° The angle of incidence in the position will be
365054
Angle of minimum deviation for a prism of refractive index 1.5 is equal to the angle of prism. Then the angle of prism is \(\left( {\sin {{48}^0}36' = 0.75} \right)\)
365056
When a ray of light is incident normally on one refracting surface of an equilateral prism (Refractive index of the material of the prism \( = {\rm{ }}1.5)\)
1 Emerging ray is deviated by \(45^\circ \)
2 The ray undergoes total internal reflection at the second refracting surface
3 Emerging ray is deviated by \(30^\circ \)
4 Emerging ray just grazes the second refracting surface
Explanation:
Critical angle for the material of prism \(C = {\sin ^{ - 1}}\left( {\frac{1}{\mu }} \right) = {\sin ^{ - 1}}\left( {\frac{1}{{1.5}}} \right) = 42^\circ \) since angle of incidence at surface \(AB\left( {60^\circ } \right)\) is more than the critical angle \(\left( {42^\circ } \right)\) so total internal reflection takes place.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365057
The curve of angle of incidence versus angle of deviation shown has been plotted for prism. The value of refractive index of the prism used is :
1 \(\sqrt 3 \)
2 \(\frac{{\sqrt 3 }}{{\sqrt 2 }}\)
3 \(\frac{2}{{\sqrt 3 }}\)
4 \(\sqrt 2 \)
Explanation:
At minimum deviation \({\delta _{\min }} = 2i - A\) \(60^\circ = 2\left( {60^\circ } \right) - A\) \(A = 60^\circ \) The refractive index is \(1\sin i = \mu \sin r\) \(\sin 60^\circ = \mu \sin \left( {\frac{A}{2}} \right) = \mu \sin 30^\circ \) \(\mu = \sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS
365058
The angle of minimum deviation for a prism is 40° and the angle of the prism is 60° The angle of incidence in the position will be
