Refraction at plane surface
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PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364971 Find the value of \(\theta\) in the given diagram.
supporting img

1 \(\sin ^{-1}\left(\dfrac{2}{\sqrt{3}}\right)\)
2 \(\sin ^{-1}\left(\dfrac{1}{\sqrt{3}}\right)\)
3 \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
4 \(\sin ^{-1}\left(\dfrac{1}{\sqrt{2}}\right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364972 In the figure shown, for an angle of incidence at the top surface, what is the minimum refractive index needed for total internal reflection at vertical face?
supporting img

1 \(\sqrt {\frac{3}{2}} \)
2 \(\frac{{\sqrt 2 + 1}}{2}\)
3 \(\sqrt 2 + 1\)
4 \(\sqrt {\frac{1}{2}} \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364973 A transparent cube of \(15\;cm\) edge contains a small air bubble. Its apparent depth when viewed through one face is \(6\;cm\) and when viewed through the opposite face is \(4\;cm\). Then, the refractive index of the material of the cube is

1 2.0
2 2.5
3 1.6
4 1.5
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364974 The speed of light in media \({M_1}\) and \({M_2}\) are \(1.5 \times {10^8}m{s^{ - 1}}\)and \(2 \times {10^8}m{s^{ - 1}}\) respectively. A ray travels from medium \({M_1}\) to the medium \({M_2}\) with an angle of incidence \(\theta \) . The ray suffers total internal reflection. Then the value of the angle of incidence \(\theta \) is

1 \( > {\sin ^{ - 1}}\left( {\frac{3}{4}} \right)\)
2 \( < {\sin ^{ - 1}}\left( {\frac{3}{4}} \right)\)
3 \( = {\sin ^{ - 1}}\left( {\frac{4}{3}} \right)\)
4 \( \le {\sin ^{ - 1}}\left( {\frac{4}{3}} \right)\)
KCET - 2013
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PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364971 Find the value of \(\theta\) in the given diagram.
supporting img

1 \(\sin ^{-1}\left(\dfrac{2}{\sqrt{3}}\right)\)
2 \(\sin ^{-1}\left(\dfrac{1}{\sqrt{3}}\right)\)
3 \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
4 \(\sin ^{-1}\left(\dfrac{1}{\sqrt{2}}\right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364972 In the figure shown, for an angle of incidence at the top surface, what is the minimum refractive index needed for total internal reflection at vertical face?
supporting img

1 \(\sqrt {\frac{3}{2}} \)
2 \(\frac{{\sqrt 2 + 1}}{2}\)
3 \(\sqrt 2 + 1\)
4 \(\sqrt {\frac{1}{2}} \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364973 A transparent cube of \(15\;cm\) edge contains a small air bubble. Its apparent depth when viewed through one face is \(6\;cm\) and when viewed through the opposite face is \(4\;cm\). Then, the refractive index of the material of the cube is

1 2.0
2 2.5
3 1.6
4 1.5
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364974 The speed of light in media \({M_1}\) and \({M_2}\) are \(1.5 \times {10^8}m{s^{ - 1}}\)and \(2 \times {10^8}m{s^{ - 1}}\) respectively. A ray travels from medium \({M_1}\) to the medium \({M_2}\) with an angle of incidence \(\theta \) . The ray suffers total internal reflection. Then the value of the angle of incidence \(\theta \) is

1 \( > {\sin ^{ - 1}}\left( {\frac{3}{4}} \right)\)
2 \( < {\sin ^{ - 1}}\left( {\frac{3}{4}} \right)\)
3 \( = {\sin ^{ - 1}}\left( {\frac{4}{3}} \right)\)
4 \( \le {\sin ^{ - 1}}\left( {\frac{4}{3}} \right)\)
KCET - 2013
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PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364971 Find the value of \(\theta\) in the given diagram.
supporting img

1 \(\sin ^{-1}\left(\dfrac{2}{\sqrt{3}}\right)\)
2 \(\sin ^{-1}\left(\dfrac{1}{\sqrt{3}}\right)\)
3 \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
4 \(\sin ^{-1}\left(\dfrac{1}{\sqrt{2}}\right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364972 In the figure shown, for an angle of incidence at the top surface, what is the minimum refractive index needed for total internal reflection at vertical face?
supporting img

1 \(\sqrt {\frac{3}{2}} \)
2 \(\frac{{\sqrt 2 + 1}}{2}\)
3 \(\sqrt 2 + 1\)
4 \(\sqrt {\frac{1}{2}} \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364973 A transparent cube of \(15\;cm\) edge contains a small air bubble. Its apparent depth when viewed through one face is \(6\;cm\) and when viewed through the opposite face is \(4\;cm\). Then, the refractive index of the material of the cube is

1 2.0
2 2.5
3 1.6
4 1.5
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364974 The speed of light in media \({M_1}\) and \({M_2}\) are \(1.5 \times {10^8}m{s^{ - 1}}\)and \(2 \times {10^8}m{s^{ - 1}}\) respectively. A ray travels from medium \({M_1}\) to the medium \({M_2}\) with an angle of incidence \(\theta \) . The ray suffers total internal reflection. Then the value of the angle of incidence \(\theta \) is

1 \( > {\sin ^{ - 1}}\left( {\frac{3}{4}} \right)\)
2 \( < {\sin ^{ - 1}}\left( {\frac{3}{4}} \right)\)
3 \( = {\sin ^{ - 1}}\left( {\frac{4}{3}} \right)\)
4 \( \le {\sin ^{ - 1}}\left( {\frac{4}{3}} \right)\)
KCET - 2013
For More Updates join with Us
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PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364971 Find the value of \(\theta\) in the given diagram.
supporting img

1 \(\sin ^{-1}\left(\dfrac{2}{\sqrt{3}}\right)\)
2 \(\sin ^{-1}\left(\dfrac{1}{\sqrt{3}}\right)\)
3 \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
4 \(\sin ^{-1}\left(\dfrac{1}{\sqrt{2}}\right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364972 In the figure shown, for an angle of incidence at the top surface, what is the minimum refractive index needed for total internal reflection at vertical face?
supporting img

1 \(\sqrt {\frac{3}{2}} \)
2 \(\frac{{\sqrt 2 + 1}}{2}\)
3 \(\sqrt 2 + 1\)
4 \(\sqrt {\frac{1}{2}} \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364973 A transparent cube of \(15\;cm\) edge contains a small air bubble. Its apparent depth when viewed through one face is \(6\;cm\) and when viewed through the opposite face is \(4\;cm\). Then, the refractive index of the material of the cube is

1 2.0
2 2.5
3 1.6
4 1.5
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364974 The speed of light in media \({M_1}\) and \({M_2}\) are \(1.5 \times {10^8}m{s^{ - 1}}\)and \(2 \times {10^8}m{s^{ - 1}}\) respectively. A ray travels from medium \({M_1}\) to the medium \({M_2}\) with an angle of incidence \(\theta \) . The ray suffers total internal reflection. Then the value of the angle of incidence \(\theta \) is

1 \( > {\sin ^{ - 1}}\left( {\frac{3}{4}} \right)\)
2 \( < {\sin ^{ - 1}}\left( {\frac{3}{4}} \right)\)
3 \( = {\sin ^{ - 1}}\left( {\frac{4}{3}} \right)\)
4 \( \le {\sin ^{ - 1}}\left( {\frac{4}{3}} \right)\)
KCET - 2013