Refraction at plane surface
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364902 A fish in water (refractive index \(n\)) looks at a bird vertically above in the air. If \(y\) is the height of the bird and \(x{\rm{ }}\) is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is

1 \(x + y\left( {1 + \frac{1}{n}} \right)\)
2 \(y + x\left( {1 - \frac{1}{n}} \right)\)
3 \(x + y\left( {1 - \frac{1}{n}} \right)\)
4 \(x + ny\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364903 A vessel is half filled with a liquid of refractive index \(\mu\). The other half of the vessel is filled with an immiscible liquid of refractive index \(1.5 \mu\). The apparent depth of the vessel is \(50 \%\) of the actual depth. Then \(\mu\) is

1 1.4
2 1.5
3 1.6
4 1.67
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364904 A plane glass slab is kept over various coloured letters, the letter which appears least raised is

1 Red
2 Green
3 Blue
4 Violet
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364905 A concave mirror of radius \(R\) is kept on a horizontal table (figure). Water (refractive index \( = \mu \) ) is poured into it upto a height \(h\). What should be the distance of a point object from surface along principal axis so that its final image is formed on itself. Consider two cases.
supporting img

1 \((R - h)\mu \)
2 \(\left( {\frac{{R - h}}{\mu }} \right)\)
3 \(\frac{h}{\mu }\)
4 \(\frac{R}{\mu }\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364902 A fish in water (refractive index \(n\)) looks at a bird vertically above in the air. If \(y\) is the height of the bird and \(x{\rm{ }}\) is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is

1 \(x + y\left( {1 + \frac{1}{n}} \right)\)
2 \(y + x\left( {1 - \frac{1}{n}} \right)\)
3 \(x + y\left( {1 - \frac{1}{n}} \right)\)
4 \(x + ny\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364903 A vessel is half filled with a liquid of refractive index \(\mu\). The other half of the vessel is filled with an immiscible liquid of refractive index \(1.5 \mu\). The apparent depth of the vessel is \(50 \%\) of the actual depth. Then \(\mu\) is

1 1.4
2 1.5
3 1.6
4 1.67
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364904 A plane glass slab is kept over various coloured letters, the letter which appears least raised is

1 Red
2 Green
3 Blue
4 Violet
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364905 A concave mirror of radius \(R\) is kept on a horizontal table (figure). Water (refractive index \( = \mu \) ) is poured into it upto a height \(h\). What should be the distance of a point object from surface along principal axis so that its final image is formed on itself. Consider two cases.
supporting img

1 \((R - h)\mu \)
2 \(\left( {\frac{{R - h}}{\mu }} \right)\)
3 \(\frac{h}{\mu }\)
4 \(\frac{R}{\mu }\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364902 A fish in water (refractive index \(n\)) looks at a bird vertically above in the air. If \(y\) is the height of the bird and \(x{\rm{ }}\) is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is

1 \(x + y\left( {1 + \frac{1}{n}} \right)\)
2 \(y + x\left( {1 - \frac{1}{n}} \right)\)
3 \(x + y\left( {1 - \frac{1}{n}} \right)\)
4 \(x + ny\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364903 A vessel is half filled with a liquid of refractive index \(\mu\). The other half of the vessel is filled with an immiscible liquid of refractive index \(1.5 \mu\). The apparent depth of the vessel is \(50 \%\) of the actual depth. Then \(\mu\) is

1 1.4
2 1.5
3 1.6
4 1.67
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364904 A plane glass slab is kept over various coloured letters, the letter which appears least raised is

1 Red
2 Green
3 Blue
4 Violet
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364905 A concave mirror of radius \(R\) is kept on a horizontal table (figure). Water (refractive index \( = \mu \) ) is poured into it upto a height \(h\). What should be the distance of a point object from surface along principal axis so that its final image is formed on itself. Consider two cases.
supporting img

1 \((R - h)\mu \)
2 \(\left( {\frac{{R - h}}{\mu }} \right)\)
3 \(\frac{h}{\mu }\)
4 \(\frac{R}{\mu }\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364902 A fish in water (refractive index \(n\)) looks at a bird vertically above in the air. If \(y\) is the height of the bird and \(x{\rm{ }}\) is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is

1 \(x + y\left( {1 + \frac{1}{n}} \right)\)
2 \(y + x\left( {1 - \frac{1}{n}} \right)\)
3 \(x + y\left( {1 - \frac{1}{n}} \right)\)
4 \(x + ny\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364903 A vessel is half filled with a liquid of refractive index \(\mu\). The other half of the vessel is filled with an immiscible liquid of refractive index \(1.5 \mu\). The apparent depth of the vessel is \(50 \%\) of the actual depth. Then \(\mu\) is

1 1.4
2 1.5
3 1.6
4 1.67
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364904 A plane glass slab is kept over various coloured letters, the letter which appears least raised is

1 Red
2 Green
3 Blue
4 Violet
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364905 A concave mirror of radius \(R\) is kept on a horizontal table (figure). Water (refractive index \( = \mu \) ) is poured into it upto a height \(h\). What should be the distance of a point object from surface along principal axis so that its final image is formed on itself. Consider two cases.
supporting img

1 \((R - h)\mu \)
2 \(\left( {\frac{{R - h}}{\mu }} \right)\)
3 \(\frac{h}{\mu }\)
4 \(\frac{R}{\mu }\)