Refraction at plane surface
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364893 How much water should be filled in a container of \(21\;cm\) in height, so that it appears half filled when viewed from the top of the container? given that \({\mu _w} = 4/3\)

1 \(12.0\;cm\)
2 \(10.5\;cm\)
3 \(8.0\;cm\)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364894 A\(4\;cm\) thick layer of water covers a \(6\;cm\) thick glass slab. A coin is placed at the bottom of the slab and is being observed from the air side along the normal to the surface. Find the apparent depth of the coin from surface is
supporting img

1 \(10\;cm\)
2 \(5\;cm\)
3 \(8.0\;cm\)
4 \(7.0\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364895 A bubble in glass slab \({[\mu=1.5]}\) when viewed from one side appears at \(5\,cm\) and \(2\,cm\) from other side then thickness of slab is

1 \(3.75\,cm\)
2 \(23\,cm\)
3 \(10.5\,cm\)
4 \(1.5\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364896 A vessel of height \(2d\) is half filled with a liquid of refractive index \(\sqrt 2 \) and the other half with a liquid of refractive index \(n\).(The given liquids are immiscible). Then the apparent depth of the inner surface of the bottom of the vessel (neglecting the thickness of the bottom of the vessel) will be

1 \(\frac{n}{{d\left( {n + \sqrt 2 } \right)}}\)
2 \(\frac{{d\left( {n + \sqrt 2 } \right)}}{{n\sqrt 2 }}\)
3 \(\frac{{\sqrt 2 n}}{{d\left( {n + \sqrt 2 } \right)}}\)
4 \(\frac{{nd}}{{d + \sqrt {2n} }}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364897 \({\rm{P}}\) is a point on the axis of a concave mirror. The image of \({\rm{P}}\) formed by the mirror, coincides with \({\rm{P}}\). A rectangular glass slab of thickness \({\rm{t }}\) and refractive index \(\mu \) is now introduced between \({\rm{P}}\) and the mirror. For image of \({\rm{P}}\) to coincide with \({\rm{P}}\) again, the mirror must be moved

1 Away from \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)
2 Towards \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
3 Away from \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
4 Towards \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364893 How much water should be filled in a container of \(21\;cm\) in height, so that it appears half filled when viewed from the top of the container? given that \({\mu _w} = 4/3\)

1 \(12.0\;cm\)
2 \(10.5\;cm\)
3 \(8.0\;cm\)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364894 A\(4\;cm\) thick layer of water covers a \(6\;cm\) thick glass slab. A coin is placed at the bottom of the slab and is being observed from the air side along the normal to the surface. Find the apparent depth of the coin from surface is
supporting img

1 \(10\;cm\)
2 \(5\;cm\)
3 \(8.0\;cm\)
4 \(7.0\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364895 A bubble in glass slab \({[\mu=1.5]}\) when viewed from one side appears at \(5\,cm\) and \(2\,cm\) from other side then thickness of slab is

1 \(3.75\,cm\)
2 \(23\,cm\)
3 \(10.5\,cm\)
4 \(1.5\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364896 A vessel of height \(2d\) is half filled with a liquid of refractive index \(\sqrt 2 \) and the other half with a liquid of refractive index \(n\).(The given liquids are immiscible). Then the apparent depth of the inner surface of the bottom of the vessel (neglecting the thickness of the bottom of the vessel) will be

1 \(\frac{n}{{d\left( {n + \sqrt 2 } \right)}}\)
2 \(\frac{{d\left( {n + \sqrt 2 } \right)}}{{n\sqrt 2 }}\)
3 \(\frac{{\sqrt 2 n}}{{d\left( {n + \sqrt 2 } \right)}}\)
4 \(\frac{{nd}}{{d + \sqrt {2n} }}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364897 \({\rm{P}}\) is a point on the axis of a concave mirror. The image of \({\rm{P}}\) formed by the mirror, coincides with \({\rm{P}}\). A rectangular glass slab of thickness \({\rm{t }}\) and refractive index \(\mu \) is now introduced between \({\rm{P}}\) and the mirror. For image of \({\rm{P}}\) to coincide with \({\rm{P}}\) again, the mirror must be moved

1 Away from \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)
2 Towards \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
3 Away from \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
4 Towards \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364893 How much water should be filled in a container of \(21\;cm\) in height, so that it appears half filled when viewed from the top of the container? given that \({\mu _w} = 4/3\)

1 \(12.0\;cm\)
2 \(10.5\;cm\)
3 \(8.0\;cm\)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364894 A\(4\;cm\) thick layer of water covers a \(6\;cm\) thick glass slab. A coin is placed at the bottom of the slab and is being observed from the air side along the normal to the surface. Find the apparent depth of the coin from surface is
supporting img

1 \(10\;cm\)
2 \(5\;cm\)
3 \(8.0\;cm\)
4 \(7.0\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364895 A bubble in glass slab \({[\mu=1.5]}\) when viewed from one side appears at \(5\,cm\) and \(2\,cm\) from other side then thickness of slab is

1 \(3.75\,cm\)
2 \(23\,cm\)
3 \(10.5\,cm\)
4 \(1.5\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364896 A vessel of height \(2d\) is half filled with a liquid of refractive index \(\sqrt 2 \) and the other half with a liquid of refractive index \(n\).(The given liquids are immiscible). Then the apparent depth of the inner surface of the bottom of the vessel (neglecting the thickness of the bottom of the vessel) will be

1 \(\frac{n}{{d\left( {n + \sqrt 2 } \right)}}\)
2 \(\frac{{d\left( {n + \sqrt 2 } \right)}}{{n\sqrt 2 }}\)
3 \(\frac{{\sqrt 2 n}}{{d\left( {n + \sqrt 2 } \right)}}\)
4 \(\frac{{nd}}{{d + \sqrt {2n} }}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364897 \({\rm{P}}\) is a point on the axis of a concave mirror. The image of \({\rm{P}}\) formed by the mirror, coincides with \({\rm{P}}\). A rectangular glass slab of thickness \({\rm{t }}\) and refractive index \(\mu \) is now introduced between \({\rm{P}}\) and the mirror. For image of \({\rm{P}}\) to coincide with \({\rm{P}}\) again, the mirror must be moved

1 Away from \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)
2 Towards \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
3 Away from \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
4 Towards \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364893 How much water should be filled in a container of \(21\;cm\) in height, so that it appears half filled when viewed from the top of the container? given that \({\mu _w} = 4/3\)

1 \(12.0\;cm\)
2 \(10.5\;cm\)
3 \(8.0\;cm\)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364894 A\(4\;cm\) thick layer of water covers a \(6\;cm\) thick glass slab. A coin is placed at the bottom of the slab and is being observed from the air side along the normal to the surface. Find the apparent depth of the coin from surface is
supporting img

1 \(10\;cm\)
2 \(5\;cm\)
3 \(8.0\;cm\)
4 \(7.0\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364895 A bubble in glass slab \({[\mu=1.5]}\) when viewed from one side appears at \(5\,cm\) and \(2\,cm\) from other side then thickness of slab is

1 \(3.75\,cm\)
2 \(23\,cm\)
3 \(10.5\,cm\)
4 \(1.5\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364896 A vessel of height \(2d\) is half filled with a liquid of refractive index \(\sqrt 2 \) and the other half with a liquid of refractive index \(n\).(The given liquids are immiscible). Then the apparent depth of the inner surface of the bottom of the vessel (neglecting the thickness of the bottom of the vessel) will be

1 \(\frac{n}{{d\left( {n + \sqrt 2 } \right)}}\)
2 \(\frac{{d\left( {n + \sqrt 2 } \right)}}{{n\sqrt 2 }}\)
3 \(\frac{{\sqrt 2 n}}{{d\left( {n + \sqrt 2 } \right)}}\)
4 \(\frac{{nd}}{{d + \sqrt {2n} }}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364897 \({\rm{P}}\) is a point on the axis of a concave mirror. The image of \({\rm{P}}\) formed by the mirror, coincides with \({\rm{P}}\). A rectangular glass slab of thickness \({\rm{t }}\) and refractive index \(\mu \) is now introduced between \({\rm{P}}\) and the mirror. For image of \({\rm{P}}\) to coincide with \({\rm{P}}\) again, the mirror must be moved

1 Away from \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)
2 Towards \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
3 Away from \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
4 Towards \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364893 How much water should be filled in a container of \(21\;cm\) in height, so that it appears half filled when viewed from the top of the container? given that \({\mu _w} = 4/3\)

1 \(12.0\;cm\)
2 \(10.5\;cm\)
3 \(8.0\;cm\)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364894 A\(4\;cm\) thick layer of water covers a \(6\;cm\) thick glass slab. A coin is placed at the bottom of the slab and is being observed from the air side along the normal to the surface. Find the apparent depth of the coin from surface is
supporting img

1 \(10\;cm\)
2 \(5\;cm\)
3 \(8.0\;cm\)
4 \(7.0\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364895 A bubble in glass slab \({[\mu=1.5]}\) when viewed from one side appears at \(5\,cm\) and \(2\,cm\) from other side then thickness of slab is

1 \(3.75\,cm\)
2 \(23\,cm\)
3 \(10.5\,cm\)
4 \(1.5\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364896 A vessel of height \(2d\) is half filled with a liquid of refractive index \(\sqrt 2 \) and the other half with a liquid of refractive index \(n\).(The given liquids are immiscible). Then the apparent depth of the inner surface of the bottom of the vessel (neglecting the thickness of the bottom of the vessel) will be

1 \(\frac{n}{{d\left( {n + \sqrt 2 } \right)}}\)
2 \(\frac{{d\left( {n + \sqrt 2 } \right)}}{{n\sqrt 2 }}\)
3 \(\frac{{\sqrt 2 n}}{{d\left( {n + \sqrt 2 } \right)}}\)
4 \(\frac{{nd}}{{d + \sqrt {2n} }}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364897 \({\rm{P}}\) is a point on the axis of a concave mirror. The image of \({\rm{P}}\) formed by the mirror, coincides with \({\rm{P}}\). A rectangular glass slab of thickness \({\rm{t }}\) and refractive index \(\mu \) is now introduced between \({\rm{P}}\) and the mirror. For image of \({\rm{P}}\) to coincide with \({\rm{P}}\) again, the mirror must be moved

1 Away from \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)
2 Towards \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
3 Away from \({\rm{P}}\) by \(\left( {\mu - 1} \right)t\)
4 Towards \({\rm{P}}\) by \(t\left( {1 - \frac{1}{\mu }} \right)\)