Refraction at plane surface
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364923 A transparent cube of \(0.21\;m\) edge contains a small air bubble. Its apparent distance when viewed through one face of the cube is \(0.10\;m\) and when viewed from the opposite face is \(0.04\;m\). The actual distance of the bubble from the second face of the cube

1 \(0.06\;m\)
2 \(0.17\;m\)
3 \(0.05\;m\)
4 \(0.04\;m\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364924 Each quarter of a vessel of depth \(H\) is filled with liquids of the refractive indices \({n_1},{n_2},{n_3}\;and\;{n_4}\) from the bottom respectively. The apparent depth of the vessel when looked normally is

1 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{4}\)
2 \(\frac{{H\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{4}\)
3 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{2}\)
4 \(\frac{{\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{{4H}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364925 The image of point \(P\) when viewed from top of the slabs will be
supporting img

1 \(1.5\;cm\) above \(P\)
2 \(2.0\;cm\) above \(P\)
3 \(1\;cm\) above \(P\)
4 \(2.0cm\) below \(P\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364926 An air bubble in glass slab \({(\mu=1.5)}\) when viewed from one side appears to be at \(3\,cm\) and from opposite side at \(4\,cm\). The thickness of the slab is

1 \(7\,cm\)
2 \(9.3\,cm\)
3 \(10.5\,cm\)
4 \(12.0\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364927 A coin is placed at the bottom of a tank which is filled by two liquid layers as shown. The apparent depth of coin from top of surface for normal viewing is
supporting img

1 \(6\,cm\)
2 \(13\,cm\)
3 \(5\,cm\)
4 \(18\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364923 A transparent cube of \(0.21\;m\) edge contains a small air bubble. Its apparent distance when viewed through one face of the cube is \(0.10\;m\) and when viewed from the opposite face is \(0.04\;m\). The actual distance of the bubble from the second face of the cube

1 \(0.06\;m\)
2 \(0.17\;m\)
3 \(0.05\;m\)
4 \(0.04\;m\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364924 Each quarter of a vessel of depth \(H\) is filled with liquids of the refractive indices \({n_1},{n_2},{n_3}\;and\;{n_4}\) from the bottom respectively. The apparent depth of the vessel when looked normally is

1 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{4}\)
2 \(\frac{{H\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{4}\)
3 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{2}\)
4 \(\frac{{\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{{4H}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364925 The image of point \(P\) when viewed from top of the slabs will be
supporting img

1 \(1.5\;cm\) above \(P\)
2 \(2.0\;cm\) above \(P\)
3 \(1\;cm\) above \(P\)
4 \(2.0cm\) below \(P\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364926 An air bubble in glass slab \({(\mu=1.5)}\) when viewed from one side appears to be at \(3\,cm\) and from opposite side at \(4\,cm\). The thickness of the slab is

1 \(7\,cm\)
2 \(9.3\,cm\)
3 \(10.5\,cm\)
4 \(12.0\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364927 A coin is placed at the bottom of a tank which is filled by two liquid layers as shown. The apparent depth of coin from top of surface for normal viewing is
supporting img

1 \(6\,cm\)
2 \(13\,cm\)
3 \(5\,cm\)
4 \(18\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364923 A transparent cube of \(0.21\;m\) edge contains a small air bubble. Its apparent distance when viewed through one face of the cube is \(0.10\;m\) and when viewed from the opposite face is \(0.04\;m\). The actual distance of the bubble from the second face of the cube

1 \(0.06\;m\)
2 \(0.17\;m\)
3 \(0.05\;m\)
4 \(0.04\;m\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364924 Each quarter of a vessel of depth \(H\) is filled with liquids of the refractive indices \({n_1},{n_2},{n_3}\;and\;{n_4}\) from the bottom respectively. The apparent depth of the vessel when looked normally is

1 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{4}\)
2 \(\frac{{H\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{4}\)
3 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{2}\)
4 \(\frac{{\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{{4H}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364925 The image of point \(P\) when viewed from top of the slabs will be
supporting img

1 \(1.5\;cm\) above \(P\)
2 \(2.0\;cm\) above \(P\)
3 \(1\;cm\) above \(P\)
4 \(2.0cm\) below \(P\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364926 An air bubble in glass slab \({(\mu=1.5)}\) when viewed from one side appears to be at \(3\,cm\) and from opposite side at \(4\,cm\). The thickness of the slab is

1 \(7\,cm\)
2 \(9.3\,cm\)
3 \(10.5\,cm\)
4 \(12.0\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364927 A coin is placed at the bottom of a tank which is filled by two liquid layers as shown. The apparent depth of coin from top of surface for normal viewing is
supporting img

1 \(6\,cm\)
2 \(13\,cm\)
3 \(5\,cm\)
4 \(18\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364923 A transparent cube of \(0.21\;m\) edge contains a small air bubble. Its apparent distance when viewed through one face of the cube is \(0.10\;m\) and when viewed from the opposite face is \(0.04\;m\). The actual distance of the bubble from the second face of the cube

1 \(0.06\;m\)
2 \(0.17\;m\)
3 \(0.05\;m\)
4 \(0.04\;m\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364924 Each quarter of a vessel of depth \(H\) is filled with liquids of the refractive indices \({n_1},{n_2},{n_3}\;and\;{n_4}\) from the bottom respectively. The apparent depth of the vessel when looked normally is

1 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{4}\)
2 \(\frac{{H\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{4}\)
3 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{2}\)
4 \(\frac{{\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{{4H}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364925 The image of point \(P\) when viewed from top of the slabs will be
supporting img

1 \(1.5\;cm\) above \(P\)
2 \(2.0\;cm\) above \(P\)
3 \(1\;cm\) above \(P\)
4 \(2.0cm\) below \(P\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364926 An air bubble in glass slab \({(\mu=1.5)}\) when viewed from one side appears to be at \(3\,cm\) and from opposite side at \(4\,cm\). The thickness of the slab is

1 \(7\,cm\)
2 \(9.3\,cm\)
3 \(10.5\,cm\)
4 \(12.0\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364927 A coin is placed at the bottom of a tank which is filled by two liquid layers as shown. The apparent depth of coin from top of surface for normal viewing is
supporting img

1 \(6\,cm\)
2 \(13\,cm\)
3 \(5\,cm\)
4 \(18\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364923 A transparent cube of \(0.21\;m\) edge contains a small air bubble. Its apparent distance when viewed through one face of the cube is \(0.10\;m\) and when viewed from the opposite face is \(0.04\;m\). The actual distance of the bubble from the second face of the cube

1 \(0.06\;m\)
2 \(0.17\;m\)
3 \(0.05\;m\)
4 \(0.04\;m\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364924 Each quarter of a vessel of depth \(H\) is filled with liquids of the refractive indices \({n_1},{n_2},{n_3}\;and\;{n_4}\) from the bottom respectively. The apparent depth of the vessel when looked normally is

1 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{4}\)
2 \(\frac{{H\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{4}\)
3 \(\frac{{H\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + \frac{1}{{{n_4}}}} \right)}}{2}\)
4 \(\frac{{\left( {{n_1} + {n_2} + {n_3} + {n_4}} \right)}}{{4H}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364925 The image of point \(P\) when viewed from top of the slabs will be
supporting img

1 \(1.5\;cm\) above \(P\)
2 \(2.0\;cm\) above \(P\)
3 \(1\;cm\) above \(P\)
4 \(2.0cm\) below \(P\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364926 An air bubble in glass slab \({(\mu=1.5)}\) when viewed from one side appears to be at \(3\,cm\) and from opposite side at \(4\,cm\). The thickness of the slab is

1 \(7\,cm\)
2 \(9.3\,cm\)
3 \(10.5\,cm\)
4 \(12.0\,cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364927 A coin is placed at the bottom of a tank which is filled by two liquid layers as shown. The apparent depth of coin from top of surface for normal viewing is
supporting img

1 \(6\,cm\)
2 \(13\,cm\)
3 \(5\,cm\)
4 \(18\,cm\)