Refraction at curved surfaces
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364803 A point source \({\rm{O}}\) kept at distance of \(2R{\rm{ }}\) from pole \({\rm{ P}}\) of a concave interface having radius of curvature \(R\) emits a beam at an angle of \(30^\circ \) to the principle axis \({\rm{ PO}}\). The distance of the image of point source \({\rm{O}}\) from pole \({\rm{ P }}\)is:
supporting img

1 \(R\)
2 \(2R{\rm{/}}3\)
3 \(2R/\sqrt 3 \)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364804 A ray of light falls on a transparent sphere with centre at \({\rm{C }}\) as shown in figure. The ray emerges from the sphere parallel to line \(AB\). The refractive index of the sphere is
supporting img

1 \(3/2\)
2 \(1/2\)
3 \(\sqrt 2 \)
4 \(\sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364805 A point object \(O\) is placed in front of glass rod having spherical end of radius of curvature \(30\;cm\). The image would be formed at
supporting img

1 Infinity
2 \(30\;cm\,\) left
3 \(18\;cm\) to the left
4 1\({\rm{cm}}\) to the right
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364806 One end of a cylindrical glass rod \(\left( {\mu = 1.5} \right)\) is given the shape of a concave refracing surface of radius \(10\;cm\) . An air bubble is situated in the glass rod at a point on its axis such that it appears to be at distance \(10\;cm\) from the surface and inside glass when seen from the other medium. Find the actual location of air bubble, from the surface.

1 20 \(cm\) outside the glass
2 10 \(cm\) inside the glass
3 40 \(cm\) inside the glass
4 30 \(cm\) inside the glass
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364807 Radii of curvature of a converging lens are in the ratio 1: 2. Its focal length is \(6\;cm\) and refractive index is 1.5. Then its radii of curvature are ________respectively.

1 \(9\;cm\;{\rm{and}}\;18\;cm\)
2 \(6\;cm\;{\rm{and}}\;12\;cm\)
3 \(3\;cm\;{\rm{and}}\;6\;cm\)
4 \(4.5\;cm\;{\rm{and}}\;9\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364803 A point source \({\rm{O}}\) kept at distance of \(2R{\rm{ }}\) from pole \({\rm{ P}}\) of a concave interface having radius of curvature \(R\) emits a beam at an angle of \(30^\circ \) to the principle axis \({\rm{ PO}}\). The distance of the image of point source \({\rm{O}}\) from pole \({\rm{ P }}\)is:
supporting img

1 \(R\)
2 \(2R{\rm{/}}3\)
3 \(2R/\sqrt 3 \)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364804 A ray of light falls on a transparent sphere with centre at \({\rm{C }}\) as shown in figure. The ray emerges from the sphere parallel to line \(AB\). The refractive index of the sphere is
supporting img

1 \(3/2\)
2 \(1/2\)
3 \(\sqrt 2 \)
4 \(\sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364805 A point object \(O\) is placed in front of glass rod having spherical end of radius of curvature \(30\;cm\). The image would be formed at
supporting img

1 Infinity
2 \(30\;cm\,\) left
3 \(18\;cm\) to the left
4 1\({\rm{cm}}\) to the right
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364806 One end of a cylindrical glass rod \(\left( {\mu = 1.5} \right)\) is given the shape of a concave refracing surface of radius \(10\;cm\) . An air bubble is situated in the glass rod at a point on its axis such that it appears to be at distance \(10\;cm\) from the surface and inside glass when seen from the other medium. Find the actual location of air bubble, from the surface.

1 20 \(cm\) outside the glass
2 10 \(cm\) inside the glass
3 40 \(cm\) inside the glass
4 30 \(cm\) inside the glass
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364807 Radii of curvature of a converging lens are in the ratio 1: 2. Its focal length is \(6\;cm\) and refractive index is 1.5. Then its radii of curvature are ________respectively.

1 \(9\;cm\;{\rm{and}}\;18\;cm\)
2 \(6\;cm\;{\rm{and}}\;12\;cm\)
3 \(3\;cm\;{\rm{and}}\;6\;cm\)
4 \(4.5\;cm\;{\rm{and}}\;9\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364803 A point source \({\rm{O}}\) kept at distance of \(2R{\rm{ }}\) from pole \({\rm{ P}}\) of a concave interface having radius of curvature \(R\) emits a beam at an angle of \(30^\circ \) to the principle axis \({\rm{ PO}}\). The distance of the image of point source \({\rm{O}}\) from pole \({\rm{ P }}\)is:
supporting img

1 \(R\)
2 \(2R{\rm{/}}3\)
3 \(2R/\sqrt 3 \)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364804 A ray of light falls on a transparent sphere with centre at \({\rm{C }}\) as shown in figure. The ray emerges from the sphere parallel to line \(AB\). The refractive index of the sphere is
supporting img

1 \(3/2\)
2 \(1/2\)
3 \(\sqrt 2 \)
4 \(\sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364805 A point object \(O\) is placed in front of glass rod having spherical end of radius of curvature \(30\;cm\). The image would be formed at
supporting img

1 Infinity
2 \(30\;cm\,\) left
3 \(18\;cm\) to the left
4 1\({\rm{cm}}\) to the right
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364806 One end of a cylindrical glass rod \(\left( {\mu = 1.5} \right)\) is given the shape of a concave refracing surface of radius \(10\;cm\) . An air bubble is situated in the glass rod at a point on its axis such that it appears to be at distance \(10\;cm\) from the surface and inside glass when seen from the other medium. Find the actual location of air bubble, from the surface.

1 20 \(cm\) outside the glass
2 10 \(cm\) inside the glass
3 40 \(cm\) inside the glass
4 30 \(cm\) inside the glass
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364807 Radii of curvature of a converging lens are in the ratio 1: 2. Its focal length is \(6\;cm\) and refractive index is 1.5. Then its radii of curvature are ________respectively.

1 \(9\;cm\;{\rm{and}}\;18\;cm\)
2 \(6\;cm\;{\rm{and}}\;12\;cm\)
3 \(3\;cm\;{\rm{and}}\;6\;cm\)
4 \(4.5\;cm\;{\rm{and}}\;9\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364803 A point source \({\rm{O}}\) kept at distance of \(2R{\rm{ }}\) from pole \({\rm{ P}}\) of a concave interface having radius of curvature \(R\) emits a beam at an angle of \(30^\circ \) to the principle axis \({\rm{ PO}}\). The distance of the image of point source \({\rm{O}}\) from pole \({\rm{ P }}\)is:
supporting img

1 \(R\)
2 \(2R{\rm{/}}3\)
3 \(2R/\sqrt 3 \)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364804 A ray of light falls on a transparent sphere with centre at \({\rm{C }}\) as shown in figure. The ray emerges from the sphere parallel to line \(AB\). The refractive index of the sphere is
supporting img

1 \(3/2\)
2 \(1/2\)
3 \(\sqrt 2 \)
4 \(\sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364805 A point object \(O\) is placed in front of glass rod having spherical end of radius of curvature \(30\;cm\). The image would be formed at
supporting img

1 Infinity
2 \(30\;cm\,\) left
3 \(18\;cm\) to the left
4 1\({\rm{cm}}\) to the right
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364806 One end of a cylindrical glass rod \(\left( {\mu = 1.5} \right)\) is given the shape of a concave refracing surface of radius \(10\;cm\) . An air bubble is situated in the glass rod at a point on its axis such that it appears to be at distance \(10\;cm\) from the surface and inside glass when seen from the other medium. Find the actual location of air bubble, from the surface.

1 20 \(cm\) outside the glass
2 10 \(cm\) inside the glass
3 40 \(cm\) inside the glass
4 30 \(cm\) inside the glass
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364807 Radii of curvature of a converging lens are in the ratio 1: 2. Its focal length is \(6\;cm\) and refractive index is 1.5. Then its radii of curvature are ________respectively.

1 \(9\;cm\;{\rm{and}}\;18\;cm\)
2 \(6\;cm\;{\rm{and}}\;12\;cm\)
3 \(3\;cm\;{\rm{and}}\;6\;cm\)
4 \(4.5\;cm\;{\rm{and}}\;9\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364803 A point source \({\rm{O}}\) kept at distance of \(2R{\rm{ }}\) from pole \({\rm{ P}}\) of a concave interface having radius of curvature \(R\) emits a beam at an angle of \(30^\circ \) to the principle axis \({\rm{ PO}}\). The distance of the image of point source \({\rm{O}}\) from pole \({\rm{ P }}\)is:
supporting img

1 \(R\)
2 \(2R{\rm{/}}3\)
3 \(2R/\sqrt 3 \)
4 None of these
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364804 A ray of light falls on a transparent sphere with centre at \({\rm{C }}\) as shown in figure. The ray emerges from the sphere parallel to line \(AB\). The refractive index of the sphere is
supporting img

1 \(3/2\)
2 \(1/2\)
3 \(\sqrt 2 \)
4 \(\sqrt 3 \)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364805 A point object \(O\) is placed in front of glass rod having spherical end of radius of curvature \(30\;cm\). The image would be formed at
supporting img

1 Infinity
2 \(30\;cm\,\) left
3 \(18\;cm\) to the left
4 1\({\rm{cm}}\) to the right
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364806 One end of a cylindrical glass rod \(\left( {\mu = 1.5} \right)\) is given the shape of a concave refracing surface of radius \(10\;cm\) . An air bubble is situated in the glass rod at a point on its axis such that it appears to be at distance \(10\;cm\) from the surface and inside glass when seen from the other medium. Find the actual location of air bubble, from the surface.

1 20 \(cm\) outside the glass
2 10 \(cm\) inside the glass
3 40 \(cm\) inside the glass
4 30 \(cm\) inside the glass
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364807 Radii of curvature of a converging lens are in the ratio 1: 2. Its focal length is \(6\;cm\) and refractive index is 1.5. Then its radii of curvature are ________respectively.

1 \(9\;cm\;{\rm{and}}\;18\;cm\)
2 \(6\;cm\;{\rm{and}}\;12\;cm\)
3 \(3\;cm\;{\rm{and}}\;6\;cm\)
4 \(4.5\;cm\;{\rm{and}}\;9\;cm\)