Refraction at curved surfaces
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364799 A plastic hemisphere has a radius of curvature of \(8\;cm\) and an index of refraction of 1.6. On the axis halfway between the plane surface and the spherical one ( \(4\;cm\) from each) is a small object \({\rm{O}}\). The distance between the two images when viewed along the axis from the two sides of the hemisphere is approximately
supporting img

1 \(2.5\;cm\)
2 \(6\;cm\)
3 \(4\;cm\)
4 \(2\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364800 A luminous point object \({O}\) is placed at a distance \({2 R}\) from the spherical boundary separating two transparent media of refractive indices \({n_{1}}\) and \({n_{2}}\) as shown, where \({R}\) is the radius of curvature of the spherical surface. If \({n_{1}=\dfrac{4}{3}, n_{2}=\dfrac{3}{2}}\) and \({R=10 {~cm}}\), the image is obtained at a distance from \({P}\) equal to
supporting img

1 \(30\,cm\) in the rarer medium
2 \(30\,cm\) in the denser medium
3 \(18\,cm\) in the rarer medium
4 \(18\,cm\) in the denser medium
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364801 An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is \({\rm{5}}\;cm\) deep when viewed from the surface and \(3\;cm\) deep when viewed from the opposite face. The thickness (in \(cm\)) of the slab is.

1 8
2 10
3 12
4 16
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364802 A point object is placed at the centre of a glass of radius \(6\;cm\) and refractive index and refractive index 1.5. The distance of the virtual image from the surface of the sphere is

1 \(2\;cm\)
2 \(1.5\;cm\,\)
3 \(6\;cm\)
4 \(12\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364799 A plastic hemisphere has a radius of curvature of \(8\;cm\) and an index of refraction of 1.6. On the axis halfway between the plane surface and the spherical one ( \(4\;cm\) from each) is a small object \({\rm{O}}\). The distance between the two images when viewed along the axis from the two sides of the hemisphere is approximately
supporting img

1 \(2.5\;cm\)
2 \(6\;cm\)
3 \(4\;cm\)
4 \(2\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364800 A luminous point object \({O}\) is placed at a distance \({2 R}\) from the spherical boundary separating two transparent media of refractive indices \({n_{1}}\) and \({n_{2}}\) as shown, where \({R}\) is the radius of curvature of the spherical surface. If \({n_{1}=\dfrac{4}{3}, n_{2}=\dfrac{3}{2}}\) and \({R=10 {~cm}}\), the image is obtained at a distance from \({P}\) equal to
supporting img

1 \(30\,cm\) in the rarer medium
2 \(30\,cm\) in the denser medium
3 \(18\,cm\) in the rarer medium
4 \(18\,cm\) in the denser medium
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364801 An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is \({\rm{5}}\;cm\) deep when viewed from the surface and \(3\;cm\) deep when viewed from the opposite face. The thickness (in \(cm\)) of the slab is.

1 8
2 10
3 12
4 16
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364802 A point object is placed at the centre of a glass of radius \(6\;cm\) and refractive index and refractive index 1.5. The distance of the virtual image from the surface of the sphere is

1 \(2\;cm\)
2 \(1.5\;cm\,\)
3 \(6\;cm\)
4 \(12\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364799 A plastic hemisphere has a radius of curvature of \(8\;cm\) and an index of refraction of 1.6. On the axis halfway between the plane surface and the spherical one ( \(4\;cm\) from each) is a small object \({\rm{O}}\). The distance between the two images when viewed along the axis from the two sides of the hemisphere is approximately
supporting img

1 \(2.5\;cm\)
2 \(6\;cm\)
3 \(4\;cm\)
4 \(2\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364800 A luminous point object \({O}\) is placed at a distance \({2 R}\) from the spherical boundary separating two transparent media of refractive indices \({n_{1}}\) and \({n_{2}}\) as shown, where \({R}\) is the radius of curvature of the spherical surface. If \({n_{1}=\dfrac{4}{3}, n_{2}=\dfrac{3}{2}}\) and \({R=10 {~cm}}\), the image is obtained at a distance from \({P}\) equal to
supporting img

1 \(30\,cm\) in the rarer medium
2 \(30\,cm\) in the denser medium
3 \(18\,cm\) in the rarer medium
4 \(18\,cm\) in the denser medium
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364801 An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is \({\rm{5}}\;cm\) deep when viewed from the surface and \(3\;cm\) deep when viewed from the opposite face. The thickness (in \(cm\)) of the slab is.

1 8
2 10
3 12
4 16
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364802 A point object is placed at the centre of a glass of radius \(6\;cm\) and refractive index and refractive index 1.5. The distance of the virtual image from the surface of the sphere is

1 \(2\;cm\)
2 \(1.5\;cm\,\)
3 \(6\;cm\)
4 \(12\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364799 A plastic hemisphere has a radius of curvature of \(8\;cm\) and an index of refraction of 1.6. On the axis halfway between the plane surface and the spherical one ( \(4\;cm\) from each) is a small object \({\rm{O}}\). The distance between the two images when viewed along the axis from the two sides of the hemisphere is approximately
supporting img

1 \(2.5\;cm\)
2 \(6\;cm\)
3 \(4\;cm\)
4 \(2\;cm\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364800 A luminous point object \({O}\) is placed at a distance \({2 R}\) from the spherical boundary separating two transparent media of refractive indices \({n_{1}}\) and \({n_{2}}\) as shown, where \({R}\) is the radius of curvature of the spherical surface. If \({n_{1}=\dfrac{4}{3}, n_{2}=\dfrac{3}{2}}\) and \({R=10 {~cm}}\), the image is obtained at a distance from \({P}\) equal to
supporting img

1 \(30\,cm\) in the rarer medium
2 \(30\,cm\) in the denser medium
3 \(18\,cm\) in the rarer medium
4 \(18\,cm\) in the denser medium
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364801 An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is \({\rm{5}}\;cm\) deep when viewed from the surface and \(3\;cm\) deep when viewed from the opposite face. The thickness (in \(cm\)) of the slab is.

1 8
2 10
3 12
4 16
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364802 A point object is placed at the centre of a glass of radius \(6\;cm\) and refractive index and refractive index 1.5. The distance of the virtual image from the surface of the sphere is

1 \(2\;cm\)
2 \(1.5\;cm\,\)
3 \(6\;cm\)
4 \(12\;cm\)