Refraction at curved surfaces
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364756 If two lenses of +5 dioptres are mounted at some distance apart, the equivalent power will always be negative if the distance is

1 Equal to \({\rm{40}}\;{\rm{cm}}\)
2 Greater than \({\rm{40}}\;{\rm{cm}}\)
3 Less than \({\rm{10}}\;{\rm{cm}}\)
4 Equal to \({\rm{10}}\;{\rm{cm}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364757 Water \({\left(\mu=\dfrac{4}{3}\right)}\) is placed between two identical planoconvex lens \({\left(\mu=\dfrac{3}{2}\right)}\) as shown in the figure. The arrangement acts as
supporting img

1 Converging lens
2 Diverging lens
3 Plane slab
4 May act as converging or diverging lens
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364758 Two thin lenses of power \( + 5\,D\) and \( - 2\,D\) are placed in contact with each other. The combination behaves like

1 Convex lens of focal length \(3\;cm\).
2 Concave lens of focal length \(0.33\;cm\).
3 Convex lens of focal length \(0.33\;cm\).
4 None of the above.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364759 A convex lens of focal length ‘\(f\)’ is placed in contact with a concave lens of the same focal length. The equivalent focal length of the combination is

1 \(f\)
2 infinity
3 \(\frac{f}{2}\)
4 zero
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364760 Two identical glass \(\left( {{\mu _g} = \frac{3}{2}} \right)\) equiconvex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water \(\left( {{\mu _w} = \frac{4}{3}} \right)\).The focal length of the combination is

1 \(\frac{f}{3}\)
2 \(f\)
3 \(\frac{{4f}}{3}\)
4 \(\frac{{3f}}{4}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364756 If two lenses of +5 dioptres are mounted at some distance apart, the equivalent power will always be negative if the distance is

1 Equal to \({\rm{40}}\;{\rm{cm}}\)
2 Greater than \({\rm{40}}\;{\rm{cm}}\)
3 Less than \({\rm{10}}\;{\rm{cm}}\)
4 Equal to \({\rm{10}}\;{\rm{cm}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364757 Water \({\left(\mu=\dfrac{4}{3}\right)}\) is placed between two identical planoconvex lens \({\left(\mu=\dfrac{3}{2}\right)}\) as shown in the figure. The arrangement acts as
supporting img

1 Converging lens
2 Diverging lens
3 Plane slab
4 May act as converging or diverging lens
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364758 Two thin lenses of power \( + 5\,D\) and \( - 2\,D\) are placed in contact with each other. The combination behaves like

1 Convex lens of focal length \(3\;cm\).
2 Concave lens of focal length \(0.33\;cm\).
3 Convex lens of focal length \(0.33\;cm\).
4 None of the above.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364759 A convex lens of focal length ‘\(f\)’ is placed in contact with a concave lens of the same focal length. The equivalent focal length of the combination is

1 \(f\)
2 infinity
3 \(\frac{f}{2}\)
4 zero
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364760 Two identical glass \(\left( {{\mu _g} = \frac{3}{2}} \right)\) equiconvex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water \(\left( {{\mu _w} = \frac{4}{3}} \right)\).The focal length of the combination is

1 \(\frac{f}{3}\)
2 \(f\)
3 \(\frac{{4f}}{3}\)
4 \(\frac{{3f}}{4}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364756 If two lenses of +5 dioptres are mounted at some distance apart, the equivalent power will always be negative if the distance is

1 Equal to \({\rm{40}}\;{\rm{cm}}\)
2 Greater than \({\rm{40}}\;{\rm{cm}}\)
3 Less than \({\rm{10}}\;{\rm{cm}}\)
4 Equal to \({\rm{10}}\;{\rm{cm}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364757 Water \({\left(\mu=\dfrac{4}{3}\right)}\) is placed between two identical planoconvex lens \({\left(\mu=\dfrac{3}{2}\right)}\) as shown in the figure. The arrangement acts as
supporting img

1 Converging lens
2 Diverging lens
3 Plane slab
4 May act as converging or diverging lens
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364758 Two thin lenses of power \( + 5\,D\) and \( - 2\,D\) are placed in contact with each other. The combination behaves like

1 Convex lens of focal length \(3\;cm\).
2 Concave lens of focal length \(0.33\;cm\).
3 Convex lens of focal length \(0.33\;cm\).
4 None of the above.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364759 A convex lens of focal length ‘\(f\)’ is placed in contact with a concave lens of the same focal length. The equivalent focal length of the combination is

1 \(f\)
2 infinity
3 \(\frac{f}{2}\)
4 zero
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364760 Two identical glass \(\left( {{\mu _g} = \frac{3}{2}} \right)\) equiconvex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water \(\left( {{\mu _w} = \frac{4}{3}} \right)\).The focal length of the combination is

1 \(\frac{f}{3}\)
2 \(f\)
3 \(\frac{{4f}}{3}\)
4 \(\frac{{3f}}{4}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364756 If two lenses of +5 dioptres are mounted at some distance apart, the equivalent power will always be negative if the distance is

1 Equal to \({\rm{40}}\;{\rm{cm}}\)
2 Greater than \({\rm{40}}\;{\rm{cm}}\)
3 Less than \({\rm{10}}\;{\rm{cm}}\)
4 Equal to \({\rm{10}}\;{\rm{cm}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364757 Water \({\left(\mu=\dfrac{4}{3}\right)}\) is placed between two identical planoconvex lens \({\left(\mu=\dfrac{3}{2}\right)}\) as shown in the figure. The arrangement acts as
supporting img

1 Converging lens
2 Diverging lens
3 Plane slab
4 May act as converging or diverging lens
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364758 Two thin lenses of power \( + 5\,D\) and \( - 2\,D\) are placed in contact with each other. The combination behaves like

1 Convex lens of focal length \(3\;cm\).
2 Concave lens of focal length \(0.33\;cm\).
3 Convex lens of focal length \(0.33\;cm\).
4 None of the above.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364759 A convex lens of focal length ‘\(f\)’ is placed in contact with a concave lens of the same focal length. The equivalent focal length of the combination is

1 \(f\)
2 infinity
3 \(\frac{f}{2}\)
4 zero
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364760 Two identical glass \(\left( {{\mu _g} = \frac{3}{2}} \right)\) equiconvex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water \(\left( {{\mu _w} = \frac{4}{3}} \right)\).The focal length of the combination is

1 \(\frac{f}{3}\)
2 \(f\)
3 \(\frac{{4f}}{3}\)
4 \(\frac{{3f}}{4}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364756 If two lenses of +5 dioptres are mounted at some distance apart, the equivalent power will always be negative if the distance is

1 Equal to \({\rm{40}}\;{\rm{cm}}\)
2 Greater than \({\rm{40}}\;{\rm{cm}}\)
3 Less than \({\rm{10}}\;{\rm{cm}}\)
4 Equal to \({\rm{10}}\;{\rm{cm}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364757 Water \({\left(\mu=\dfrac{4}{3}\right)}\) is placed between two identical planoconvex lens \({\left(\mu=\dfrac{3}{2}\right)}\) as shown in the figure. The arrangement acts as
supporting img

1 Converging lens
2 Diverging lens
3 Plane slab
4 May act as converging or diverging lens
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364758 Two thin lenses of power \( + 5\,D\) and \( - 2\,D\) are placed in contact with each other. The combination behaves like

1 Convex lens of focal length \(3\;cm\).
2 Concave lens of focal length \(0.33\;cm\).
3 Convex lens of focal length \(0.33\;cm\).
4 None of the above.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364759 A convex lens of focal length ‘\(f\)’ is placed in contact with a concave lens of the same focal length. The equivalent focal length of the combination is

1 \(f\)
2 infinity
3 \(\frac{f}{2}\)
4 zero
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364760 Two identical glass \(\left( {{\mu _g} = \frac{3}{2}} \right)\) equiconvex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water \(\left( {{\mu _w} = \frac{4}{3}} \right)\).The focal length of the combination is

1 \(\frac{f}{3}\)
2 \(f\)
3 \(\frac{{4f}}{3}\)
4 \(\frac{{3f}}{4}\)