Refraction at curved surfaces
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364752 Two thin lenses have a combined powder of +9D. When they are separated by a distance of \(20\;cm\), their equivalent power becomes \( + \frac{{27}}{5}D\) . Their individual powers (in dioptres) are

1 1, 8
2 2, 7
3 3, 6
4 4, 5
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364753 Two thin biconvex lens have focal lengths \({f_1}\) and \({f_2}\) . A third thin biconcave lens has focal length of \({f_3}\). If the first two biconvex lenses are in contact, the total power of the lenses is \({P_1}\) . If the first convex lens is in contact with the third lens, the total power is \({P_2}\) . If the second lens is in contact with the third lens, the total power is \({P_3}\) then

1 \({P_1} = \frac{{{f_1}{f_2}}}{{{f_1} - {f_2}}},{P_2} = \frac{{{f_1}{f_3}}}{{{f_3} - {f_1}}},{P_3} = \frac{{{f_2}{f_3}}}{{{f_3} - {f_2}}}\)
2 \({P_1} = \frac{{{f_1} - {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_3} + {f_1}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
3 \({P_1} = \frac{{{f_1} - {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_1}{f_3}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
4 \({P_1} = \frac{{{f_1} + {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_1}{f_3}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364754 A convex lens ‘\(A\)’ of focal length \(20\;cm\) and a concave lens ‘\(B\)’ of focal length \(5\;cm\) are kept along the same axis with a distance ‘\(d\)’ between them. If a parallel beam of light falling-on ‘\(A\)’ leaves ‘\(B\)’ as a parallel beam, then the distance ‘\(d\)’ in cm will be

1 15
2 50
3 30
4 25
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364755 If the central portion of a convex lens is wrapped in black paper as shown in the figure
supporting img

1 The full image will be formed but it will be less bright
2 No image will be formed by the remaining portion of the lens
3 There will be two images each produced by one of the exposed portions of the lens
4 The central portion of the image will be missing
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364752 Two thin lenses have a combined powder of +9D. When they are separated by a distance of \(20\;cm\), their equivalent power becomes \( + \frac{{27}}{5}D\) . Their individual powers (in dioptres) are

1 1, 8
2 2, 7
3 3, 6
4 4, 5
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364753 Two thin biconvex lens have focal lengths \({f_1}\) and \({f_2}\) . A third thin biconcave lens has focal length of \({f_3}\). If the first two biconvex lenses are in contact, the total power of the lenses is \({P_1}\) . If the first convex lens is in contact with the third lens, the total power is \({P_2}\) . If the second lens is in contact with the third lens, the total power is \({P_3}\) then

1 \({P_1} = \frac{{{f_1}{f_2}}}{{{f_1} - {f_2}}},{P_2} = \frac{{{f_1}{f_3}}}{{{f_3} - {f_1}}},{P_3} = \frac{{{f_2}{f_3}}}{{{f_3} - {f_2}}}\)
2 \({P_1} = \frac{{{f_1} - {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_3} + {f_1}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
3 \({P_1} = \frac{{{f_1} - {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_1}{f_3}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
4 \({P_1} = \frac{{{f_1} + {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_1}{f_3}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364754 A convex lens ‘\(A\)’ of focal length \(20\;cm\) and a concave lens ‘\(B\)’ of focal length \(5\;cm\) are kept along the same axis with a distance ‘\(d\)’ between them. If a parallel beam of light falling-on ‘\(A\)’ leaves ‘\(B\)’ as a parallel beam, then the distance ‘\(d\)’ in cm will be

1 15
2 50
3 30
4 25
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364755 If the central portion of a convex lens is wrapped in black paper as shown in the figure
supporting img

1 The full image will be formed but it will be less bright
2 No image will be formed by the remaining portion of the lens
3 There will be two images each produced by one of the exposed portions of the lens
4 The central portion of the image will be missing
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364752 Two thin lenses have a combined powder of +9D. When they are separated by a distance of \(20\;cm\), their equivalent power becomes \( + \frac{{27}}{5}D\) . Their individual powers (in dioptres) are

1 1, 8
2 2, 7
3 3, 6
4 4, 5
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364753 Two thin biconvex lens have focal lengths \({f_1}\) and \({f_2}\) . A third thin biconcave lens has focal length of \({f_3}\). If the first two biconvex lenses are in contact, the total power of the lenses is \({P_1}\) . If the first convex lens is in contact with the third lens, the total power is \({P_2}\) . If the second lens is in contact with the third lens, the total power is \({P_3}\) then

1 \({P_1} = \frac{{{f_1}{f_2}}}{{{f_1} - {f_2}}},{P_2} = \frac{{{f_1}{f_3}}}{{{f_3} - {f_1}}},{P_3} = \frac{{{f_2}{f_3}}}{{{f_3} - {f_2}}}\)
2 \({P_1} = \frac{{{f_1} - {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_3} + {f_1}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
3 \({P_1} = \frac{{{f_1} - {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_1}{f_3}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
4 \({P_1} = \frac{{{f_1} + {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_1}{f_3}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364754 A convex lens ‘\(A\)’ of focal length \(20\;cm\) and a concave lens ‘\(B\)’ of focal length \(5\;cm\) are kept along the same axis with a distance ‘\(d\)’ between them. If a parallel beam of light falling-on ‘\(A\)’ leaves ‘\(B\)’ as a parallel beam, then the distance ‘\(d\)’ in cm will be

1 15
2 50
3 30
4 25
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364755 If the central portion of a convex lens is wrapped in black paper as shown in the figure
supporting img

1 The full image will be formed but it will be less bright
2 No image will be formed by the remaining portion of the lens
3 There will be two images each produced by one of the exposed portions of the lens
4 The central portion of the image will be missing
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364752 Two thin lenses have a combined powder of +9D. When they are separated by a distance of \(20\;cm\), their equivalent power becomes \( + \frac{{27}}{5}D\) . Their individual powers (in dioptres) are

1 1, 8
2 2, 7
3 3, 6
4 4, 5
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364753 Two thin biconvex lens have focal lengths \({f_1}\) and \({f_2}\) . A third thin biconcave lens has focal length of \({f_3}\). If the first two biconvex lenses are in contact, the total power of the lenses is \({P_1}\) . If the first convex lens is in contact with the third lens, the total power is \({P_2}\) . If the second lens is in contact with the third lens, the total power is \({P_3}\) then

1 \({P_1} = \frac{{{f_1}{f_2}}}{{{f_1} - {f_2}}},{P_2} = \frac{{{f_1}{f_3}}}{{{f_3} - {f_1}}},{P_3} = \frac{{{f_2}{f_3}}}{{{f_3} - {f_2}}}\)
2 \({P_1} = \frac{{{f_1} - {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_3} + {f_1}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
3 \({P_1} = \frac{{{f_1} - {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_1}{f_3}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
4 \({P_1} = \frac{{{f_1} + {f_2}}}{{{f_1}{f_2}}},{P_2} = \frac{{{f_3} - {f_1}}}{{{f_1}{f_3}}},{P_3} = \frac{{{f_3} - {f_2}}}{{{f_2}{f_3}}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364754 A convex lens ‘\(A\)’ of focal length \(20\;cm\) and a concave lens ‘\(B\)’ of focal length \(5\;cm\) are kept along the same axis with a distance ‘\(d\)’ between them. If a parallel beam of light falling-on ‘\(A\)’ leaves ‘\(B\)’ as a parallel beam, then the distance ‘\(d\)’ in cm will be

1 15
2 50
3 30
4 25
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364755 If the central portion of a convex lens is wrapped in black paper as shown in the figure
supporting img

1 The full image will be formed but it will be less bright
2 No image will be formed by the remaining portion of the lens
3 There will be two images each produced by one of the exposed portions of the lens
4 The central portion of the image will be missing