Spherical Surface and Lenses, Lens Formula, Magnification, Combination of Lens.
Ray Optics

282375 A bi-convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will be

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282376 In a laboratory four convex lenses \(\mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3\), and \(\mathrm{L}_4\) of focal lengths \(2,4,6\) and \(8 \mathrm{~cm}\), respectively are available. Two of these lenses form a telescope of length \(10 \mathrm{~cm}\) and magnifying power 4 . The objective and eye lenses are respectively

1 \(\mathrm{L}_2, \mathrm{~L}_3\)
2 \(\mathrm{L}_1, \mathrm{~L}_4\)
3 \(\mathrm{L}_1, \mathrm{~L}_2\)
4 \(\mathrm{L}_4, \mathrm{~L}_1\)
Ray Optics

282377 A thin convex lens is placed just above an empty vessel of depth \(80 \mathrm{~cm}\). The image of a coin kept at the bottom of the vessel is thus formed \(20 \mathrm{~cm}\) above the lens. If now water is poured in the vessel upto a height of \(64 \mathrm{~cm}\), what will be the approximate new position of the image? Assume that refractive index of water is \(4 / 3\).

1 \(21.33 \mathrm{~cm}\), above the lens
2 \(6.67 \mathrm{~cm}\), below the lens
3 \(33.67 \mathrm{~cm}\), above the lens
4 \(24 \mathrm{~cm}\), above the lens
Ray Optics

282378 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16 \mathrm{~cm}\) is introduced in the path of the beam at a place shown by dotted line such that OP becomes the axis of the lens, the beam converges at a distance \(x\) from the lens. The value of \(x\) will be eaual to :

1 \(12 \mathrm{~cm}\)
2 \(24 \mathrm{~cm}\)
3 \(36 \mathrm{~cm}\)
4 \(48 \mathrm{~cm}\)
Ray Optics

282379 An object approaches a convergent lens from the left of the lens with a uniform speed \(5 \mathrm{~m} / \mathrm{s}\) and stops at the focus, the image :

1 moves away from the lens with an uniform speed \(5 \mathrm{~m} / \mathrm{s}\)
2 moves away from the lens with an uniform acceleration
3 moves away from the lens with a non-uniform acceleration
4 moves towards the lens with a non-uniform acceleration
Ray Optics

282375 A bi-convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will be

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282376 In a laboratory four convex lenses \(\mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3\), and \(\mathrm{L}_4\) of focal lengths \(2,4,6\) and \(8 \mathrm{~cm}\), respectively are available. Two of these lenses form a telescope of length \(10 \mathrm{~cm}\) and magnifying power 4 . The objective and eye lenses are respectively

1 \(\mathrm{L}_2, \mathrm{~L}_3\)
2 \(\mathrm{L}_1, \mathrm{~L}_4\)
3 \(\mathrm{L}_1, \mathrm{~L}_2\)
4 \(\mathrm{L}_4, \mathrm{~L}_1\)
Ray Optics

282377 A thin convex lens is placed just above an empty vessel of depth \(80 \mathrm{~cm}\). The image of a coin kept at the bottom of the vessel is thus formed \(20 \mathrm{~cm}\) above the lens. If now water is poured in the vessel upto a height of \(64 \mathrm{~cm}\), what will be the approximate new position of the image? Assume that refractive index of water is \(4 / 3\).

1 \(21.33 \mathrm{~cm}\), above the lens
2 \(6.67 \mathrm{~cm}\), below the lens
3 \(33.67 \mathrm{~cm}\), above the lens
4 \(24 \mathrm{~cm}\), above the lens
Ray Optics

282378 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16 \mathrm{~cm}\) is introduced in the path of the beam at a place shown by dotted line such that OP becomes the axis of the lens, the beam converges at a distance \(x\) from the lens. The value of \(x\) will be eaual to :

1 \(12 \mathrm{~cm}\)
2 \(24 \mathrm{~cm}\)
3 \(36 \mathrm{~cm}\)
4 \(48 \mathrm{~cm}\)
Ray Optics

282379 An object approaches a convergent lens from the left of the lens with a uniform speed \(5 \mathrm{~m} / \mathrm{s}\) and stops at the focus, the image :

1 moves away from the lens with an uniform speed \(5 \mathrm{~m} / \mathrm{s}\)
2 moves away from the lens with an uniform acceleration
3 moves away from the lens with a non-uniform acceleration
4 moves towards the lens with a non-uniform acceleration
Ray Optics

282375 A bi-convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will be

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282376 In a laboratory four convex lenses \(\mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3\), and \(\mathrm{L}_4\) of focal lengths \(2,4,6\) and \(8 \mathrm{~cm}\), respectively are available. Two of these lenses form a telescope of length \(10 \mathrm{~cm}\) and magnifying power 4 . The objective and eye lenses are respectively

1 \(\mathrm{L}_2, \mathrm{~L}_3\)
2 \(\mathrm{L}_1, \mathrm{~L}_4\)
3 \(\mathrm{L}_1, \mathrm{~L}_2\)
4 \(\mathrm{L}_4, \mathrm{~L}_1\)
Ray Optics

282377 A thin convex lens is placed just above an empty vessel of depth \(80 \mathrm{~cm}\). The image of a coin kept at the bottom of the vessel is thus formed \(20 \mathrm{~cm}\) above the lens. If now water is poured in the vessel upto a height of \(64 \mathrm{~cm}\), what will be the approximate new position of the image? Assume that refractive index of water is \(4 / 3\).

1 \(21.33 \mathrm{~cm}\), above the lens
2 \(6.67 \mathrm{~cm}\), below the lens
3 \(33.67 \mathrm{~cm}\), above the lens
4 \(24 \mathrm{~cm}\), above the lens
Ray Optics

282378 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16 \mathrm{~cm}\) is introduced in the path of the beam at a place shown by dotted line such that OP becomes the axis of the lens, the beam converges at a distance \(x\) from the lens. The value of \(x\) will be eaual to :

1 \(12 \mathrm{~cm}\)
2 \(24 \mathrm{~cm}\)
3 \(36 \mathrm{~cm}\)
4 \(48 \mathrm{~cm}\)
Ray Optics

282379 An object approaches a convergent lens from the left of the lens with a uniform speed \(5 \mathrm{~m} / \mathrm{s}\) and stops at the focus, the image :

1 moves away from the lens with an uniform speed \(5 \mathrm{~m} / \mathrm{s}\)
2 moves away from the lens with an uniform acceleration
3 moves away from the lens with a non-uniform acceleration
4 moves towards the lens with a non-uniform acceleration
Ray Optics

282375 A bi-convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will be

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282376 In a laboratory four convex lenses \(\mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3\), and \(\mathrm{L}_4\) of focal lengths \(2,4,6\) and \(8 \mathrm{~cm}\), respectively are available. Two of these lenses form a telescope of length \(10 \mathrm{~cm}\) and magnifying power 4 . The objective and eye lenses are respectively

1 \(\mathrm{L}_2, \mathrm{~L}_3\)
2 \(\mathrm{L}_1, \mathrm{~L}_4\)
3 \(\mathrm{L}_1, \mathrm{~L}_2\)
4 \(\mathrm{L}_4, \mathrm{~L}_1\)
Ray Optics

282377 A thin convex lens is placed just above an empty vessel of depth \(80 \mathrm{~cm}\). The image of a coin kept at the bottom of the vessel is thus formed \(20 \mathrm{~cm}\) above the lens. If now water is poured in the vessel upto a height of \(64 \mathrm{~cm}\), what will be the approximate new position of the image? Assume that refractive index of water is \(4 / 3\).

1 \(21.33 \mathrm{~cm}\), above the lens
2 \(6.67 \mathrm{~cm}\), below the lens
3 \(33.67 \mathrm{~cm}\), above the lens
4 \(24 \mathrm{~cm}\), above the lens
Ray Optics

282378 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16 \mathrm{~cm}\) is introduced in the path of the beam at a place shown by dotted line such that OP becomes the axis of the lens, the beam converges at a distance \(x\) from the lens. The value of \(x\) will be eaual to :

1 \(12 \mathrm{~cm}\)
2 \(24 \mathrm{~cm}\)
3 \(36 \mathrm{~cm}\)
4 \(48 \mathrm{~cm}\)
Ray Optics

282379 An object approaches a convergent lens from the left of the lens with a uniform speed \(5 \mathrm{~m} / \mathrm{s}\) and stops at the focus, the image :

1 moves away from the lens with an uniform speed \(5 \mathrm{~m} / \mathrm{s}\)
2 moves away from the lens with an uniform acceleration
3 moves away from the lens with a non-uniform acceleration
4 moves towards the lens with a non-uniform acceleration
Ray Optics

282375 A bi-convex lens made of glass (refractive index 1.5 ) is put in a liquid of refractive index 1.7. Its focal length will be

1 decrease and change sign
2 increase and change sign
3 decrease and remain of the same sign
4 increase and remain of the same sign
Ray Optics

282376 In a laboratory four convex lenses \(\mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3\), and \(\mathrm{L}_4\) of focal lengths \(2,4,6\) and \(8 \mathrm{~cm}\), respectively are available. Two of these lenses form a telescope of length \(10 \mathrm{~cm}\) and magnifying power 4 . The objective and eye lenses are respectively

1 \(\mathrm{L}_2, \mathrm{~L}_3\)
2 \(\mathrm{L}_1, \mathrm{~L}_4\)
3 \(\mathrm{L}_1, \mathrm{~L}_2\)
4 \(\mathrm{L}_4, \mathrm{~L}_1\)
Ray Optics

282377 A thin convex lens is placed just above an empty vessel of depth \(80 \mathrm{~cm}\). The image of a coin kept at the bottom of the vessel is thus formed \(20 \mathrm{~cm}\) above the lens. If now water is poured in the vessel upto a height of \(64 \mathrm{~cm}\), what will be the approximate new position of the image? Assume that refractive index of water is \(4 / 3\).

1 \(21.33 \mathrm{~cm}\), above the lens
2 \(6.67 \mathrm{~cm}\), below the lens
3 \(33.67 \mathrm{~cm}\), above the lens
4 \(24 \mathrm{~cm}\), above the lens
Ray Optics

282378 The following figure shows a beam of light converging at point \(P\). When a concave lens of focal length \(16 \mathrm{~cm}\) is introduced in the path of the beam at a place shown by dotted line such that OP becomes the axis of the lens, the beam converges at a distance \(x\) from the lens. The value of \(x\) will be eaual to :

1 \(12 \mathrm{~cm}\)
2 \(24 \mathrm{~cm}\)
3 \(36 \mathrm{~cm}\)
4 \(48 \mathrm{~cm}\)
Ray Optics

282379 An object approaches a convergent lens from the left of the lens with a uniform speed \(5 \mathrm{~m} / \mathrm{s}\) and stops at the focus, the image :

1 moves away from the lens with an uniform speed \(5 \mathrm{~m} / \mathrm{s}\)
2 moves away from the lens with an uniform acceleration
3 moves away from the lens with a non-uniform acceleration
4 moves towards the lens with a non-uniform acceleration