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

282501 If the radius of curvature of the curved surface of a plano-convex lens is \(50 \mathrm{~cm}\), its focal length is \((\mu=1.5)\)

1 \(0.5 \mathrm{~m}\)
2 \(0.75 \mathrm{~m}\)
3 \(1.25 \mathrm{~m}\)
4 \(0.25 \mathrm{~m}\)
(e) \(1 \mathrm{~m}\)
Ray Optics

282502 The focal length of the lens of refractive index \((\mu=1.5)\) in air is \(10 \mathrm{~cm}\). If air is replaced by water of \(\mu=\frac{4}{3}\), its focal length is

1 \(20 \mathrm{~cm}\)
2 \(30 \mathrm{~cm}\)
3 \(40 \mathrm{~cm}\)
4 \(25 \mathrm{~cm}\)
(e) \(35 \mathrm{~cm}\)
Ray Optics

282503 Two plano-concave lenses (1 and 2) of glass of refractive index 1.5 have radii of curvature 25 \(\mathrm{cm}\) and \(20 \mathrm{~cm}\). They are placed in contact with their curved surfaces towards each other and the space between them is filled with liquid of refractive index \(\frac{4}{3}\). Then the combination is

1 convex of focal length \(70 \mathrm{~cm}\)
2 concave of focal length \(70 \mathrm{~cm}\)
3 concave of focal length \(66.6 \mathrm{~cm}\)
4 convex of focal length \(66.6 \mathrm{~cm}\)
(e) concave of focal length \(72.5 \mathrm{~cm}\)
Ray Optics

282504 The position of final image formed by the given lens combination from the third lens will be at a distance of \(\left(f_1=+10 \mathrm{~cm}, f_2=-10 \mathrm{~cm}, f_3=+30\right.\) cm)

1 \(15 \mathrm{~cm}\)
2 infinity
3 \(45 \mathrm{~cm}\)
4 \(30 \mathrm{~cm}\)
(e) \(35 \mathrm{~cm}\)
Ray Optics

282501 If the radius of curvature of the curved surface of a plano-convex lens is \(50 \mathrm{~cm}\), its focal length is \((\mu=1.5)\)

1 \(0.5 \mathrm{~m}\)
2 \(0.75 \mathrm{~m}\)
3 \(1.25 \mathrm{~m}\)
4 \(0.25 \mathrm{~m}\)
(e) \(1 \mathrm{~m}\)
Ray Optics

282502 The focal length of the lens of refractive index \((\mu=1.5)\) in air is \(10 \mathrm{~cm}\). If air is replaced by water of \(\mu=\frac{4}{3}\), its focal length is

1 \(20 \mathrm{~cm}\)
2 \(30 \mathrm{~cm}\)
3 \(40 \mathrm{~cm}\)
4 \(25 \mathrm{~cm}\)
(e) \(35 \mathrm{~cm}\)
Ray Optics

282503 Two plano-concave lenses (1 and 2) of glass of refractive index 1.5 have radii of curvature 25 \(\mathrm{cm}\) and \(20 \mathrm{~cm}\). They are placed in contact with their curved surfaces towards each other and the space between them is filled with liquid of refractive index \(\frac{4}{3}\). Then the combination is

1 convex of focal length \(70 \mathrm{~cm}\)
2 concave of focal length \(70 \mathrm{~cm}\)
3 concave of focal length \(66.6 \mathrm{~cm}\)
4 convex of focal length \(66.6 \mathrm{~cm}\)
(e) concave of focal length \(72.5 \mathrm{~cm}\)
Ray Optics

282504 The position of final image formed by the given lens combination from the third lens will be at a distance of \(\left(f_1=+10 \mathrm{~cm}, f_2=-10 \mathrm{~cm}, f_3=+30\right.\) cm)

1 \(15 \mathrm{~cm}\)
2 infinity
3 \(45 \mathrm{~cm}\)
4 \(30 \mathrm{~cm}\)
(e) \(35 \mathrm{~cm}\)
Ray Optics

282501 If the radius of curvature of the curved surface of a plano-convex lens is \(50 \mathrm{~cm}\), its focal length is \((\mu=1.5)\)

1 \(0.5 \mathrm{~m}\)
2 \(0.75 \mathrm{~m}\)
3 \(1.25 \mathrm{~m}\)
4 \(0.25 \mathrm{~m}\)
(e) \(1 \mathrm{~m}\)
Ray Optics

282502 The focal length of the lens of refractive index \((\mu=1.5)\) in air is \(10 \mathrm{~cm}\). If air is replaced by water of \(\mu=\frac{4}{3}\), its focal length is

1 \(20 \mathrm{~cm}\)
2 \(30 \mathrm{~cm}\)
3 \(40 \mathrm{~cm}\)
4 \(25 \mathrm{~cm}\)
(e) \(35 \mathrm{~cm}\)
Ray Optics

282503 Two plano-concave lenses (1 and 2) of glass of refractive index 1.5 have radii of curvature 25 \(\mathrm{cm}\) and \(20 \mathrm{~cm}\). They are placed in contact with their curved surfaces towards each other and the space between them is filled with liquid of refractive index \(\frac{4}{3}\). Then the combination is

1 convex of focal length \(70 \mathrm{~cm}\)
2 concave of focal length \(70 \mathrm{~cm}\)
3 concave of focal length \(66.6 \mathrm{~cm}\)
4 convex of focal length \(66.6 \mathrm{~cm}\)
(e) concave of focal length \(72.5 \mathrm{~cm}\)
Ray Optics

282504 The position of final image formed by the given lens combination from the third lens will be at a distance of \(\left(f_1=+10 \mathrm{~cm}, f_2=-10 \mathrm{~cm}, f_3=+30\right.\) cm)

1 \(15 \mathrm{~cm}\)
2 infinity
3 \(45 \mathrm{~cm}\)
4 \(30 \mathrm{~cm}\)
(e) \(35 \mathrm{~cm}\)
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Ray Optics

282501 If the radius of curvature of the curved surface of a plano-convex lens is \(50 \mathrm{~cm}\), its focal length is \((\mu=1.5)\)

1 \(0.5 \mathrm{~m}\)
2 \(0.75 \mathrm{~m}\)
3 \(1.25 \mathrm{~m}\)
4 \(0.25 \mathrm{~m}\)
(e) \(1 \mathrm{~m}\)
Ray Optics

282502 The focal length of the lens of refractive index \((\mu=1.5)\) in air is \(10 \mathrm{~cm}\). If air is replaced by water of \(\mu=\frac{4}{3}\), its focal length is

1 \(20 \mathrm{~cm}\)
2 \(30 \mathrm{~cm}\)
3 \(40 \mathrm{~cm}\)
4 \(25 \mathrm{~cm}\)
(e) \(35 \mathrm{~cm}\)
Ray Optics

282503 Two plano-concave lenses (1 and 2) of glass of refractive index 1.5 have radii of curvature 25 \(\mathrm{cm}\) and \(20 \mathrm{~cm}\). They are placed in contact with their curved surfaces towards each other and the space between them is filled with liquid of refractive index \(\frac{4}{3}\). Then the combination is

1 convex of focal length \(70 \mathrm{~cm}\)
2 concave of focal length \(70 \mathrm{~cm}\)
3 concave of focal length \(66.6 \mathrm{~cm}\)
4 convex of focal length \(66.6 \mathrm{~cm}\)
(e) concave of focal length \(72.5 \mathrm{~cm}\)
Ray Optics

282504 The position of final image formed by the given lens combination from the third lens will be at a distance of \(\left(f_1=+10 \mathrm{~cm}, f_2=-10 \mathrm{~cm}, f_3=+30\right.\) cm)

1 \(15 \mathrm{~cm}\)
2 infinity
3 \(45 \mathrm{~cm}\)
4 \(30 \mathrm{~cm}\)
(e) \(35 \mathrm{~cm}\)