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

282355 A convex lens has power \(P\). It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect options for the reported pieces.

1 Power of \(\mathrm{L}_1=\frac{\mathrm{P}}{2}\)
2 Power of \(\mathrm{L}_2=\frac{\mathrm{P}}{2}\)
3 Power of \(\mathrm{L}_3=\frac{\mathrm{P}}{2}\)
4 Power of \(\mathrm{L}_1=\mathrm{P}\)
Ray Optics

282356 A convex lens focuses an object \(20 \mathrm{~cm}\) from it on a screen placed \(5 \mathrm{~cm}\) away from it. A glass plate (refractive index \(=\frac{7}{5}\) ) of thickness \(1.4 \mathrm{~cm}\) is inserted between the lens and the screen. What is the distance of the object from the lens, so that its image is again focused on the screen?

1 \(22.5 \mathrm{~cm}\)
2 \(30.7 \mathrm{~cm}\)
3 \(25.0 \mathrm{~cm}\)
4 \(28.4 \mathrm{~cm}\)
Ray Optics

282357 What is the refractive index of the material of a double convex lens having radii of curvature of \(5 \mathrm{~cm}\) and \(10 \mathrm{~cm}\) and focal length of \(\frac{20}{3} \mathrm{~cm}\)

1 1.5
2 2.0
3 2.4
4 2.6
Ray Optics

282358 A point object is placed at a distance of \(60 \mathrm{~cm}\) from a convex lens of focal length \(30 \mathrm{~cm}\), if a plane of focal length \(30 \mathrm{~cm}\). If a plane mirror were put perpendicular to the principal axis of the lens and at distance of \(40 \mathrm{~cm}\) from it, the final image would be formed at a distance of

1 \(20 \mathrm{~cm}\) from the lens, it would be a real image
2 \(30 \mathrm{~cm}\) from the lens, it would be a real image
3 \(30 \mathrm{~cm}\) from the plane mirror, it would be a virtual image
4 \(20 \mathrm{~cm}\) from the plane mirror, it would be a virtual image
Ray Optics

282355 A convex lens has power \(P\). It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect options for the reported pieces.

1 Power of \(\mathrm{L}_1=\frac{\mathrm{P}}{2}\)
2 Power of \(\mathrm{L}_2=\frac{\mathrm{P}}{2}\)
3 Power of \(\mathrm{L}_3=\frac{\mathrm{P}}{2}\)
4 Power of \(\mathrm{L}_1=\mathrm{P}\)
Ray Optics

282356 A convex lens focuses an object \(20 \mathrm{~cm}\) from it on a screen placed \(5 \mathrm{~cm}\) away from it. A glass plate (refractive index \(=\frac{7}{5}\) ) of thickness \(1.4 \mathrm{~cm}\) is inserted between the lens and the screen. What is the distance of the object from the lens, so that its image is again focused on the screen?

1 \(22.5 \mathrm{~cm}\)
2 \(30.7 \mathrm{~cm}\)
3 \(25.0 \mathrm{~cm}\)
4 \(28.4 \mathrm{~cm}\)
Ray Optics

282357 What is the refractive index of the material of a double convex lens having radii of curvature of \(5 \mathrm{~cm}\) and \(10 \mathrm{~cm}\) and focal length of \(\frac{20}{3} \mathrm{~cm}\)

1 1.5
2 2.0
3 2.4
4 2.6
Ray Optics

282358 A point object is placed at a distance of \(60 \mathrm{~cm}\) from a convex lens of focal length \(30 \mathrm{~cm}\), if a plane of focal length \(30 \mathrm{~cm}\). If a plane mirror were put perpendicular to the principal axis of the lens and at distance of \(40 \mathrm{~cm}\) from it, the final image would be formed at a distance of

1 \(20 \mathrm{~cm}\) from the lens, it would be a real image
2 \(30 \mathrm{~cm}\) from the lens, it would be a real image
3 \(30 \mathrm{~cm}\) from the plane mirror, it would be a virtual image
4 \(20 \mathrm{~cm}\) from the plane mirror, it would be a virtual image
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Ray Optics

282355 A convex lens has power \(P\). It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect options for the reported pieces.

1 Power of \(\mathrm{L}_1=\frac{\mathrm{P}}{2}\)
2 Power of \(\mathrm{L}_2=\frac{\mathrm{P}}{2}\)
3 Power of \(\mathrm{L}_3=\frac{\mathrm{P}}{2}\)
4 Power of \(\mathrm{L}_1=\mathrm{P}\)
Ray Optics

282356 A convex lens focuses an object \(20 \mathrm{~cm}\) from it on a screen placed \(5 \mathrm{~cm}\) away from it. A glass plate (refractive index \(=\frac{7}{5}\) ) of thickness \(1.4 \mathrm{~cm}\) is inserted between the lens and the screen. What is the distance of the object from the lens, so that its image is again focused on the screen?

1 \(22.5 \mathrm{~cm}\)
2 \(30.7 \mathrm{~cm}\)
3 \(25.0 \mathrm{~cm}\)
4 \(28.4 \mathrm{~cm}\)
Ray Optics

282357 What is the refractive index of the material of a double convex lens having radii of curvature of \(5 \mathrm{~cm}\) and \(10 \mathrm{~cm}\) and focal length of \(\frac{20}{3} \mathrm{~cm}\)

1 1.5
2 2.0
3 2.4
4 2.6
Ray Optics

282358 A point object is placed at a distance of \(60 \mathrm{~cm}\) from a convex lens of focal length \(30 \mathrm{~cm}\), if a plane of focal length \(30 \mathrm{~cm}\). If a plane mirror were put perpendicular to the principal axis of the lens and at distance of \(40 \mathrm{~cm}\) from it, the final image would be formed at a distance of

1 \(20 \mathrm{~cm}\) from the lens, it would be a real image
2 \(30 \mathrm{~cm}\) from the lens, it would be a real image
3 \(30 \mathrm{~cm}\) from the plane mirror, it would be a virtual image
4 \(20 \mathrm{~cm}\) from the plane mirror, it would be a virtual image
Ray Optics

282355 A convex lens has power \(P\). It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect options for the reported pieces.

1 Power of \(\mathrm{L}_1=\frac{\mathrm{P}}{2}\)
2 Power of \(\mathrm{L}_2=\frac{\mathrm{P}}{2}\)
3 Power of \(\mathrm{L}_3=\frac{\mathrm{P}}{2}\)
4 Power of \(\mathrm{L}_1=\mathrm{P}\)
Ray Optics

282356 A convex lens focuses an object \(20 \mathrm{~cm}\) from it on a screen placed \(5 \mathrm{~cm}\) away from it. A glass plate (refractive index \(=\frac{7}{5}\) ) of thickness \(1.4 \mathrm{~cm}\) is inserted between the lens and the screen. What is the distance of the object from the lens, so that its image is again focused on the screen?

1 \(22.5 \mathrm{~cm}\)
2 \(30.7 \mathrm{~cm}\)
3 \(25.0 \mathrm{~cm}\)
4 \(28.4 \mathrm{~cm}\)
Ray Optics

282357 What is the refractive index of the material of a double convex lens having radii of curvature of \(5 \mathrm{~cm}\) and \(10 \mathrm{~cm}\) and focal length of \(\frac{20}{3} \mathrm{~cm}\)

1 1.5
2 2.0
3 2.4
4 2.6
Ray Optics

282358 A point object is placed at a distance of \(60 \mathrm{~cm}\) from a convex lens of focal length \(30 \mathrm{~cm}\), if a plane of focal length \(30 \mathrm{~cm}\). If a plane mirror were put perpendicular to the principal axis of the lens and at distance of \(40 \mathrm{~cm}\) from it, the final image would be formed at a distance of

1 \(20 \mathrm{~cm}\) from the lens, it would be a real image
2 \(30 \mathrm{~cm}\) from the lens, it would be a real image
3 \(30 \mathrm{~cm}\) from the plane mirror, it would be a virtual image
4 \(20 \mathrm{~cm}\) from the plane mirror, it would be a virtual image