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

282426 A thin convex lens of refractive index 1.5 has 20 cm focal length in air. If the lens is completely immersed in a liquid of refractive index 1.6, its focal length will be

1 \(-160 \mathrm{~cm}\)
2 \(-100 \mathrm{~cm}\)
3 \(+10 \mathrm{~cm}\)
4 \(+100 \mathrm{~cm}\)
Ray Optics

282427 A Plano-convex lens is made of material of refractive index of 1.6. The radius of curvature of curved surface is \(60 \mathrm{~cm}\). The focal length of the lens is

1 \(400 \mathrm{~cm}\)
2 \(200 \mathrm{~cm}\)
3 \(100 \mathrm{~cm}\)
4 \(50 \mathrm{~cm}\)
Ray Optics

282428 At what distance from a biconvex lens of the focal length \(\mathrm{F}\), must be placed an object for the distance between the object and its real image to be minimum?

1 \(2 \mathrm{~F}\)
2 F
3 \(\frac{\mathrm{F}}{2}\)
4 \(4 \mathrm{~F}\)
Ray Optics

282429 Consider a point object situated at a distance of \(30 \mathrm{~cm}\) from the centre of sphere of radius \(2 \mathrm{~cm}\) and refractive index 1.5 as shown in the figure. If the refractive index of the region surrounding this sphere is 1.4 , then the position of the image due to refraction by sphere with respect to the centre is
![original image](https://cdn.mathpix.com/snip/images/OS9b4DOnSgIk12O7lhY9T51Zak7LwZUS_c2Y5AU4lfM.original.fullsize.png)

1 \(30 \mathrm{~cm}\)
2 \(45 \mathrm{~cm}\)
3 \(\infty\)
4 \(28 \mathrm{~cm}\)
Ray Optics

282426 A thin convex lens of refractive index 1.5 has 20 cm focal length in air. If the lens is completely immersed in a liquid of refractive index 1.6, its focal length will be

1 \(-160 \mathrm{~cm}\)
2 \(-100 \mathrm{~cm}\)
3 \(+10 \mathrm{~cm}\)
4 \(+100 \mathrm{~cm}\)
Ray Optics

282427 A Plano-convex lens is made of material of refractive index of 1.6. The radius of curvature of curved surface is \(60 \mathrm{~cm}\). The focal length of the lens is

1 \(400 \mathrm{~cm}\)
2 \(200 \mathrm{~cm}\)
3 \(100 \mathrm{~cm}\)
4 \(50 \mathrm{~cm}\)
Ray Optics

282428 At what distance from a biconvex lens of the focal length \(\mathrm{F}\), must be placed an object for the distance between the object and its real image to be minimum?

1 \(2 \mathrm{~F}\)
2 F
3 \(\frac{\mathrm{F}}{2}\)
4 \(4 \mathrm{~F}\)
Ray Optics

282429 Consider a point object situated at a distance of \(30 \mathrm{~cm}\) from the centre of sphere of radius \(2 \mathrm{~cm}\) and refractive index 1.5 as shown in the figure. If the refractive index of the region surrounding this sphere is 1.4 , then the position of the image due to refraction by sphere with respect to the centre is
![original image](https://cdn.mathpix.com/snip/images/OS9b4DOnSgIk12O7lhY9T51Zak7LwZUS_c2Y5AU4lfM.original.fullsize.png)

1 \(30 \mathrm{~cm}\)
2 \(45 \mathrm{~cm}\)
3 \(\infty\)
4 \(28 \mathrm{~cm}\)
Ray Optics

282426 A thin convex lens of refractive index 1.5 has 20 cm focal length in air. If the lens is completely immersed in a liquid of refractive index 1.6, its focal length will be

1 \(-160 \mathrm{~cm}\)
2 \(-100 \mathrm{~cm}\)
3 \(+10 \mathrm{~cm}\)
4 \(+100 \mathrm{~cm}\)
Ray Optics

282427 A Plano-convex lens is made of material of refractive index of 1.6. The radius of curvature of curved surface is \(60 \mathrm{~cm}\). The focal length of the lens is

1 \(400 \mathrm{~cm}\)
2 \(200 \mathrm{~cm}\)
3 \(100 \mathrm{~cm}\)
4 \(50 \mathrm{~cm}\)
Ray Optics

282428 At what distance from a biconvex lens of the focal length \(\mathrm{F}\), must be placed an object for the distance between the object and its real image to be minimum?

1 \(2 \mathrm{~F}\)
2 F
3 \(\frac{\mathrm{F}}{2}\)
4 \(4 \mathrm{~F}\)
Ray Optics

282429 Consider a point object situated at a distance of \(30 \mathrm{~cm}\) from the centre of sphere of radius \(2 \mathrm{~cm}\) and refractive index 1.5 as shown in the figure. If the refractive index of the region surrounding this sphere is 1.4 , then the position of the image due to refraction by sphere with respect to the centre is
![original image](https://cdn.mathpix.com/snip/images/OS9b4DOnSgIk12O7lhY9T51Zak7LwZUS_c2Y5AU4lfM.original.fullsize.png)

1 \(30 \mathrm{~cm}\)
2 \(45 \mathrm{~cm}\)
3 \(\infty\)
4 \(28 \mathrm{~cm}\)
Ray Optics

282426 A thin convex lens of refractive index 1.5 has 20 cm focal length in air. If the lens is completely immersed in a liquid of refractive index 1.6, its focal length will be

1 \(-160 \mathrm{~cm}\)
2 \(-100 \mathrm{~cm}\)
3 \(+10 \mathrm{~cm}\)
4 \(+100 \mathrm{~cm}\)
Ray Optics

282427 A Plano-convex lens is made of material of refractive index of 1.6. The radius of curvature of curved surface is \(60 \mathrm{~cm}\). The focal length of the lens is

1 \(400 \mathrm{~cm}\)
2 \(200 \mathrm{~cm}\)
3 \(100 \mathrm{~cm}\)
4 \(50 \mathrm{~cm}\)
Ray Optics

282428 At what distance from a biconvex lens of the focal length \(\mathrm{F}\), must be placed an object for the distance between the object and its real image to be minimum?

1 \(2 \mathrm{~F}\)
2 F
3 \(\frac{\mathrm{F}}{2}\)
4 \(4 \mathrm{~F}\)
Ray Optics

282429 Consider a point object situated at a distance of \(30 \mathrm{~cm}\) from the centre of sphere of radius \(2 \mathrm{~cm}\) and refractive index 1.5 as shown in the figure. If the refractive index of the region surrounding this sphere is 1.4 , then the position of the image due to refraction by sphere with respect to the centre is
![original image](https://cdn.mathpix.com/snip/images/OS9b4DOnSgIk12O7lhY9T51Zak7LwZUS_c2Y5AU4lfM.original.fullsize.png)

1 \(30 \mathrm{~cm}\)
2 \(45 \mathrm{~cm}\)
3 \(\infty\)
4 \(28 \mathrm{~cm}\)