NEETPhysicsGeometrical OpticsMCQ+4 / −1
A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices 1 and 2 and R is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is
- A
- B
- C
- D
View written solutionFree
Correct answer: A

Equivalent focal length is $${1 \over {{f_{eq}}}} = {1 \over {{f_1}}} + {1 \over {{f_2}}}$$
$ \Rightarrow $ ${1 \over {{f_{eq}}}}$ = $$\left( {{\mu _1} - 1} \right)\left( {{1 \over \infty } - {1 \over { - R}}} \right)$$ + $$\left( {{\mu _2} - 1} \right)\left( {{1 \over { - R}} - {1 \over \infty }} \right)$$
$ \Rightarrow $ feq = $${R \over {\left( {{\mu _1} - {\mu _2}} \right)}}$$
More from Geometrical Optics
- A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that its enf closer to the pole is 20 cm away from the mirror. The length of the image is2012 · MCQ
- For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index.2012 · MCQ
- A ray of light is incident at an angle of incidence i, on one face of a prism of angle A (assumed to be small ) and emerges normally from the opposite face. If the refractive index of the prism is . the angle of incidence i, is…2012 · MCQ
- When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index2012 · MCQ
- A concave mirror of focal length 1 is placed at a distance of d from a convex lens of focal length 2. A beam of light coming from infinity and falling on this convex lens concave mirror combination returns to infinity. The…2012 · MCQ
- The magnifying power of a telescope is 9. When it is adjusted for parallel rays the distance between the objective and eyepiece is 20 cm. The focal length of lenses are2012 · MCQ
- A thin prism of angle 15o made of glass of refractive index 1 = 1.5 is combined with another prism of glass of refractive index 2 = 1.75. The combination of the prisms produces dispersion without deviation. The angle of the…2011 · MCQ
- A converging beam of rays is incident on a diverging lens. Having passed through the lens the rays intersect at a point 15 cm from the lens on the opposite side. If the lens is removed the point where the rays meet will move 5 cm closer to…2011 · MCQ