EASY
Earn 100

Explain paraxial approximation.

Important Questions on Reflection of Light at Curved Surfaces

HARD
An object is placed at a distance of 5 cm more than the focal length f of a convex lens. Its real image is formed at a distance 3f beyond the focus. The focal length f of the lens is:
MEDIUM
A square card of side length 1 mm is being seen through a magnifying lens of focal length 10 cm. The card is placed at a distance of 9 cm from the lens. The apparent area of the card through the lens is:
MEDIUM
Light from a point source in air falls on a convex spherical glass surface whose radius of curvature and refractive index are 20 cm and 1.5 respectively. If the distance of light source from the glass surface is 100 cm, then the position of image will be formed at:
EASY

Which of the following is the Lens maker’s formula?

MEDIUM
A man is trying to start a fire by focusing sunlight on a piece of paper using an equi-convex lens of focal length 10 cm. The diameter of the sun is 1.39×109 m and its mean distance from the earth is 1.5×1011 m. The diameter of the sun's image on the paper is (close to)
HARD
A convex lens of focal length 0.2 cm and made of glass (aμw=1.5) is immersed in water (aμw=1.33). Find the change in the focal length of the lens.
HARD
The focal length of a convex lens of glass of refractive index 1.50 is 2 cm. The focal length of the lens when immersed in a liquid of refractive index 1.25 will be:
MEDIUM
A real image of an object is formed at a distance of 20 cm from a lens. On putting another lens in contact with it, image is shifted 10 cm towards the combination. The power of the lens is _____ D.
MEDIUM
Radii of curvature of a converging lens are in the ratio 1:2. Its focal length is 6 cm and refractive index is 1.5. Then its radii of curvature are:
MEDIUM
A person with normal near point 25 cm uses a compound microscope with an objective of focal length 8.0 mm and an eyepiece of focal length 2.5 cm to bring an object placed at 9.0 mm from the objective in sharp focus. The separation between two lenses and magnification respectively are
EASY

Choose the correct option.

A spherical marble, of refractive index 1.5 and curvature 1.5 cm, contains a tiny air bubble at its centre. Where will it appear when seen from outside?

EASY
An object is placed at a distance of 1.5 m from the screen and a convex lens is interposed between them. The magnification produced is 4. What is the focal length of the lens.
EASY
A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then, it's focal length will:
MEDIUM
The radius of curvature of each surface of a convex lens of refractive index 1.5 is 40 cm. Calculate the power of this lens.
HARD
From a point source, light falls on a spherical glass surface (μ=1.5 and radius of curvature =10 cm). The distance between point source and glass surface is 50 cm. The position of the image is    
MEDIUM
The refractive index of material of a Plano-convex lens, if the radius of curvature of the plane surface R1 is infinite while the radius of curvature of convex surface R2 is 20 cm and focal length of the lens is 30 cm, will be:
MEDIUM
A real image of an object is formed at a distance of 20 cm from a lens. On putting another lens in contact with it, image is shifted 10 cm towards the combination. The power of the lens is _____ D
EASY
A plano-convex lens has refractive index μ1 and focal length f1 and another plano-concave lens has refractive index μ2 and focal length f2. Radius of curvature in both lenses is same. If f1=2f2 then relation between μ1 and μ2 is
EASY
The radius of curvature of each surface of a convex lens of refractive index 1.5 is 40 cm. Calculate the power of this lens.
EASY
A double convex lens of refractive index 1.47 is immersed in a liquid. It behaves like a plane sheet. It means the refractive index of the liquid is-