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Define focal length of a lens and calcul...

Define focal length of a lens and calculate focal length of the lens having radius of curvature 30 cm.

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### Step-by-Step Solution 1. **Definition of Focal Length**: The focal length of a lens is defined as the distance between the optical center of the lens and its focal point. It is the point where parallel rays of light either converge (for a converging lens) or appear to diverge from (for a diverging lens) after passing through the lens. 2. **Understanding the Relationship**: For a lens, the focal length (f) is related to the radius of curvature (R) of the lens surfaces. The focal length is given by the formula: \[ ...
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Knowledge Check

  • The power of a lens having a focal length of 1 cm is

    A
    1 D
    B
    10 D
    C
    `1/10D`
    D
    100 D

  • A double convex lens (R_(1) = R_(2) = 10 cm) (mu = 1.5) having focal length equal to the focal length of a concave mirror. The radius of curvature of the concave mirror is

    A
    `10 cm`
    B
    `20 cm`
    C
    `40 cm`
    D
    `15 cm`

  • A double convex lens ( R_(1)=R_(2)=10 cm ) having focal length equal to the focal length of a concave mirror. The radius of curvature of the concave mirror

    A
    10 cm
    B
    20 cm
    C
    40 cm
    D
    15 cm

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    A concave lens with equal radius of curvature both sides has a focal length of 12 cm. The refractive index of the lens is 1.5. How will the focal length of the lens change if it is immersed in the liquid of refractive index 1.8 ?

    Assertion : The focal length of an equiconvex lens placed in air to radius of curvature of either face. Reason : For an equiconvex lens radius of curvature of both the faces is same.

    What is the focal length of double convex lens for which radius of curvature of either of the surfaces is 30 cm? [ ""_(a) mu_(g)=1.5]

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