1. The image coincides with the object, indicating that the object is at the focal point of the convex lens. Thus, the focal length of the lens is 20 cm, as the object distance equals the focal length. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/

    The image coincides with the object, indicating that the object is at the focal point of the convex lens. Thus, the focal length of the lens is 20 cm, as the object distance equals the focal length.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/

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  2. For a converging lens (f1 >0) and a diverging lens (f2 <0) with equal focal lengths (∣f1 ∣= ∣f2∣): 1/f = 1/f1 + 1/f2 = 1/f - 1/f = 0 Thus, the combination has infinite focal length and behaves like a plane glass. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/physiRead more

    For a converging lens (f1 >0) and a diverging lens (f2 <0) with equal focal lengths (∣f1 ∣= ∣f2∣):
    1/f = 1/f1 + 1/f2 = 1/f – 1/f = 0
    Thus, the combination has infinite focal length and behaves like a plane glass.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/

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  3. The power of a lens combination is the sum of the individual powers: P total = P1+ P2 ​Here, P1 = −4D and P2 = 2D : P total = −4+2=−2D The focal length f is related to the power by f = 100/P (in cm): f =100/−2 =−50 cm (or -0.5 m) Thus, the focal length of the combination is -50 cm. For more visit heRead more

    The power of a lens combination is the sum of the individual powers:
    P total = P1+ P2
    ​Here, P1 = −4D and P2 = 2D :
    P total = −4+2=−2D
    The focal length f is related to the power by
    f = 100/P (in cm):
    f =100/−2 =−50 cm (or -0.5 m)
    Thus, the focal length of the combination is -50 cm.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/

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  4. Here P = P₁ + P2 = (-4 D) + (2 D) = -2D Hence, f = 1/p = - 1/2 m = -50 cm. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/

    Here P = P₁ + P2 = (-4 D) + (2 D) = -2D
    Hence, f = 1/p = – 1/2 m = -50 cm.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/

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  5. When a concave lens (n = 1.5) is immersed in a medium with a higher refractive index (n = 1.65), it behaves as a convex lens, as the medium bends light more strongly than the lens. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/

    When a concave lens (n = 1.5) is immersed in a medium with a higher refractive index (n = 1.65), it behaves as a convex lens, as the medium bends light more strongly than the lens.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-9/

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