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Where a parallel beam converges after a spherical glass surface or globe

This type of question, asked 2 times: 29 Jun 2022, 22 Jan 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    29 Jun 2022

    29
    A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm30\text{ }cm and refractive index 1.5. The distance from the centre of the globe at which the beam of light can converge is ____\_\_\_\_ mmmm.
  2. Question 2

    22 Jan 2026 S1

    23
    A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm. Refractive index of glass is 1.5. The rays converge to a point at a distance x cm from the centre of the curvature of the spherical surface. The value of x is ____\_\_\_\_ cm.