JEE Advanced 2015 Paper 2 Physics Q20

Physics · Ray Optics: Refraction & Lenses

Problem

PARAGRAPH 2 Light guidance in an optical fiber can be understood by considering a structure comprising of thin solid glass cylinder of refractive index n1n_1 surrounded by a medium of lower refractive index n2n_2. The light guidance in the structure takes place due to successive total internal reflections at the interface of the media n1n_1 and n2n_2 as shown in the figure. All rays with the angle of incidence ii less than a particular value imi_m are confined in the medium of refractive index n1n_1. The numerical aperture (NA) of the structure is defined as sin⁡im\sin i_m. If two structures of same cross-sectional area, but different numerical apertures NA1NA_1 and NA2NA_2 (NA2<NA1NA_2<NA_1), are joined longitudinally, the numerical aperture of the combined structure is

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