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The image of sun (consider point source of light) can never be produced at center of glass sphere, (assuming the space between sphere and sun is filled with air),

The thick lenses give coloured images due to dispersion of light.

If a lens having $μ = 1.5$ has focal length 20 cm in air, then its focal length will be 60 cm when it is immersed in water of refractive index $\frac{4}{3}$

The laws of reflection and refraction are true for all surface and pairs of media at the point of incidence.

answer is A, C, D.

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Detailed Solution

A) $\frac{μ}{+ R} = \frac{μ - 1}{+ R}$ (not possible)
The higher the refractive index of the material of sphere ( $μ$ ), the closer one could come to fulfilling the objective

B) $\frac{f_{a}}{f_{w}} = (\frac{{μ-μ}_{w}}{{μ-μ}_{a}}) (\frac{μ_{a}}{μ_{w}})$
$= (\frac{\frac{3}{2} - \frac{4}{3}}{\frac{3}{2} - 1}) \frac{1}{(\frac{4}{3})} = \frac{1}{6} \times 2 \times \frac{3}{4} = \frac{1}{4} \Rightarrow f_{w} = 80 cm$