The filament of a light bulb has surface area 64 mm². The filament can be considered as a black body at temperature 2500 K emitting radiation like a point source when viewed from far. At night the light bulb is observed from a distance of 100 m. Assume the pupil of the eyes of the observer to be circular with radius 3 mm. Then (Take Stefan-Boltzmann constant = 5.67 × 10⁻⁸ W m⁻² K⁻⁴, Wien’s displacement constant = 2.90 × 10⁻³ m-K, Planck’s constant = 6.63 × 10⁻³⁴ Js, speed of light in vacuum = 3.00 × 10⁸ m s⁻¹)