Solveeit Logo

Question

Question: An electric bulb illuminates a plane surface. The intensity of illumination on the surface at a poin...

An electric bulb illuminates a plane surface. The intensity of illumination on the surface at a point 2m away from the bulb is 5×1045 \times 10^{- 4} phot (lumen/cm2). The line joining the bulb to the point makes an angle of 60o with the normal to the surface. The intensity of the bulb in candela is

A

40340\sqrt{3}

B

40

C

20

D

40×10440 \times 10^{- 4}

Answer

40

Explanation

Solution

I=Lcosθr2I = \frac{L\cos\theta}{r^{2}} 6mu6muL=I×r2cosθ\Rightarrow \mspace{6mu}\mspace{6mu} L = \frac{I \times r^{2}}{\cos\theta}

=5×104×104×22cos606mu=6mu406muCandela= \frac{5 \times 10^{- 4} \times 10^{4} \times 2^{2}}{\cos 60{^\circ}}\mspace{6mu} = \mspace{6mu} 40\mspace{6mu} Candela