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Question

Question: Five lumen/watt is the luminous efficiency of a lamp and its luminous intensity is 35 candela. The p...

Five lumen/watt is the luminous efficiency of a lamp and its luminous intensity is 35 candela. The power of the lamp is

A

80 W

B

176 W

C

88 W

D

36 W

Answer

88 W

Explanation

Solution

Efficiency of light source η=φp\eta = \frac{\varphi}{p} ..... (i)

and L=φ4πL = \frac{\varphi}{4\pi} ..... (ii)

From equation (i) and (ii)p=4πLη=4π×35588W\Rightarrow p = \frac{4\pi L}{\eta} = \frac{4\pi \times 35}{5} \approx 88W.