Atomic StructureMedium
Question
A bulb is rated at 150 watts, converting $8\%$ energy into light. If energy of one photon is $4.42 \times 10^{- 19}\text{ }J$, how many photons are emitted by the bulb per second?
Options
A.$2.71 \times 10^{19}$
B.$4.06 \times 10^{19}$
C.$27.2 \times 10^{19}$
D.$1.35 \times 10^{19}$
Solution
Sol. [Key Concept: Photon energy E=hν and number of photons from power]
Energy = Power × time$= 150$ watt $\times 1\text{ }s = 150\text{ }J $Energy converted to light $= \frac{150 \times 8}{100} = 12\text{ }J$
$$E = nh\nu $$Energy of one photon $= 4.42 \times 10^{- 19}$
So, $n =$ number of photons $= \frac{E}{hv} = \frac{12}{4.42 \times 10^{- 19}}$
$$= 2.715 \times 10^{19}$$
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