Solveeit Logo
Login

Question

Question: Assuming that a 25 watt bulb emits monochromatic yellow light of wave length \(0.57\mu.\) The rate o...

Assuming that a 25 watt bulb emits monochromatic yellow light of wave length 0.57μ.0.57\mu. The rate of emission of quanta per sec. will be

A

5.89×1013sec⁡−15.89 \times 10^{13}\sec^{- 1}{}

B

7.28×1017sec⁡−17.28 \times 10^{17}\sec^{- 1}{}

C

5×1010sec⁡−15 \times 10^{10}\sec^{- 1}{}

D

7.18×1019sec⁡−17.18 \times 10^{19}\sec^{- 1}{}

Answer

7.18×1019sec⁡−17.18 \times 10^{19}\sec^{- 1}{}

Explanation

Solution

Let n quanta are evolved per sec.

n[hcλ]=25Jsec⁡−1n\left\lbrack \frac{hc}{\lambda} \right\rbrack = 25J\sec^{- 1}{}; n6.626×10−34×3×1080.57×10−6=25n\frac{6.626 \times 10^{- 34} \times 3 \times 10^{8}}{0.57 \times 10^{- 6}} = 25; n=7.18×1019sec⁡−1n = 7.18 \times 10^{19}\sec^{- 1}{}