A source S_1 is producing 10^{15} photons per | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) For source $S_1$:Wavelength $\lambda_1 = 5000 \; \mathring{A}$,Number of photons per second $N_1 = 10^{15}$.Power $P_1 = N_1 	imes E_1 = N_1 	im

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) For source $S_1$:Wavelength $\lambda_1 = 5000 \; \mathring{A}$,Number of photons per second $N_1 = 10^{15}$.Power $P_1 = N_1 	imes E_1 = N_1 	imes \frac{hc}{\lambda_1}$.For source $S_2$:Wavelength $\lambda_2 = 5100 \; \mathring{A}$,Number of photons per second $N_2 = 1.02 	imes 10^{15}$.Power $P_2 = N_2 	imes E_2 = N_2 	imes \frac{hc}{\lambda_2}$.Ratio $\frac{P_2}{P_1} = \frac{N_2 \cdot hc / \lambda_2}{N_1 \cdot hc / \lambda_1} = \frac{N_2}{N_1} 	imes \frac{\lambda_1}{\lambda_2}$.Substituting the values:$\frac{P_2}{P_1} = \frac{1.02 	imes 10^{15}}{10^{15}} 	imes \frac{5000}{5100} = 1.02 	imes \frac{50}{51} = \frac{1.02}{51} 	imes 50 = 0.02 	imes 50 = 1$.Thus,the ratio is $1$.

$A$ source $S_1$ is producing $10^{15}$ photons per second of wavelength $5000 \; \mathring{A}$. Another source $S_2$ is producing $1.02 \times 10^{15}$ photons per second of wavelength $5100 \; \mathring{A}$. Then,$(\text{power of } S_2) / (\text{power of } S_1)$ is equal to

Similar Questions

The Compton effect demonstrates that .....

The energy of a photon of wavelength $\lambda$ is given by

$A$ $2\,mW$ laser operates at a wavelength of $500\,nm.$ The number of photons that will be emitted per second is [Given Planck's constant $h = 6.6 \times 10^{-34}\,Js,$ speed of light $c = 3.0 \times 10^8\,m/s$]

$A$ bulb has a power of $60 \, mW$ and emits light of wavelength $6000 \, \mathring{A}$. Calculate the number of photons emitted by the bulb per second.

Monochromatic light of frequency $6.0 \times 10^{14} \text{ Hz}$ is produced by a laser. The power emitted is $2 \times 10^{-3} \text{ W}$. The number of photons emitted,on the average,by the source per second is

Vedclass Test Series

Exam Paper Generator

Online Exam Module