Light from two coherent sources of the same a | vedclass

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

Question

(D) For coherent sources,the intensity at the central maximum is given by $I_{0} = (\sqrt{I_{1}} + \sqrt{I_{2}})^2$. Since both sources have the same

Vedclass · Accepted Answer

$\frac{I_{0}}{2}$

Vedclass · Answer

(D) For coherent sources,the intensity at the central maximum is given by $I_{0} = (\sqrt{I_{1}} + \sqrt{I_{2}})^2$. Since both sources have the same amplitude $A$,their individual intensities are equal,say $I_{1} = I_{2} = I$. Thus,$I_{0} = (\sqrt{I} + \sqrt{I})^2 = (2\sqrt{I})^2 = 4I$. This implies that the intensity of each individual source is $I = \frac{I_{0}}{4}$. When the sources are incoherent,the interference term averages to zero over time. Therefore,the resultant intensity is simply the sum of the individual intensities: $I_{res} = I_{1} + I_{2} = I + I = 2I$. Substituting $I = \frac{I_{0}}{4}$ into the expression,we get $I_{res} = 2 	imes (\frac{I_{0}}{4}) = \frac{I_{0}}{2}$.

Light from two coherent sources of the same amplitude $A$ and wavelength $\lambda$ illuminates the screen. The intensity of the central maximum is $I_{0}$. If the sources were incoherent,the intensity at the same point will be

Similar Questions

The resultant amplitude of coherent sources depends on ......

The two interfering waves have intensities in the ratio $9 : 4$. The ratio of intensities of maxima and minima in the interference pattern will be

The ratio of intensities of two waves producing interference is $9: 4$. The ratio of the resultant maximum and minimum intensities will be:

The two coherent sources of equal intensity produce a maximum intensity of $100$ units at a point. If the intensity of one of the sources is reduced by $36\%$ by reducing its width,then the intensity of light at the same point will be:

Two coherent sources have an intensity ratio of $100 : 1$ and are used to obtain the phenomenon of interference. What is the ratio of the maximum to the minimum intensity?

Vedclass Test Series

Exam Paper Generator

Online Exam Module