If {I_0} is the intensity of the principal ma | vedclass

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

Question

(D) In a single slit diffraction pattern,the intensity of the central maximum is proportional to the square of the slit width $(a^2)$.Let the initial

Vedclass · Accepted Answer

$4{I_0}$

Vedclass · Answer

(D) In a single slit diffraction pattern,the intensity of the central maximum is proportional to the square of the slit width $(a^2)$.Let the initial slit width be $a$ and the initial intensity be $I_0 \propto a^2$.When the slit width is doubled,the new width becomes $a' = 2a$.The new intensity $I'$ will be proportional to the square of the new width: $I' \propto (a')^2 = (2a)^2 = 4a^2$.Since $I_0 \propto a^2$,we have $I' = 4I_0$.Therefore,when the slit width is doubled,the intensity of the principal maximum becomes four times the original intensity.

If ${I_0}$ is the intensity of the principal maximum in the single slit diffraction pattern,then what will be its intensity when the slit width is doubled?

Similar Questions

Which kingdoms include decomposers?

The velocities of three particles of masses $20 \ g$,$30 \ g$,and $50 \ g$ are $10 \hat{i}$,$10 \hat{j}$,and $10 \hat{k}$ respectively. The velocity of the centre of mass of the three particles is:

Consider the system shown in figure. The pulley and the string are light and all the surfaces are frictionless. The tension in the string is $.......N$ (take $g =10\,m s ^{-2}$ )

What does orthoboric acid contain?

$100$ cells each of e.m.f. $5 \ V$ and internal resistance $1 \ \Omega$ are to be arranged so as to produce maximum current in a $25 \ \Omega$ resistance. Each row is to contain equal number of cells. The number of rows should be

Vedclass Test Series

Exam Paper Generator

Online Exam Module