Geometrical OpticsHard
Question
In a double slit experiment instead of talking slits of equal widths, one slits is made twice as wide as the other, then in the interference pattern
Options
A.the intensities of both maxima and the minima increase
B.the intensity of the maxima increases and the minima has zero intensity
C.the intensity of maxima decreases and the of minima increases
D.the intensity of maxima decreases and the minima has zero intensity
Solution
In interference we know that
Imax = (√I1 + √I2)2) and Imin = (√I1 ~ √I2)2)2
Under normal conditions (when the widths of both the slits are equal)
I1
I2 and I2 = ηI
∴ Imax = 4I and Imin = 0
When the width of one of the slit is increased. Intensity due to it that sliti would increase, while that of the other will remain same. So, let :
I1 = 1 and I2 = ηI (η > 1)
Then, Imin = I(+√η)2η > 4I
and Imin = I(√η - 1)2 > 0
∴ Intensity of both maximum and minima is increased.
Imax = (√I1 + √I2)2) and Imin = (√I1 ~ √I2)2)2
Under normal conditions (when the widths of both the slits are equal)
I1
I2 and I2 = ηI ∴ Imax = 4I and Imin = 0
When the width of one of the slit is increased. Intensity due to it that sliti would increase, while that of the other will remain same. So, let :
I1 = 1 and I2 = ηI (η > 1)
Then, Imin = I(+√η)2η > 4I
and Imin = I(√η - 1)2 > 0
∴ Intensity of both maximum and minima is increased.
Create a free account to view solution
View Solution FreeMore Geometrical Optics Questions
A car is fitted with a convex side-view mirror of focal length 20cm. A second car 2.8 m behind the first car is overtaki...A diminished image of an object is to be obtained on a screen 1.0 m from it. This can be achieved by placing...The diagram shows five isosceles right angle prisms. A light ray incident at 90o at the first face emerges at same angle...A man cannot see clearly the objects beyond a distance of 20 cm from his eyes. To see distant objects clearly he must us...A Person wears glasses of power - 2.0 D. The defect of the eye and the far point of the person without the glasses will ...