Question

In a double-slit experiment, if the slit separation is increased by a factor of two, what happens to the interference pattern shown on the screen? What happens if the wavelength is halved? What happens if the distance to the screen is double?

Two small forward-facing speakers are 2.50 m apart. They are both emitting, in phase with each other, a sound of frequency 1100 Hz in a room where the speed of sound is 344 m/s. A woman is standing opposite the midpoint between the speakers and is initially 35.0 m from the midpoint. As she slowly walks parallel to the line connecting the speakers, at what angle ? (relative to the centerline coming outward from the midpoint between the speakers) will she first hear no sound?

Answer 1

The double slit experiment is described by the expression

d Sin ? = m ?

if we use the angle is very small and the distance to the screen is L

y = ( L/d) m ?

Part a)

If the distance increases d = 2do the expression is

y = L/ 2do m ?

y = ½ L/do m ?

y = ½ yo

as we can see on the screen separation is reduced to half

Part b)

If the wavelength is reduced ?= ½ ?o

y = ( L/d) m ?

y = ( L/d) m ?o/2

y = ½ ( L/d) m ?o

y = ½ yo

in this expression half also it reduces separation on the screen.

Part c)

If the distance increases y = 2yo the expression is

2yo = L/ d m ?

(L/do)?o = ½( L/d ) ?

Then wavelength will be doble and distance will be half.

Ask other questions in new post. Because it is not a part of this question .