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PHS1022 - Fields and quantum physics - S2 2025

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When dealing with two slit interference the formula we have 

.

In this equation, describes the

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Consider the following code:

import sympy as

sp

sm=sp.Symbol(

"m"

)

sYm=sp.Symbol(

"Ym"

)

sl=sp.Symbol(

"lambda"

)

sd=sp.Symbol(

"D"

)

expry=sYm/(sl*sd)

um=sp.Symbol(

"um"

)

uYm=sp.Symbol(

"uYm"

)

ul=sp.Symbol(

"ulambda"

)

ud=sp.Symbol(

"uD"

)

derivs=np.array(expry.diff(symbols)) derivs=derivs*np.array([um,uYm,ul,ud])

derivs=np.dot(derivs,derivs)

expr_y_f=sp.lambdify([sm,um,sYm,uYm,sl,ul,sd,ud],expry)

u_expr_y_f=sp.lambdify([sm,um,sYm,uYm,sl,ul,sd,ud],derivs)

What does this code do?

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Which of the following is an accurate description of diffraction?

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Suppose there is a bright fringe at P. Would this bright fringe move closer to O, move further away, or be unchanged, if the red light was replaced with blue light?

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Suppose there is a bright fringe at P. Would this bright fringe move closer to O, move further away, or be unchanged, if the red light was made more intense?

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Suppose there is a bright fringe at P. Would this bright fringe move closer to O, move further away, or be unchanged, if the separation, d, of the slits was reduced?

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The figure below shows how a double-slit interference pattern is produced on a screen for monochromatic light.

 

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In terms of the wavelength of the light λ, and what is the value for the path difference x = r1 – r2 if at the point P on the screen there is a bright region (and no other bright region between O and P)?

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The figure below shows how a double-slit interference pattern is produced on a screen for monochromatic light.

 

Image failed to load: 1

 

The wavelength of the light is λ. what is the value for the path difference x = r1 – r2 if at the point P on the screen there is a dark region (and no other dark region between O and P)?

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A laboratory experiment produces a double-slit interference pattern on a screen. If the screen is moved farther away

from the slits, the fringes will be

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Phase differences between two waves from sources at some distance from an observation point can be created through which of the following?

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