Samantha ha una mazza di 60kg e fluttua nella stazione spaziale internazionale in orbita attorno alla terra.A un certo istante spinge contro la parete con una forza 33N. Calcola l'accelerazione di Samantha dovuta alla spinta.

(a) The diffraction decreases

The formula for the diffraction pattern from a single slit is given by:

where

is the angle corresponding to nth-minimum in the diffraction pattern, measured from the centre of the pattern

n is the order of the minimum

is the wavelength

a is the width of the opening

As we see from the formula, the longer the wavelength, the larger the diffraction pattern (because increases). In this problem, since the wavelength of the signal has been decreased from 54 cm to 13 mm, the diffraction of the signal has decreased.

(b)

The angular spread of the central diffraction maximum is equal to twice the distance between the centre of the pattern and the first minimum, with n=1. Therefore:

in this case we have

is the wavelength

is the width of the opening

Solving the equation, we find

So the angular spread of the central diffraction maximum is twice this angle:

(c)

Here we can apply the same formula used before, but this time the wavelength of the signal is

so the angle corresponding to the first minimum is

So the angular spread of the central diffraction maximum is twice this angle: