Two plane mirrors stand facing each other, 3.08 m apart, and a woman stands between them. The woman faces one of the mirrors fro
m a distance of 1.30 m and holds her left arm out to the side of her body with the back of her left hand facing the closer mirror.(a) What is the apparent position of the closest image of her left hand, measured perpendicularly from the surface of the mirror in front of her?
_____ m behind the nearest mirror
(b) Does it show the palm of her hand or the back of her hand?
_____
(c) What is the position of the next closest image?
_____ m behind the nearest mirror
(d) Does it show the palm of her hand or the back of her hand?
_____
(e) What is the position of the third closest image?
_____ m behind the nearest mirror
(f) Does it show the palm of her hand or the back of her hand?
_____
_____ m behind the nearest mirror
(b) Does it show the palm of her hand or the back of her hand?
_____
(c) What is the position of the next closest image?
_____ m behind the nearest mirror
(d) Does it show the palm of her hand or the back of her hand?
_____
(e) What is the position of the third closest image?
_____ m behind the nearest mirror
(f) Does it show the palm of her hand or the back of her hand?
_____
2 answers:
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Answer:
Explanation:
When light passes through a narrow slit, it produces a diffraction pattern on a distant screen, consisting of several bright fringes (constructive interference) alternated with dark fringes (destructive interference).
The formula to calculate the position of the m-th maximum in the diffraction pattern produced in the screen is:
where
y is the distance of the m-th maximum from the central maximum (m = 0)
is the wavelength of light used
D is the distance of the screen from the slit
d is the width of the slit
In this problem, we have:
is the wavelength
D = 62.5 cm = 0.625 m is the distance of the screen
We know that the distance between the third order maximum (m=3) and the central maximum is 1.35 cm (0.0135 m), which means that
For
m = 3
Therefore, rearranging the equation for d, we find the width of the slit: