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kobusy [5.1K]
3 years ago
7

true or false? Heather and Matthew walk with an average velocity of .75 m/s eastward. If it takes them 25 min to walk to the par

k, their displacement must be 2.0 km to the east.
Physics
1 answer:
irinina [24]3 years ago
4 0
False. you have to find out how many seconds are in the 25 min. 60 x 25 is 1500sec. Then multiply 1500 by .75 to get 1,125m. There are 0.001 kilometers in a meter. Move the decimal point three spaces to convert m to km. 1,125m becomes 1.125km
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(a) How many fringes appear between the first diffraction-envelope minima to either side of the central maximum in a double-slit
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Answer:

a

The number of fringe is  z  = 3 fringes

b

The  ratio is I = 0.2545I_o

Explanation:

a

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        The wavelength is  \lambda = 600 nm

        The distance between the slit is  d = 0.117mm = 0.117 *10^{-3} m

        The width of the slit is  a = 35.7 \mu m = 35.7 *10^{-6}m

let  z be the number of fringes that appear between the first diffraction-envelope minima to either side of the central maximum in a double-slit pattern is  and this mathematically represented as

             z = \frac{d}{a}

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b

   From the question  we are told that the order  of the bright fringe is  n = 3

   Generally the intensity of  a pattern  is mathematically represented as

                 I = I_o cos^2 [\frac{\pi d sin \theta}{\lambda} ][\frac{sin (\pi a sin \frac{\theta}{\lambda } )}{\pi a sin \frac{\theta}{\lambda} } ]

Where I_o is the intensity  of the  central fringe

 And  Generally  sin \theta = \frac{n \lambda }{d}

               I = I_o co^2 [ \frac{\pi (\frac{n \lambda}{d} )}{\lambda} ] [\frac{\frac{sin (\pi a (\frac{n \lambda}{d} ))}{\lambda} }{\frac{\pi a (\frac{n \lambda}{d} )}{\lambda} } ]

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               I = I_o cos^2 (3 \pi) [\frac{sin (\frac{3 \pi }{6} )}{\frac{3 \pi}{6} } ]

                I = I_o (1)(0.2545)

                  I = 0.2545I_o

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