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My name is Ann [436]
3 years ago
8

Light containing two different wavelengths passes through a diffraction grating with 1,250 slits/cm. On a screen 17.5 cm from th

e grating, the third-order maximum of the shorter wavelength falls midway between the central maximum and the first side maximum for the longer wavelength. If the neighboring maxima of the longer wavelength are 8.44 mm apart on the screen, what are the wavelengths in the light
Physics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

\lambda_s =6.43*10^-4m

Explanation:

From the question we are told that:

Diffraction grating N=1250slits/cm

Distance b/w Screen and grating length d_{sg}=17.5 cm

Distance b/w neighboring maxima and Screen d_{ms}=8.44

 

Generally the equation for grating space is mathematically given by

d(g)=\frac{1}{N}

d(g)=\frac{100}{1250}

d(g)=0.08

Generally the equation for small angle approximation is mathematically given by

\triangle y=\frac{\lambda d}{L}

Therefore for longest wavelength

\lambda _l=\frac{8.44*10^{-3}*(0.08)}{0.175m}

\lambda _l=3.858*10^{-3}

Therefore the third order maximum equation for the shorter wavelength as

\lambda_s =\frac{1}{6} \lambda_l

\lambda_s =\frac{1}{6} (3.858*10^-^3)

\lambda_s =6.43*10^-4m

The wavelengths in the light is given as

\lambda_s =6.43*10^-4m

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A train travels due south at 25 m/s (relative to the ground) in a rain that is blown toward the south by the wind. The path of e
olasank [31]

Answer:

Explanation:

Given

Train travels towards south with a velocity if v_t=25\ m/s

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8 0
3 years ago
A 5 cm spring is suspended with a mass of 3.8589 g attached to it which extends the spring by 1.5747 cm. The same spring is plac
lana66690 [7]

Answer:

charges of the beads is 1.173 ×10^{-15} C

Explanation:

given data

mass = 3.8589 g = 0.003859 kg

spring length = 5 cm = 0.05 m

extend spring x = 1.5747 cm = 0.15747 m

spring's extension = 0.0116 m

to find out

charges of the beads

solution

we know that force is

force = mass × g

force = 0.003859 × 9.8

force = 0.03782 N

so we know  force for mass

force  = -kx

so k = force / x

put here force and x value

k = -0.03782 / 0.1575

k = -0.24 N/m

and

force for spring's extension

force = -kx

force = -0.24 ( 0.0116) = 0.002784 N

so here

total length L = 0.05 + 0.0116 = 0.0616

so charges of the beads = force × L² / ke

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3 0
3 years ago
If you dribble a basketball with a frequency of 1.77 Hz, how long does it take for you to complete 12 dribbles?
Licemer1 [7]
<h2>It takes 6.78 seconds to complete 12 dribbles.</h2>

Explanation:

Frequency of dribble = 1.77 Hz

That is

         Number of dribbles in 1 second = 1.77

         \texttt{Time taken for 1 dribble = }\frac{1}{1.77}=0.565s

Now we need to find how long does it take for you to complete 12 dribbles.

         Time taken for 12 dribbles = 12 x Time taken for 1 dribble

         Time taken for 12 dribbles = 12 x 0.565

         Time taken for 12 dribbles = 6.78 seconds      

It takes 6.78 seconds to complete 12 dribbles.  

8 0
3 years ago
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