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DochEvi [55]
2 years ago
6

The wall of a large room is covered with acoustic tile in which small holes are drilled 4.6 mm from center to center. How far ca

n a person be from such a tile in meters and still distinguish the individual holes, assuming ideal conditions, the pupil diameter of the observer's eye to be 4.0 mm, and the wavelength of the room light to be 550 nm?
Physics
1 answer:
Zielflug [23.3K]2 years ago
8 0

Answer:

L= 27.42m

Explanation:

We have the variables

D=4.6*10^{-3}m

d= 4*10^{-3}m

\lambda = 550*10^{-9}m

Use the relation,

L=\frac{D}{\theta_R} = \frac{D_d}{1.22\lambda}

L= \frac{(4.6*10^{-3}m)(4*10^{-3}m)}{1.22(550*10^{-9}m)}

L= 27.42m

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Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. Its mass is 2
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Answer:

The volume of the larger cube is 5.08 g/cm³.

Explanation:

Given that,

Mass of smaller cube = 20 g

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The larger cube has twice the mass of the smaller cube.

M_{l}=2m_{s}

Density is same for both cubes because both cubes are same material.

The density is equal to the mass divided by the volume.

\rho=\dfrac{m}{V}

V=\dfrac{m}{\rho}

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The volume of smaller mass

V_{s}=\dfrac{m_{s}}{\rho_{s}}

V_{s}=\dfrac{20}{7.87}

V_{s}=2.54\ cm^3

Now, We need to calculate the volume of large cube

V_{l}=\dfrac{m_{l}}{\rho_{l}}

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V_{l}=5.08\ g/cm^3

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2 years ago
Susan and Hannah are each riding a swing. Susan has a mass of 25 kilograms, and Hannah has a mass of 30 kilograms. Susan’s swing
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Answer:

Kinetic energy is given by:

K.E. = 0.5 m v²

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Velocity with which Susan moves is, v = 10 m/s

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Velocity with which Hannah moves is, v' = 8.5 m/s

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<u>Kinetic energy of Hannah:</u>

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Susan's kinetic energy is <u>1250 J </u>and Hannah's kinetic energy is <u>1083.75 J</u>.

Since kinetic energy is dependent on mass and square of speed. Thus, speed has a greater effect than mass. As it is evident from the above example. Susan has greater kinetic energy due to higher speed than Hannah.

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