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Salsk061 [2.6K]
3 years ago
7

The distance between the lenses in a compound microscope is 18 cm. The focal length of the objective is 1.5 cm. If the microscop

e is to provide an angular magnification of -46 when used by a person with a normal near point (25 cm from the eye), what must be the focal length of the eyepiece
Physics
1 answer:
Blababa [14]3 years ago
6 0

Answer:

The focal length of eye piece is 6.52 cm.

Explanation:

Given that,

Angular Magnification of the microscope M = -46

the distance between the lens in microscope L= 16 cm

The focal length of objective f₀ = 1.5 cm

Normal near point N = 25 cm

Have to find focal length of eye piece f ₙ =?

The angular magnification is given by

M ≈ - (L-fₙ)N/f₀fₙ

Rearranging for fₙ

fₙ =L(1 - Mf₀/N)⁺¹

   =18/2.76

fₙ =  6.52 cm

The focal length of eye piece is 6.52 cm.

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Consider the system consisting of the box and the spring, but not Earth. How does the energy of the system when the spring is fu
BabaBlast [244]

Answer:

the energy when it reaches the ground is equal to the energy when the spring is compressed.

Explanation:

For this comparison let's use the conservation of energy theorem.

Starting point. Compressed spring

         Em₀ = K_e = ½ k x²

Final point. When the box hits the ground

         Em_f = K = ½ m v²

since friction is zero, energy is conserved

          Em₀ = Em_f

          1 / 2k x² = ½ m v²

          v = \sqrt{ \frac{k}{m} }     x

Therefore, the energy when it reaches the ground is equal to the energy when the spring is compressed.

5 0
3 years ago
If the amplitude of a sound wave is tripled, by what factor will the intensity increase?
Shtirlitz [24]

Answer:

By a factor 9

Explanation:

The intensity of a sound wave is proportional to the square of the amplitude of the wave:

I \propto A^2

where

I is the intensity

A is the amplitude of the wave

In this problem, the amplitude of the sound wave is increased by a factor 3:

A' = 3A

So the intensity would change by

I' \propto A'^2 = (3A)^2 = 9 A^2 = 9I

So, the intensity would increase by a factor 9.

5 0
3 years ago
Compare the kinetic energy of a 20,000-kg truck moving at 110 km/h with that of an 80.0-kg astronaut in orbit moving at 27,500 k
laiz [17]
Kinetic energy is the energy that is possessed by an object that is moving. It is calculated by one-half the product of the mass and the square of the velocity of the object. We calculate as follows:<span>

For the truck,
KE = mv^2 / 2
KE = 20000 kg (110 km/h (1 h/3600 s)(1000 m / 1 km))^2 / 2
KE = 611111.11 J

For the astronaut,
KE = 80.0 kg (27500 km/h</span>(1 h/3600 s)(1000 m / 1 km)<span>)^2/2
KE = 611111.11 J

The kinetic energy possessed by the two bodies are the same.

</span>
3 0
3 years ago
A car rolls backward from -2 to -10 m/s in 4 seconds. what is the acceleration. PLEASE HELP WILL GIVE BRAINLIEST
pashok25 [27]

\bf \underline{Given : }

  • Initial velocity,u = -2 m/s

  • Final velocity,v = -10 m/s

  • Time taken, t = 4 seconds

\bf \underline{To  \: find  \: out : }

Find the acceleration ( a ) .

\bf \underline{Solution : }

We know that,

\sf \: Acceleration =  \dfrac{v - u}{t}

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\implies \sf \: Acceleration =  \dfrac{ - 10 - ( - 2)}{4}

\implies\sf \: Acceleration =  \dfrac{ - 10 + 2}{4}

\implies \sf \: Acceleration = \cancel  \dfrac{ - 8}{4}

\implies\sf \: Acceleration =  - 2 \: ms {}^{ - 2}

Hence,the acceleration of a body is -2 m/s².

5 0
4 years ago
You walk 45 m to the north, then turn 90° to your right and walk another 45 m How far are you from where you originally started?
docker41 [41]
C^2=a^2+b^2
c^2=45^2+45^2
c^2=4050
c=63.64
c=64
The answer is D.
3 0
4 years ago
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