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patriot [66]
3 years ago
14

The resolution of a camera or other optical system is determined by the relationship between what two scales?

Physics
1 answer:
devlian [24]3 years ago
4 0

Answer:

d.The wavelength of light and the size of the aperture

Explanation:

<em>The resolution power of an optical system is the smallest distance between two points that the device can distinguish clearly.</em>

It has the following relationship:

r=\frac{\lambda}{2n}

where:

r = minimum resolvable distance

n = numerical aperture

\lambda= wavelength of the light used for viewing

From above mathematical equation it is clear that:

  • Smaller the wavelength better the resolving power
  • Larger the aperture better the resolution

(Note, that smaller the value of "r" the more finer details of the image visible through the device.)

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If an object is travelling faster than its own sound waves, which of the following is created?
Andrej [43]

Answer:

D

Explanation:

When an object travels faster than the speed of sound, a sonic boom is created. A ring of pressure waves (probably why wave destruction and pressure cooker are options lol) are created, which is why when you see a jet make a sonic boom there looks like a ring shaped cloud behind it. Hope this helps! For further confirmation/information, just look up sonic boom science (or else you will get sonic boom the video game)

7 0
3 years ago
Read 2 more answers
The position coordinate of a particle which is confined to move along a straight line is given by s =2t3−24t+6, where s is measu
Gre4nikov [31]

Answer:

a) the answer is t=4 seconds

b) acceleration is zero

c) displacement= 142 m

Explanation:

Given the position of the particle

s=2t^3-24t+6

a) the time required when velocity v=72 m/s

v=72=\frac{ds}{st}=6t^2-24

now we solve for time t

6t^2=72+24=96\\\\\implies t^2=\frac{96}{6}\\\therefore t=4 s

b) acceleration when v=30 m/s

acceleration is the time derivative of velocity i.e

a=\frac{dv}{dt}=\frac{d}{dt}(30)=0

c) the net displacement of the particle during the interval t = 1 s to t = 4 s is

s_4-s_1=2t^3-24+6|_{t=4}-2t^3-24+6|_{t=1}\\s_4-s_1=126-(-16)=142 m

7 0
4 years ago
If a projectile travels in the air for 8 seconds when does a projectile reach its highest point
emmainna [20.7K]

Given

The projectile is in air for a time of t=8 sec

To find

The time it takes to reach the highest point

Explanation

A projectile moves up to the highest point and then again moves down following a parabolic path.

So it will reach the highest point at a time half the time it requires to follow teh parabolic path.

The time taken to reach the highest point is 4 sec

Conclusion

The time taken is 4 sec.

5 0
2 years ago
Wind instruments like trumpets and saxophones work on the same principle as the "tube closed on one end" that we examined in our
Gnom [1K]

Answer:

 f = v / 4L

the frequency of the instruments is reduced by the decrease in the speed of the wave with the temperature.

Explanation:

In wind instruments the wave speed must meet

          v = λ f

          λ = v / f

from v is the speed of sound that depends on the temperature

          v = v₀ \sqrt{1+ \frac{T [C]}{273} }

where I saw the speed of sound at 0ºC v₀ = 331 m/s  the temperature is in degrees centigrade, we can take the degrees Fahrenheit to centigrade with the relation

            (F -32) 5/9 = C

            76ºF = 24.4ºC

            45ºF = 7.2ºC

           

With this relationship we can see that the speed of sound is significantly reduced when leaving the house to the outside

at T₁ = 24ºC               v₁ = 342.9 m / s

at T₂ = 7ºC                 v₂ = 339.7 m / s

To satisfy this speed the wavelength of the sound must be reduced, so the resonant frequencies change

              λ / 4 = L

              λ= 4L

              v / f = 4L

              f = v / 4L

Therefore, the frequency of the instruments is reduced by the decrease in the speed of the wave with the temperature.

3 0
3 years ago
A photographer uses his camera, whose lens has a 50 mm focal length, to focus on an object 1.5 m away. He then wants to take a p
allsm [11]

Answer:

The distance is z = 0.008 \ m

Explanation:

From the question we are told that

   The  focal length is  f =  50 \ mm  =  50*10^{-3} \ m

   

Generally the lens equation is mathematically represented as  

     \frac{1}{u}  + \frac{1}{v} =  \frac{1}{f}

At  image  distance  u =  1.5 m

       \frac{1}{1.5}  + \frac{1}{v} =  \frac{1}{50 *10^{-3}}

=>      \frac{1}{50 *10^{-3}}  - \frac{1}{1.5}    =  \frac{1}{v}

=>v  =  0.052 \ m

At  image  distance  u = 30\  cm  =  0.30 \ m

        \frac{1}{0.3}  + \frac{1}{v_1} =  \frac{1}{50 *10^{-3}}

=>     \frac{1}{50 *10^{-3}}  - \frac{1}{0.30 }    =  \frac{1}{v_1}

=>    v_1 = 0.06 \ m

The distance the lens need to move is evaluate as

   z =  |v - v_1|

   z =  |0.052 - 0.06|

   z = 0.009 \ m

8 0
3 years ago
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