1. The spring in a trampoline has been stretched 0.25m and has a spring

Using Rayleigh's criterion, calculate the diameter of an earth-based telescope that gives this resolution with 700 nm light.

pogonyaev

Complete Question

Due to blurring caused by atmospheric distortion, the best resolution that can be obtained by a normal, earth-based, visible-light telescope is about 0.3 arcsecond (there are 60 arcminutes in a degree and 60 arcseconds in an arcminute).Using Rayleigh's criterion, calculate the diameter of an earth-based telescope that gives this resolution with 700 nm light

Answer:

The diameter is $D = 0.59 \ m$

Explanation:

From the question we are told that

The best resolution is $\theta = 0.3 \ arcsecond$

The wavelength is $\lambda = 700 \ nm = 700 *10^{-9 } \ m$

Generally the

1 arcminute = > 60 arcseconds

=> x arcminute => 0.3 arcsecond

So

$x = \frac{0.3}{60 }$

=> $x = 0.005 \ arcminutes$

Now

60 arcminutes => 1 degree

0.005 arcminutes = > z degrees

=> $z = \frac{0.005}{60 }$

=> $z = 8.333 *10^{-5} \ degree$

Converting to radian

$\theta = z = 8.333 *10^{-5} * 0.01745 = 1.454 *10^{-6} \ radian$

Generally the resolution is mathematically represented as

$\theta = \frac{1.22 * \lambda }{ D}$

=> $D = \frac{1.22 * \lambda }{\theta }$

=> $D = \frac{1.22 * 700 *10^{-9} }{ 1.454 *10^{-6} }$

=> $D = 0.59 \ m$

4 0

3 years ago

If we have a one-electron atom, and the electron can occupy any of 5 different energy levels, and transitions are possible betwe

xeze [42]

Answer:

10

Explanation:

Lets say that a,b,c,d,e are the five allowed energy states in order of decreasing energy. Then the number of possible different spectral lines comes from the electron dropping from a high state to a lower state. So, they will do so in following ways:

a - b

a - c

a - d

a- e

b - c

b - d

b- e

c - d

c- e

d- e

Ans- Ten different possible energy jumps giving six different colors or lines in the spectrum.

7 0

3 years ago

A bus travels 280 km south along a straight path with an average velocity of 88 km/h to the south. The bus stops for 24 min, the

IgorC [24]

Answer:

76.78 km/h To calculate the average velocity for the total trip, you need to first determine the total distance traveled and the total time taken. First, let's calculate the total distance traveled. The trip consists of 2 legs. The 1st leg is 280 km and the 2nd leg is 210 km. So the total distance is 280 km + 210 km = 490 km. Now you need to calculate the total time taken. For this problem, there are 3 intervals that need to be accounted for. The travel time for the 1st leg, the duration of the rest stop in the middle, and the travel time for the 2nd leg. The travel time for both legs is calculated by dividing the distance traveled by the average speed. So for the first leg we have 280 km / (88 km / h) = 3.181818 h The 2nd leg is 210 km / (75 km/h) = 2.8 h The rest stop in hours is 24 min / (60 min/h) = 0.4 h The total time is 3.181818 h + 2.8 h + 0.4 h = 6.381818 h The average velocity is the distance divided by the time, giving: 490 km / (6.381818 h) = 76.78 km/h

Explanation:

Hope this helps!!

3 0

3 years ago

Read 2 more answers

A 1.5m wire carries a 3 A current when a potential difference of 86 V is applied. What is the resistance of the wire?

Iteru [2.4K]

We know, R = V / I
Here, V = 86 V
I = 3 A

Substitute their values,
R = 86 / 3
R = 28.67 Ohm

In short, Your Answer would be 28.67 Ohms

Hope this helps!

8 0

3 years ago

Which of the following are important biotic factors that can affect the structure and organization of biological communities?

umka21 [38]

Answer:

c. predation, competition, parasitism

Explanation:

The important and only biotic factors from the given choices that can affect the structure and organization of biological communities are predation, competition and parasitism.

These factors ensures that there are interaction between organisms of the same and different species and only occur in life.

Biotic factors are the living component of the ecosystem that dictates what happens therein.

Predation is an interaction between two organisms in which the predator, bigger organism feeds on the prey, smaller organism.
Competition occurs where two organism of the same or different species struggles for limited resources in the ecosystem.
Parasitism is an interaction where one organism feeds on the another and it causes harm to it. The organism feeding on another is called the parasite. And the one it is dependent on is the host.

All of these are biotic factors.

3 0

3 years ago