1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
son4ous [18]
3 years ago
12

We intend to observe two distant equal brightness stars whose angular separation is 50.0 × 10-7 rad. Assuming a mean wavelength

of 550 nm, what is the smallest diameter objective lens that will resolve the stars (according to Rayleigh’s criterion)?
Physics
2 answers:
san4es73 [151]3 years ago
8 0

Answer:

13.4cm

Explanation:

According to Rayleigh’s criterion the angular resolution to distinguish two objects is given by:

\theta=1.22\frac{\lambda}{b}

θ = 50.0*10^-7 rad

λ: wavelength of the light = 550nm

b = diameter of the objective

By doing b the subject of the formula and replacing the values of the angle and wavelength you obtain:

b=1.22\frac{\lambda}{\theta}=1.22\frac{550*10^{-9}m}{50.0*10^{-7}rad}=0.134m=13.4cm

hence, the smallest diameter objective lens is 13.4cm

My name is Ann [436]3 years ago
3 0

Answer:

0.134 m

Explanation:

Given:

θ=50.0 × 10-7

λ=550 nm

angular resolution to distinguish two objects developed by  Lord Rayleigh is given by:

θ= 1.22 λ/d

where λ is the wavelength of light (or other electromagnetic radiation) and D is the diameter of the aperture, lens, mirror, etc., with which the two objects are observed.

d= 1.22 λ/θ

d= (1.22 x 550 x 10^{-9}) / 50 x 10^{-7}

d=0.134 m

Therefore, the smallest diameter objective lens that will resolve the stars is 0.134 m

You might be interested in
Bob is coming toward you at a speed of 75 km/hr. You throw a baseball in his direction at 75 km/hr. What does he see the ball do
KengaRu [80]

Answer:

He sees the ball coming at him at 150 km/hr.

Explanation:

In Newtonian physics, the observer would say that the velocity of the first object is the sum of the two velocities.

Due to the same direction, both velocities will be added.

4 0
3 years ago
Read 2 more answers
A cat leaps into the air to catch a bird with an initial speed of 2.74 m/s at an angle of 60.0° above the ground. What is the hi
Volgvan

Answer: D. 0.29 m

Explanation:

We will use the following equations to describe the leap of the cat:

y=V_{o}sin\theta t-\frac{gt^{2}}{2}   (1)

V_{y}=V_{oy}-gt   (2)

Where:

y  is the height of the cat  

V_{oy}=V_{o}sin\theta is the cat's initial velocity

\theta=60\°

g=9.8m/s^{2}  is the acceleration due gravity

t is the time

V_{y} is the y-component of the velocity

Now the cat will have its maximum height y_{max} when V_{y}=0. So equation (2) is rewritten as:

0=V_{oy}-gt   (3)

Finding t:

t=\frac{V_{oy}}{g}=\frac{V_{o}sin\theta}{g}   (4)

t=\frac{2.74 m/s sin(60\°)}{9.8m/s^{2}}   (5)

t=0.24 s   (6)

Substituting (6) in (1):

y_{max}=(2.74 m/s)sin(60\°) (0.24 s)-\frac{(9.8m/s^{2})(0.24 s)^{2}}{2}   (7)

Finally:

y_{max}=0.287 m \approx 0.29 m   (8)

3 0
3 years ago
What does the graph to the right represent?
Nastasia [14]
C the thermal equilibrium

4 0
3 years ago
Read 2 more answers
A circular-motion addict of mass 83.0 kg rides a Ferris wheel around in a vertical circle of radius 13.0 m at a constant speed o
Svetllana [295]

Answer:

(A) Time period T = 6.28 SEC

(B) At highest point fore is - 575.83 N

(B) At lowest point force is 1050.97 N      

Explanation:

We have given that mass m = 83 kg

Radius r = 13 m

Speed v = 6.10 m/sec

(A) Time period of the motion is given by T=\frac{2\pi r}{v}=\frac{2\times 3.14\times 13}{6.10}=6.28sec

(b) Net force is given by F_{NET}=\frac{mv^2}{r}=\frac{83\times 6.10^2}{13}=237.571N

Force due to gravity F_{gravity}=mg=83\times 9.8=813.4N

At highest point F_{NORMAL}=F_{NET}-F_{GRAVITY}=237.57-813.4=-575.83

(B) At lowest point F_{NORMAL}=F_{NET}+F_{GRAVITY}=237.57+813.4=1050.97N

5 0
3 years ago
Jessica took a mylar balloon outside on a very cold day. As she waited for the bus the balloon began to shrink. What is the best
Reil [10]
A as the particles became cooler they lost energy and moved less resulting in less pressure on the balloon
8 0
3 years ago
Read 2 more answers
Other questions:
  • A bug flies at a velocity of 0.75 m/s into an oncoming breeze blowing at 0.25 m/s. What is the resultant velocity of the bug?
    5·1 answer
  • A 3.50 kg block is pushed along a horizontal floor by a force of magnitude 15.0 N at an angle θ = 30.0° with the horizontal. The
    7·1 answer
  • What are the characteristics of low energy waves
    8·1 answer
  • Which best explains why scientific theories grow stronger over time?
    7·1 answer
  • What were the patterns that people saw in the sky long ago?
    10·2 answers
  • Bill forgets to put his car in park and it starts rolling west. When it is moving at a speed of 3.5 m/s, it collides with Tanya'
    14·2 answers
  • A huge cloud of dust and gas called the _____ collapsed to form our solar system.
    13·2 answers
  • Which excerpt from The Number Devil best conveys that the author's purpose for writing is to entertain?
    9·2 answers
  • What acceleration will a force of 20 newtons cause if applied to a go-kart with a mass of 20 kilograms?
    11·1 answer
  • What is the momentum of a 5 kg object that has a velocity of 1. 2 m/s? 3. 8 kg • m/s 4. 2 kg • m/s 6. 0 kg • m/s 6. 2 kg â
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!