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
Why VR of second class lever is greater than 1?<br><br><br><br><br>​
Olin [163]

Second class lever has mechanical advantage always more than one as load is in between fulcrum and effort making the effort arm longer than the load arm. It multiplies force. ... It does not multiply force but changes the direction of force.

3 0
3 years ago
Read 2 more answers
Asap help please for q3
Digiron [165]
Second option would be correct.
7 0
3 years ago
Te agrada realizaTe agrada realizar actividades físicas?, ¿por qué?r actividades físicas?, ¿por qué?
Ilya [14]
Danabausysjlddh dkd dhdudbd
7 0
3 years ago
What is the diameter of a 12lb shot if the specific gravity is of the shot iron in the shot is 6.8, the density of fresh water 6
marysya [2.9K]

Answer:

The diameter is 0.378 ft.

Explanation:

Given that,

Mass of shot = 12 lb

Density of fresh water = 62.4 lb/ft

Specific gravity = 6.8

We need to calculate the volume of shot

V = \dfrac{4}{3}\pi r^3\ ft^3

The density of shot is

Using formula of density

\rho = \dfrac{m}{V}

Put the value into the formula

\rho =\dfrac{12}{ \dfrac{4}{3}\pi r^3}

We need to calculate the radius

Using formula of specific gravity

specific\ gravity =\dfrac{density\ of\ shot}{dnsity\ of\ water}

Put the value into the formula

6.8=\dfrac{\dfrac{12}{\dfrac{4}{3}\pi r^3}}{62.4}

r^3=\dfrac{12}{\dfrac{4}{3}\pi\times6.8\times62.4}

r^3=0.0067514

r =(0.0067514)^{\frac{1}{3}}

r=0.1890\ ft

The diameter will be

d = 2\times r

d =2\times0.1890

d =0.378\ ft

Hence, The diameter is 0.378 ft.

7 0
3 years ago
On a frictionless track,cart 1 is moving with a constant,rightward(+) velocity of 1.0m/s.Cart 2 is also moving rightward with co
mamaluj [8]

Answer:

The final velocity of cart 1 is 3m/s

Explanation:

From principle of conservation of linear momentum, which states that sum of the momentum before collision is equal to the sum of the momentum after collision.

Momentum, P is given as mass x velocity.

ΔP = Δmv = m₁u₁ +m₂u₂ = m₁v₁ + m₂v₂

Assumptions:

  • If the two carts are moving on frictionless track, then limiting frictional forces due to their weights are negligible.
  • After the elastic collision, the two carts will move separately with different velocity

u₁ + u₂ = v₁ + v₂;

where;

u₁ and u₂  are the initial velocity for cart 1 and cart 2 respectively

v₁ and v₂  are the final velocity for cart 1 and cart 2 respectively

1 m/s + 5 m/s = v₁  + 3m/s

6 m/s =  v₁  + 3m/s

v₁  = 6 m/s - 3m/s = 3m/s

Therefore, the final velocity of cart 1 is 3m/s

4 0
3 years ago
Other questions:
  • A rock collection comes from which part of Earth?
    13·2 answers
  • Which organ, located just below the diaphragm, turns waste materials from the blood into urea?
    8·2 answers
  • Two bran muffins are sitting on a table at room temperature.
    13·1 answer
  • What is the time constant for the discharge of the capacitor? express your answer with the appropriate units?
    5·1 answer
  • What is the refractive index of a medium when the light strikes the medium after traveling through air at an angle of 23.3° and
    13·2 answers
  • When water is boiled at a pressure of 2.00 atm, the heat of vaporization is 2.20×106J/kg2.20×10
    13·1 answer
  • Calculate the man’s mass. (Use PE = m × g × h, where g = 9.8 N/kg.)
    13·1 answer
  • Suppose a nonconducting sphere, radius r2, has a spherical cavity of radius r1 centered at the sphere's center. Assuming the cha
    7·1 answer
  • She walks 50 yards north 20 yards east 50 yards south what is total displacement
    7·1 answer
  • What would make oppositely charged objects attract each other more?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!