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
Korolek [52]
4 years ago
13

Sometime around 2024, astronomers at the European Southern Observatory hope to begin using the E-ELT (European Extremely Large T

elescope), which is planned to have a primary mirror 42 m in diameter. Let us assume that the light it focuses has a wavelength of 550 nm. (a) What is the most distant Jupiter-sized planet the telescope could resolve, assuming its resolution is limited only by diffraction? Express your answer in meters and light years. (b) The nearest known exoplanets (planets beyond the solar system) are around 20 light years away. What would have to be the minimum diameter of an optical telescope to resolve a Jupiter-sized planet at that distance using light of wavelength 550 nm? ( 1 light year = 9.461 × 10 15 m )

Physics
1 answer:
soldier1979 [14.2K]4 years ago
5 0

Answer:

Expression for angular resolution is;

θ = 1.22π/d

a) 0.85 light year

b) 2.15 x 10³ m

Explanation:

See attached images

You might be interested in
If an asteroid is 4 AU from the Sun, what is the period of revolution around the Sun for the asteroid?
Vedmedyk [2.9K]

Answer: 8 years

Explanation:

According to Kepler’s Third Law of Planetary motion <em>“The square of the orbital period of a planet is proportional to the cube of the semi-major axis (size) of its orbit”:</em>

<em />

T^{2}\propto a^{3} (1)

In other words: this law states a relation between the orbital period T of a body (moon, planet, satellite, comet, asteroid) orbiting a greater body in space (the Sun, for example) with the size a of its orbit.  

However, if T is measured in years (Earth years), and a is measured in astronomical units (equivalent to the distance between the Sun and the Earth: 1AU=1.5(10)^{8}km), equation (1) becomes:

T^{2}=a^{3} (2)

This means that now both sides of the equation are equal.

Knowing a=4 AU and isolating T from (2):

T=\sqrt{a^{3}} (3)

T=\sqrt{(4 AU)^{3}} (4)

Finally:

T= 8 yearsThis is the period of the asteroid

3 0
3 years ago
A tube with sealed ends has some sand at one end. When the tube is turned upside down the sand falls 0.6m then settles down agai
barxatty [35]

Answer:

2.943 J

Explanation:

Data:

acceleration due to gravity, g = 9.81 m/s²

mass of sand  = 0.5 kg

distance  = 0.6

Thermal energy  = the energy possessed by the falling sand

The force of sand = ma

                              = 0.5 * 9.81\\= 4.905 N

However, the energy is given as the force multiplied by the distance, so

E =fd

   4.905 * 0.6\\= 2.943 J

Therefore, the thermal energy is 2.943 joules

 

4 0
3 years ago
Read 2 more answers
Find a unit vector normal to the plane containing Bold u equals 2 Bold i minus Bold j minus 3 Bold k and Bold v equals negative
Nastasia [14]

Answer:

\hat{w}=\dfrac{\vec{5i+13j-k}}{13.92}

Explanation:

It is given that,

\vec{u}=2i-j-3k

\vec{v}=-3i+j-2k

Taking the cross product of v and v such that,

\vec{w}=u\times v

\vec{w}=(2i-j-3k)\times (-3i+j-2k)

\vec{w}=5i+13j-k

|w|=\sqrt{5^2+13^2(-1)^2}

|w| = 13.92

Let \hat{w} is the unit vector normal to the plane containing u and v. So,

\hat{w}=\dfrac{\vec{w}}{|w|}

\hat{w}=\dfrac{\vec{5i+13j-k}}{13.92}

Hence, this is the required solution.

7 0
4 years ago
Does the term indivisible still describe the atom
igomit [66]
No <span>The atom is composer of neutrons, protons and electrons. </span>
<span>So it is divisible in smaller pieces.</span>
4 0
3 years ago
A machine has mechanical advantage 2.What does that mean​
EleoNora [17]

Answer:

Mechanical advantage is the measure of the force amplification achieved by using a tool , mechanical device or machine . The machine preserve the input power and supply trade off force. against movement to obtain a desired amplification in the output force .

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of these temperatures is likely when a container of water at 20° C is mixed with water at 28° C?
    13·1 answer
  • When baking soda and vinegar react, the surface bubbles. What does this most likely indicate?
    12·3 answers
  • Which property is expressed in distance units?
    9·1 answer
  • An electric motor consumes 10.8 kJ of electrical energy in 1.00 min . Part A If one-third of this energy goes into heat and othe
    8·1 answer
  • Which of the following objects would experience the largest force of gravity?
    5·2 answers
  • A force of 100 N is applied to a crate at an angle of 60° to the horizontal surface. The force causes the crate to move 2 m acro
    13·2 answers
  • Which describes a high frequency wave?
    6·1 answer
  • Some of three vectors which have same magnitude
    12·1 answer
  • When driving at slower speeds you need to use what type of steering
    6·1 answer
  • Ocean waves with a wavelength of 12.9 m are
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!