Two thin lenses, of focal lengths f1 and f2 placed in contact with each other are equivalent to a single lens of focal length of:
a) f1 + f2.
b) 1/(f1 + f2).
c) (f1 + f2)/(f1×f2).
d) (f1×f2)/(f1 + f2).
Answers
The equivalent focal length (Fe) of two thin lenses with focal lengths f₁ and f₂ placed in contact with each other is given by: Fe = (f₁ × f₂)/(f₁ + f₂). So, the correct answer is option D.
When two thin lenses of focal lengths f1 and f₂ are in contact, they are equivalent to a single lens with a focal length f given by:
1/f = 1/f₁ + 1/f₂
Inverting the equation gives:
f/1 = f₁×f₂/f1 + f₂f/1
= (f₁ × f₂)/(f₁ + f₂)
Thus, two thin lenses of focal lengths f₁ and f₂ placed in contact with each other are equivalent to a single lens of focal length (f₁ × f₂)/(f₁ + f₂).
Learn more about focal lengths: https://brainly.com/question/16188698
#SPJ11
Related Questions
WF4-358 is a white dwarf in the globular cluster NGC 6397. This star's spectrum is highlighted with the red box. Notice that wavelength is tracked on the X axis and intensity is tracked on the Y axis. For this activity, we will be paying attention to the wavelengths that have the highest intensity. As you progress throughout the steps of this activity, you will be filling in this table:
Wavelength Suspected Element Frequency Energy
1.
2.
3.
Step 1: Study the Spectrum
Familiarize yourself with the spectral signature of this star, which shows which wavelengths are absorbed at which intensities. After studying the spectrum, notice which wavelengths ranges have the highest intensity (in other words, notice where the black line under WF4-358 reaches a high point and note which wavelengths ranges that point is associated with). Write down three wavelengths that have the highest intensity in WF4-358. Not that because of the scale of this particular graph, you likely won't be able to tell an exact wavelength. Instead, make the best guess that you can with the information you have. Fill in the first column (Wavelengths) of the table with your answer.
Step 2: Determine Elements
After documenting three wavelengths, refer to the diagram below to investigate which elements may be associated with those wavelengths.
For each of the three peaks in the spectrum you noted, make a guess about which element that peak represents. You will take the wavelength you noted in Step 1, and finding that wavelength on the diagram. For example, if you thought that a wavelength of 475 nm was a peak, you would find that wavelength on the chart and note that Argon might be the element represented by that peak. Repeat for all three peaks. Fill the second column (Suspected Element) of the table with your answers.
Step 3: Find Frequencies
Do some online research to find the frequencies of the three wavelengths you identified. Fill in the third column (Frequency) of the table with your answers.
Step 4: Calculate Energy
Use Planck's Equation to calculate the energy of a photon of light at each of the wavelengths you identified. Planck's Equation goes as follows:
E = hv
In this equation:
E = energy, and is unknown. This is what we are solving for.
h = Planck's constant (6.626 x 10^-34 joule-seconds)
v = frequency
Fill in the last column (Energy) of the table with your answers.
Step 5: Reflection Questions)
Would you expect the spectrum of a blackbody radiator to have peaks and valleys like the spectrum of WF4-358? Why or why not? Define blackbody radiators in your answer.
Pick one element from the chart you made. How might you expect its wavelength to change if it goes from traveling through Earth's atmosphere to traveling through water in the ocean?
Submit the following in one word processing document:
The table you completed in Steps 1-4
The answers to the reflection questions from Step 5
Answers
The highest points of intensity for WF4-358 include 390nm, 402nm, and 420nm (all estimated by x-axis locations in 10 nm increments).
What is wavelength?Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire. In physics, the wavelength is the spatial period of a periodic wave—the distance over which the wave's shape repeats.
These are the closest approximate wavelengths along the x-axis that correspond to the highest intensities along the y-axis for WF4-358.
The highest points of intensity for WF4-358 include 390nm, 402nm, and 420nm (all estimated by x-axis locations in 10 nm increments).
Learn more about wavelength on
https://brainly.com/question/10728818
#SPJ1
What are the potential products of volcanic eruptions
Answers
Based on your investigations with the same in the energy token model which of the following statements is the most accurate claim
A. increase carbon dioxide or methane makes more sunlight into earth system.
B. increased carbon dioxide or methane, hold energy in the atmosphere permanently.
C. increase carbon dioxide or methane redirect, some energy that was leaving back to the earth surface.
I NEED HELPPPPPP NOWWWW!!! plsss
Answers
A sphere of radius 10.0cm is moulded into a uniform cylindrical wire of same radius r calculate length in millimeters
Answers
Answer:
133.33 mm
Explanation:
First we need to find the volume of the sphere. The volume of a sphere is given by:
V = (4/3) * pi * r^3
With a radius of 10 cm, we have:
V = (4/3) * pi * r^3 = 4188.79 cm3
The sphere will be moulded into a cylinder, so the volume will be the same. The volume of a cylinder is:
V = pi * r^2 * h
Where h is the height of the cylinder, and for this case, it will be the length.
The radius is the same old radius, so we have:
4188.79 = pi * 10^2 * h
h = 4188.79 / 100pi = 13.3333 cm
In millimeters, we have h = 133.33 mm
a cyclist must travel 800 km. How many day will the trip take if the cyclist travels 8 h/day at an average speed of 16 km/h ?
Answers
16 km/h x 8 h = 128 km per day
800 km / 128 km per day = 6.25 days
it will take 6 1/4 days
Un proton penetra perpendiculares en un campo magnetico de 5 teslas con una velocidad de 2.10 m/s calcula
Answers
Answer:
The magnetic force acting on the proton is 1.68 x 10^-18 N.
Explanation:
magnetic field, B = 5 T
speed , v = 2.1 m/s
charge q = 1.6 x 10^-19 C
Angle, A = 90 degree
The magnetic force on the charge particle is given by
\(F = q v B sin A\\\\F = 1.6\times 10^{-19}\times 2.1\times 5\times sin 90\\\\F = 1.68\times 10^{-18} N\)
if a plane flies from the equator towards the south pole it would be deflected to the:group of answer choiceswesteast
Answers
a plane flying from the equator towards the south pole would be deflected to the east. This is due to the Coriolis effect, which causes objects moving in the northern hemisphere to be deflected to the right, and objects moving in the southern hemisphere to be deflected to the left.
The explanation for this is that as the earth rotates, objects on the surface (like a plane) are moving at different speeds depending on their latitude. Near the equator, the surface of the earth is moving faster than near the poles. This difference in speed causes a deflection in the direction of motion, which is to the right in the northern hemisphere and to the left in the southern hemisphere. Therefore, a plane flying from the equator towards the south pole would be deflected to the east.
The main answer to your question is that if a plane flies from the equator towards the south pole, it would be deflected to the east.
This deflection is due to the Coriolis effect, which causes moving objects, like planes, to be deflected relative to the Earth's rotation. As the plane moves from the equator towards the south pole, it experiences an eastward deflection because it is traveling from a region of higher rotational speed (the equator) to a region of lower rotational speed (the south pole). This difference in rotational speed causes the eastward deflection.
To know more about Coriolis effect, visit
https://brainly.com/question/14290551
#SPJ11
4) Gabo bought three chicken dinners for $6.95 each and one hamburger meal for $5.75. He and three friends decide to divide the cost of the meals equally. How much money does Gabo receive in total from his three friends?
(A) $6.35 (B) $6.65 (C) $19.65 (D) $19.95 (E) $26.60
Answers
Answer: the answer is d $19.95
Explanation:
chicken dinner: 6.95 x 3 = 20.85
burger: 5.75
20.85 + 5.75 = 26.6
26.6 divided by 4 (bc theres 4 ppl and the bill needs to be split equally)
26.6/4= 6.65
and since 3 friends are paying him back u gotta do 6.65 x 3 = 19.95
If a ball rolls down an inclined plane and picks up 4 m/s each second it rolls, its acceleration is:
a) one-half of 4 m/s.
b) one-half of 4 m/s2.
c) 4 m/s2.
d) 10m/s2.
Answers
If a ball rolls down an inclined plane and picks up 4 m/s each second it rolls, its acceleration is 4 m/s2. The correct option is c
The acceleration of the ball rolling down the inclined plane can be determined using the formula:
a = (vf - vi) / t
where vf is the final velocity, vi is the initial velocity, and t is the time interval.
Since the ball picks up 4 m/s each second, its acceleration is constant, and we can assume that the initial velocity, vi, is zero. Therefore, the acceleration can be calculated as follows:
a = (vf - vi) / t
a = vf / t
a = 4 m/s / 1 s
a = 4 m/s^2
Therefore, the acceleration of the ball is 4 m/s^2, and the correct answer is (c) 4 m/s^2.
To know more about velocity , refer here :
https://brainly.com/question/30559316#
#SPJ11
A lamp uses a standard 9 V battery, How much resistance is in the circuit is in the current of 1.05 A?
Answers
Answer:
R= v/I
R= 9/1.05=8.5714 ohms
A + 9.4 nC point charge and a - 2.31 nC point charge are 4.94 cm apart. What is the electric field strength at the midpoint between the two charges?
Answers
Given:
The charge is q1 = 9.4 nC
The charge q2 = -2.31 nC
The distance between them is r = 4.94 cm
To find the electric field strength at the midpoint between two charges.
Explanation:
The electric field strength at the midpoint will be the sum of electric field strength due to q1 and q2.
The electric field strength can be calculated by the formula
\(E=\frac{kq}{r^2}\)Here, k is the electrostatic constant whose value is
\(k=9\times10^9\text{ N m}^2\text{ /C}^2\)The electric field strength due to the charge q1 is
\(\begin{gathered} E_1=\frac{kq1}{(\frac{r}{2})^2} \\ =\frac{9\times10^9\times9.4\times10^{-9}}{(\frac{4.94}{2}\times10^{-2})^2} \\ =1.39\times10^5\text{ V/m} \end{gathered}\)The electric field strength due to the charge q2 is
\(\begin{gathered} E_2=\frac{kq2}{(\frac{r}{2})^2} \\ =\frac{9\times10^9\times2.31\times10^{-9}}{(\frac{4.94}{2}\times10^{-2})^2} \\ =3.4\times10^4\text{ V/m} \end{gathered}\)The electric field strength at the midpoint will be
\(\begin{gathered} E=E_1+E_2 \\ =(1.39\times10^5)+(3.4\times10^4) \\ =173000\text{ V/m} \end{gathered}\)Thus, the electric field strength at the midpoint between the two charges is 173000 V/m
For the same angle of incidence, the angle of 'refraction in
three different media A, B and C are 10°, 25° and 40°,
respectively. In which medium the velocity of light will be
maximum?
Answers
Answer:
In the medium where the angle of incedence is 10°
Explanation:
This is because angle of incedence is directly proportional to refractive index of a medium.
Since refractive index is inversely proprtional to speed of light in medium, it will be the case.
Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
Answers
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
To know more about damping ratios, refer here:
https://brainly.com/question/31463018#
#SPJ11
(figure 1) shows two blocks sliding on a frictionless surface. eventually the smaller block overtakes the larger one, collides with it, and sticks. suppose that m
Answers
The final speed after the collision of the blocks is 5u/4. The final speed is given in terms of initial velocity.
Given:
Mass of the first block, m
Mass of the second block, 3 m
The initial velocity of the first block, 2u
The initial velocity of the second block, u
The momentum can be determined from the product of mass and velocity.
From the conservation of momentum:
initial momentum = final momentum
2mu + 3mu = (3 m+m) v
The final speed is:
5mu = 4mv
v = 5u/4
Hence, the final speed after the collision of the blocks is 5u/4. The final speed is given in terms of the initial speed.
To learn more about Speed, here:
https://brainly.com/question/28224010
#SPJ12
#Complete question is:
shows two blocks sliding on a frictionless surface. eventually, the smaller block overtakes the larger one, collides with it, and sticks. suppose that m
What is the speed of the two blocks after the collision?
. A rock is dropped from a height of 4 m. How fast is it going when it hits the ground? The rock has a mass of 2 kg. (Hint: MEi = MEf)
Answers
Hello!
When the rock is dropped, it only contains Gravitational Potential Energy, and when it hits the ground, it contains Kinetic Energy.
So:
PE = KE
\(\large\boxed{mgh = \frac{1}{2}mv^2}\)
We can rearrange to solve for velocity. Cancel out mass and solve.
\(gh = \frac{1}{2}v^2\\\\2gh = v^2\\\\v = \sqrt{2gh}\)
Plug in the givens:
\(v = \sqrt{2(9.8)(4)} = \boxed{8.85 \frac{m}{s}}\)
Answer:
8.85 m/s
Explanation:
centric forces tend to promote _________ movement; eccentric forces tend to promote __________ movement.
Answers
Centric forces tend to promote linear or straight-line movement, while eccentric forces tend to promote rotational or angular movement.
Centric and eccentric forces are terms used in the context of muscle movement and contraction. Centric forces refer to forces that act along the longitudinal axis of a bone, causing linear motion of the bone. These forces are typically produced by the contraction of muscles that cross the joint perpendicular to its axis. An example of a centric force would be the contraction of the biceps muscle to lift a weight. Eccentric forces, on the other hand, refer to forces that act on a bone in a direction perpendicular to its longitudinal axis, causing rotational or angular motion of the bone.
To know more about Centric forces, here
brainly.com/question/14089595
#SPJ4
is the thermal energy transferred in a refrigerator primarily by conduction,convection or radiation? explain your answer
Answers
Answer: Convection
Explanation: convection is the most present process in the refrigeration equipment you may deal with. It occurs mainly in the fluids
What is the main difference between a gas and a
plasma?
Answers
True or False: GPS satellites broadcast signals down to Earth, which contain information about the position of the satellite, and the precise time of the signal transmitted from the satellite.
Answers
Answer:
true
Explanation:
based on a scientist's research it is proven true because they travel the exosphere and they give information to the weather people and is used for the latest technology. :>
____ must be included when calculating a dwelling unit service.
Answers
Electrical loads and connected devices must be included when calculating a dwelling unit service.
When calculating the service size for a dwelling unit, the electrical loads and connected devices must be considered to ensure that the electrical system can safely and effectively handle the demand. These loads include things like lighting, heating, cooling, and appliances, as well as any additional electrical needs such as home offices or home entertainment systems.
A qualified electrician will assess the electrical needs of the home and calculate the service size required based on the total load. This ensures that the electrical service is properly sized to handle the needs of the home and can prevent overloading, tripping breakers, or even electrical fires. It is important to consult with a licensed electrician to ensure that your dwelling unit service is properly designed and installed to meet all electrical safety codes and standards.
Learn more about electrical loads here:
https://brainly.com/question/30437919
#SPJ11
Find the exact value of cos(a+b) if sin a = 3/5 and sin b = 15/13 and are acute
Answers
The exact value of cos(a + b) cannot be determined with the given information, as it involves the square root of a negative number, which results in an imaginary value.
To find the exact value of cos(a + b), we can use the trigonometric identity:
cos(a + b) = cos(a) * cos(b) - sin(a) * sin(b)
Given that sin(a) = 3/5 and sin(b) = 15/13, we can use the Pythagorean identity to find the value of cos(a):
cos(a) = sqrt(1 - sin^2(a))
cos(a) = sqrt(1 - (3/5)^2)
cos(a) = sqrt(1 - 9/25)
cos(a) = sqrt(16/25)
cos(a) = 4/5
Similarly, we can find the value of cos(b):
cos(b) = sqrt(1 - sin^2(b))
cos(b) = sqrt(1 - (15/13)^2)
cos(b) = sqrt(1 - 225/169)
cos(b) = sqrt(169 - 225)/169
cos(b) = sqrt(-56)/169 (Since sin(b) = 15/13, b must be an obtuse angle)
Now, we can substitute the values of cos(a) and cos(b) into the formula for cos(a + b):
cos(a + b) = (4/5) * (sqrt(-56)/169) - (3/5) * (15/13)
Learn more about exact value here:
https://brainly.com/question/32307380
#SPJ11
Gianna is conducting an experiment. She would like to know what will happen if she removes the roots from a plant. She removes the roots from a plant and observes the plant for three days. For the experiment Gianna is conducting, what hypothesis would be supported by the outcome of her experiment?
If I remove the roots from a plant, it will die because it will have no way to absorb water and nutrients. If I remove the roots from a plant, it will not die because it can absorb food through the leaves. If I remove the roots from a plant, it will need to receive more sunlight to receive food. If I remove the roots from a plant, the chlorophyll in the leaves will increase and save the plant
Answers
The hypothesis that would be supported by the outcome of Gianna's experiment is "If I remove the roots from a plant, it will die because it will have no way to absorb water and nutrients."
This is because the roots of a plant are essential for the absorption of water and nutrients from the soil. Without the roots, the plant will not be able to receive the necessary nutrients and water it needs to survive, leading to its eventual death.
Therefore, the hypothesis that states that the removal of the roots will result in the death of the plant is the one that would be supported by the outcome of Gianna's experiment.
Learn more about Gianna's experiment at: https://brainly.com/question/21549725
#SPJ11
Three 21 ohm resistors are wired in parallel, what is the total resistance?
Answers
Answer:
7 Ω
Explanation:
Given:
R1 = 21 Ω
The connection is parallel
Since all 3 of the resistors have the same resistance, we can use this formula to find the total resistance of the circuit:
R = R1/n (R1 is the resistance of one resistor and n is the number of resistors)
R = 21/3 = 7 Ω
If you shake one end of a rope up and down , a wave passes through the rope. Which type of wave is it?
Answers
Answer: a transverse wave
Explanation:
Answer:
a transverse wave
Explanation:
I think
The diagram below shows a wave with its wavelength indicated in red.
wavelength
What will happen to the wave's frequency if its wavelength is made twice as long?
A. It will stay the same.
B. It will go to zero
C. It will double.
D. It will decrease
Answers
Answer:
answer is D.it will decrease
Answer:
D. It will decrease
Explanation: Study island ;)
If the spectrometer had been set to a different wavelength to measure absorbances (one where the copper would have absorbed more or less light), how would that have changed the results?
Answers
If the spectrometer had been set to a different wavelength to measure absorbances (If the spectrometer had been set to a different wavelength to measure absorbances) then the calculated unknown concentration should same.
Absorbance is directly proportional to the concentration of the substance.
higher concentration gives higher absorbance because the light absorbed is affected by the interacted no. of molecules.
Spectrometer - An instrument used to measure wavelength of spectra over a wide range.
types of spectrometer
emission absorptionIf the spectrometer had been set to a different wavelength to measure absorbances (If the spectrometer had been set to a different wavelength to measure absorbances) then the calculated unknown concentration should same.
To know more about spectrometer
https://brainly.com/question/15165370
#SPJ4
What is your example of a physical change?
Answers
Answer:
ductility
Explanation
flattening of a metal to form a sheet
when a pitcher throws a curve ball, the ball is given a fairly rapid spin. if a 0.15-kg baseball with a radius of 3.7 cm is thrown with a linear speed of 48 m>s and an angular speed of 42 rad>s, how much of its kinetic energy is translational and how much is rotational? assume the ball is a uniform, solid sphere.
Answers
The amοunt οf kinetic energy that is translatiοnal is apprοximately 172.8 J, and the amοunt that is rοtatiοnal is apprοximately 8.733 J.
How tο determine the amοunt οf kinetic energy?Tο determine the amοunt οf kinetic energy that is translatiοnal and rοtatiοnal, we need tο calculate the respective cοntributiοns.
The translatiοnal kinetic energy (\(\rm K_{trans\)) οf a rοlling sphere is given by the equatiοn:
\(\rm K_{trans\) = (1/2) * m * v²
where m is the mass οf the ball and v is the linear speed.
Given:
Mass οf the baseball (m) = 0.15 kg
Linear speed (v) = 48 m/s
Substituting the values intο the equatiοn, we can calculate the translatiοnal kinetic energy:
\(\rm K_{trans\) = (1/2) * 0.15 kg * (48 m/s)²
= 0.15 kg * 1152 m²/s²
= 172.8 J
The rοtatiοnal kinetic energy (\(\rm K_{rot\)) οf a rοlling sphere is given by the equatiοn:
\(\rm K_{rot\) = (1/2) * I * ω²
where I is the mοment οf inertia οf the sphere and ω is the angular speed.
Fοr a sοlid sphere, the mοment οf inertia is given by:
I = (2/5) * m * r²
where r is the radius οf the ball.
Given:
Radius (r) = 3.7 cm = 0.037 m
Angular speed (ω) = 42 rad/s
Substituting the values intο the equatiοn, we can calculate the rοtatiοnal kinetic energy:
I = (2/5) * 0.15 kg * (0.037 m)²
= 0.00277 kg * m²
K_rοt = (1/2) * 0.00277 kg * m² * (42 rad/s)²
= 0.00277 kg * m² * 1764 rad²/s²
= 8.733 J
Therefοre, the amοunt οf kinetic energy that is translatiοnal is apprοximately 172.8 J, and the amοunt that is rοtatiοnal is apprοximately 8.733 J.
Learn more about kinetic energy
https://brainly.com/question/999862
#SPJ4
2. A go-cart travels once around a circular track with a radius of 200m. What is its
displacement?
A)200 m
B)1256.64 m
C)100 m
D)0 m
Answers
Answer:
ggggggg
Explanation:
Fill in the blank: Friction applies to all states of matter in the gas state it is called ________ resistance and in a liquid it's called ___________ resistance. Air resistance can be used to slow the fall of an object. Parachutes are usually made out of light, strong fabric, originally silk, now most commonly nylon. They are typically dome-shaped, but vary, with rectangles, inverted domes, and others found
Answers
Answer:
Drag; water.
Explanation:
Friction can be defined as a force that resists the relative motion of two objects when there surface comes in contact. Thus, it prevents two surface from easily sliding over or slipping across one another. Also, friction usually reduces the efficiency and mechanical advantage of machines but can be reduced through lubrication.
Generally, there are four (4) main types of friction and these includes;
I. Static friction.
II. Rolling friction.
III. Sliding friction.
IV. Fluid friction.
Fluid friction can be defined as a type of friction that acts on physical objects moving through a liquid or gas. A fluid refers to any physical substance that can flow and is able to take the shape of a container.
In science, matter can be defined as anything that has mass and occupies space. Any physical object that is found on earth is typically composed of matter. Matter are known to be made up of atoms and as a result has the property of existing in states.
Basically, matter exists in three (3) distinct or classical phases and these are; solid, liquid and gas.
Generally, friction applies to all states of matter; in the gaseous state, it is called drag resistance and in a liquid it's called water resistance.