The left end of a long glass rod 9.00 cm in diameter, with an index of refraction 1.61, is ground and polished to a convex hemispherical surface with a radius of 4.50 cm. An object in the form of an arrow 1.55 mm tall, at right angles to the axis of the rod, is located on the axis 24.0 cm to the left of the vertex of the convex surface.(a) Find the position of the image of the arrow formed by paraxial rays incident on the convex surface.(b) Find the height of the image formed by paraxial rays incident on the convex surface.(c) Is the image erect or inverted?
Answers
Answer:
a) 17.15cm
b)0.687mm
c)erect
Explanation:
Given:
Diameter = 9.00 cm
\(n_{1}\) for air =1
Index of refraction n₂= 1.61
Radius of curvature R= 4.50
Height of object h₀= 1.55 mm
Object distance u= 24.0 cm
(A)In order to calculate the image distance , we use formula for image of distance
\(\dfrac{n_{1}}{u}+\dfrac{n_{2}}{v}=\dfrac{n_{2}-n_{1}}{R}\)
By plugging in all the required values
\(\dfrac{1}{24.0}+\dfrac{1.61}{v}=\dfrac{1.61-1}{4.50}\)
\(\dfrac{1.61}{v}=\dfrac{1.61-1}{4.50}-\dfrac{1}{24.0}\)
\(\dfrac{1.61 }{v}=\dfrac{169}{1800}\)
\(v=\dfrac{1.61\times1800}{169}\)
\(v=17.15\ cm\)
(B). In order to calculate the height of the image , we'll use formula of magnification
\(m=\dfrac{h_{i}}{h_{o}}\dfrac{h_{i}}{h_{o}}=\dfrac{n_{1}d_{1}}{n_{2}d_{o}}\)
By substituting all the required values, we get
\(\dfrac{h_{i}}{1.55}=\dfrac{1\times17.15}{1.61\times24.0}\)
\(h_{i}=\dfrac{1\times17.15\times1.55}{1.61\times 24.0}\\h_{i}=0.687\ mm\)
c) The image is erect as it is of (+)ve sign.
Related Questions
Why is the mass of an atom's electrons not included in the atom's mass number?
A. The electrons move so fast that their mass cannot be measured.
B. The electrons' negative charge cancels out their masses.
C. The electrons' mass is represented in the atomic number.
D. The electrons are much less massive than the rest of the atom.
Answers
Answer: A: the electrons move so fast that their mass cannot be measured
Explanation: because they are so fast scientist and other people cannot measure them
Answer:
A
Explanation:
Relate the temperature of a gas to the kinetic energy of its particles.
Answers
Answer:
See the attachment above !!! Mark as brainliest ..!!
PLEASE HELP ME I DONT UNDERSTAND THIS AND THIS IS TIMED
In an experiment, a rubber stopper is attached to one end of a string. The stopper is whirled in a horizontal circular path of a diameter of 1.0 meter at a constant speed. The stopper completes one revolution in 0.2 seconds. Approximately what is the magnitude of the stoppers speed?
A) 3.1 m/s
B) 6.3 m/s
C) 16 m/s
D) 31 m/s
Answers
(C)
Explanation:
The circle has a radius r = 0.5 m, which means that its circumference C is
\(C = 2\pi r = 2\pi(0.5\:\text{m}) = 3.14\:\text{m}\)
One revolution means that the stopper travels a distance equal to the circumference of the circle so the velocity of the stopper is
\(v = \dfrac{C}{t} =\dfrac{3.14\:\text{m}}{0.2\:\text{s}} = 15.7\:\text{m/s} \approx 16\:\text{m/s}\)
A cathode ray tube (CRT), such as those found in old-fashioned TV screens, accelerates electrons toward a screen. The electron collision with the screen emits photons. In this problem assume all of the electron kinetic energy is converted to light energy. What is the minimum wavelength of photons produced in a CRT using a 25.0-kV accelerating potential? Hint: this is a conservation of energy problem involving electrical potential energy.
Answers
The minimum wavelength of photons produced in a CRT using a 25.0-kV accelerating potential is 4.96 x 10⁻¹¹ m.
What is the minimum wavelength of photons?
The minimum wavelength of photons produced in a CRT using a 25.0-kV accelerating potential is determined by applying the principle of conservation of energy as shown below.
Energy of the CRT = energy of the photons
qV = hf
qV = hc/λ
λ = hc/qV
where;
h is Planck's constantc is speed of lightq is the charge of electronV is the potential of the cathode ray tubeλ is the minimum wavelength of the electronThe minimum wavelength of the photon is calculated as follows;
λ = hc/qV
λ = (6.626 x 10⁻³⁴ x 3 x 10⁸) / (1.602 x 10⁻¹⁹ x 25,000)
λ = 4.96 x 10⁻¹¹ m
Thus, the minimum wavelength of the photon depends on the accelerating potential of the cathode ray tube (CRT).
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What are the magnitude and the direction of the electric field that will allow an electron to fall with an acceleration of 4.3 m/s2?
Answers
Answer:
Explanation:
The acceleration of an electron in an electric field is given by the equation:
a = qE/m
where a is the acceleration, q is the charge of the electron, E is the electric field, and m is the mass of the electron.
Given that the acceleration of the electron is 4.3 m/s^2, and the mass of the electron is 9.11 × 10^-31 kg, and the charge of the electron is -1.6 × 10^-19 C, we can solve for the electric field E:
E = ma/q
E = (4.3 m/s^2) × (9.11 × 10^-31 kg) / (-1.6 × 10^-19 C)
E = -2.44 × 10^4 N/C
The negative sign indicates that the direction of the electric field is opposite to the direction of the electron's motion. Therefore, the magnitude of the electric field required to accelerate an electron with an acceleration of 4.3 m/s^2 is 2.44 × 10^4 N/C and the direction is opposite to the direction of motion of the electron.
Enter the following expression in the answer box below: 2gλ3m−−−−√, where λ is the lowercase Greek letter lambda.
Answers
Answer:
\(\sqrt{\dfrac{2g\lambda^3}{m}}\)
Explanation:
We can write the expression here, but the point of the problem seems to be to see if you can manipulate the controls on the answer box to reproduce that expression.
\(\boxed{\sqrt{\dfrac{2g\lambda^3}{m}}}\)
What real-world examples show not work being done? Can you think of examples other than resisting the force of gravity?
Answers
Answer:
Work is defined as a force doing a movement, for example, if with a force F we move an object a distance D, the work done is:
W = F*D
(note, the force is causing the movement, the product here is a dot product, this means that if the force and the displacement are perpendiculars, the product is zero)
So the examples where there are not work being done may be:
We do not have any movement:
For example, you can go to a wall in your house and push it really hard.
There is a force, but the wall will not move, so we have D = 0
and W = F*D = F*0 = 0
Because we have no motion.
Another case is where the force and the direction of motion are perpendiculars.
If we have for example a car, moving at a constant speed, and you push it sidewise (perpendicular to the direction of movement) we have a force being applied and movement, but those are in different directions (so the force does not cause the movement) so we dont have work being done.
Which measure does not change when a wave moves from one medium to another?
O amplitude
O speed
O wavelength
O frequency
Answers
The correct option O frequency. Waves change in amplitude, wavelength, velocity, and intensity as they go through different media, but not in frequency.
Explain about the frequency of the wave?The waves that must pass through a medium like air or water are referred to as mechanical waves.
Some kinds of waves, like electromagnetic waves, can go through solid objects and a vacuum. Frequency and wavelength are two of the different characteristics of waves that serve to explain their motion and energy.The quantity of waves which pass a spot in a predetermined amount of time is known as a wave's frequency. The quantity of waves which pass through a spot in a second is another way to define frequency. A wave's frequency will be higher for faster-moving waves than for slower-moving waves. By dividing its wave speed (v) even by wavelength (λ), the frequency formula is calculated.Thus, waves change in amplitude, wavelength, velocity, and intensity as they go through different media, but not in frequency.
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Answer:
(Question) Which measure does not change when a wave moves from one medium to another?
(Answer) frequency
(Question) Water waves approaching the shore will slow down. Which statement describes another change that occurs?
(Answer) The wavelength decreases.
(Question) As a wave travels from one medium to another, its wavelength triples. Which statement describes the speed and frequency in the new medium?
(Answer) The speed will triple, and the frequency will stay the same.
(Question) Sonar systems used in water send out sound waves that reflect off the environment and then are detected. As water gets denser, the speed of sound in water increases. What would happen to the wavelength of a sonar wave as it moves into water with a 5% higher speed of sound?
(Answer) The wavelength would increase by 5%.
(Question) An earthquake sends seismic waves outward from the epicenter. The waves travel through different media in different directions. What will be true for all people who feel the earth shaking?
(Answer) The earth will rise and fall with the same frequency.
Explanation:
I just did the quick check
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The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
Answers
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
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A substance of mass 200g measures 50cm*4cm*8cm. Calculate it density giving your answer in SI unit
Answers
Answer:
0.2kg/0.0016m^3
Explanation:
200g is 0.2 kg
50*4*8 is equivalent to 1600 cubic centimeters which is also equivalent to 0.0016 cubic meters.
The SI unit for density is kg per cubic meter
So now we have 0.2kg/0.0016m^3
I hoped this helped, and if it did please give me brainliest
A dynamite blast at a quarry launches a chunk of rock straight upward, and 2.0s later it is risinv at a speed of 15m/s. Assuming air resistance has no effect on the rock, calculate its speed (a) at launch and (b) 5.0s after launch
Answers
Answer:
(a) To solve for the initial speed of the rock at launch, we can use the kinematic equation:
v = v0 + at
Where:
v = final velocity (15m/s)
v0 = initial velocity (what we're solving for)
a = acceleration due to gravity (-9.8m/s^2)
t = time (2.0s)
Plugging in the values, we get:
15m/s = v0 - 9.8m/s^2 (2.0s)
v0 = 34.6m/s
Therefore, the initial speed of the rock at launch was approximately 34.6m/s.
(b) To solve for the speed of the rock 5.0s after launch, we can use the same kinematic equation:
v = v0 + at
But this time, we need to add the additional time and distance that the rock traveled after the initial 2.0s. To do this, we'll use the equation:
d = v0t + 1/2at^2
Where:
d = distance traveled
v0 = initial velocity (34.6m/s)
a = acceleration due to gravity (-9.8m/s^2)
t = time (5.0s - 2.0s = 3.0s)
Plugging in the values, we get:
d = (34.6m/s)(3.0s) + 1/2(-9.8m/s^2)(3.0s)^2
d = 103.8m - 44.1m
d = 59.7m
So, the rock traveled 59.7m in the additional 3.0s after the initial 2.0s. Now we can find its speed using the kinematic equation:
v = v0 + at
Where:
v0 = final velocity from before (15m/s)
a = acceleration due to gravity (-9.8m/s^2)
t = time (3.0s)
Plugging in the values, we get:
v = 15m/s - 9.8m/s^2 (3.0s)
v = -12.6m/s
Note that the velocity is negative because the rock is now moving downward. Therefore, the speed of the rock 5.0s after launch is approximately 12.6m/s.
The vapor pressure of liquid ethanol, C2H5OH, is 100. mm Hg at 308 K.
A sample of C2H5OH is placed in a closed, evacuated 529 mL container at a temperature of 308 K. It is found that all of the C2H5OH is in the vapor phase and that the pressure is 67.0 mm Hg. If the volume of the container is reduced to 344 mL at constant temperature, which of the following statements are correct?
Choose all that apply.
a. The pressure in the container will be 103 mm Hg.
b. Some of the vapor initially present will condense.
c. Liquid ethanol will be present.
d. Only ethanol vapor will be present.
e. No condensation will occur.
B
Answers
The statements that apply are;
The pressure in the container will be 103 mm Hg. Some of the vapor initially present will condense.Liquid ethanol will be present.What is the new pressure?We know that the pressure can be taken as the force with which the molecules of the substance are able to hit the walls of the container in this case, we need to obtain the pressure of the ethanol vapor when the volume has been reduced.
Using
P1 = initial pressure
P2 = final pressure
V 1 = initial volume
V2 = final volume
By the use of the Boyle's law we have;
P1V1 = P2V2
P2 = P1V1 /V2
P2 = 67.0 * 529/344
P2 = 103 mmHg
Thus, as the volume is reduced there would be an increase in the pressure and some of the ethanol would condense and we would have liquid ethanol in the system.
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Doing specific exercises to improve a particular skill or type of health fitness is called training? True or false
Answers
A pencil is dropped from rest from a height of 1.8 meters above the ground. How much time does it take the pencil to hit the ground?
Answers
Answer:
0.60s
Explanation:
Using the motion equation as follows:
S = ut + 1/2gt²
Where;
S = distance travelled (m)
u = initial velocity (m/s)
t = time (s)
g = acceleration due to gravity (m/s²)
Based on the information provided, S = 1.8m, u = 0m/s, t = ?
S = ut + 1/2gt²
1.8 = (0×t) + 1/2 (9.8t²)
1.8 = 0 + 4.9t²
1.8 = 4.9t²
t² = 1.8/4.9
t² = 0.3673
t = √0.3673
t = 0.6060
t = 0.60s
Convex lenses cause light rays to _____.
Answers
Answer:
to meet at a single point
(causing rays of light that are initially parallel to meet at a single point)
hope this helps:)
Explanation:
Answer:
focus
Explanation:
see more here
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The system is released from rest at θ = 0° when a constant couple moment M = 100 N.m is applied. If the mass of the cable and links AB and BC can be neglected, and each pulley can be treated as a disk having a mass of 6 kg, determine the speed of the 10-kg block at the instant link AB has rotated θ = 90°. Note that point C moves along the vertical guide. Also, the cable does not slip on the pulleys.
Answers
For a system released from rest at θ = 0° when a constant couple moment M = 100 N.m is applied, the speed of the 10-kg block is mathematically given as
V=4.33m/s
What is the speed of the 10-kg block?Generally, the equation for the workdone is mathematically given as
W=T tehta<dtheta
W=100(90*\pi/180)
W=1.5707*100
W=1.57Nm
The change in potential energy across the pulley
dP=mgh
dp=10*9.81*111.8
dp=10.97J
For the thrid position, potential energy is
dP=mg(0.3)
dP=17.658J
dP'=17.658J-13.125
dP'=-4.532J
For 2nd position dP=0
The change in Kinectic energy across the pulley\
dK.E=0.5mv^2
For 1st
dk.E=0.5m(10)^2
2nd
dK.E=0.5Iw^2
dK.E=0.5(7.5*10^-3)(v^2/0.05)^2
3rd
2nd=3rd
In conclusion,
157.07=dKE+dP.E
157.07=5v^2+ (7.5*10^-3)(v^2/0.05)^2+10.97-4.53
V=4.33m/s
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If a lightbulb uses 65 W of electricity, but only uses 45 W to become light energy and uses 20 W as heat energy, how efficient m is the light bulb?
Answers
Answer:
Explanation:
the 40-watt bulb is going to require less energy to power.
a wheelbarrow contains two simple machines-a liver and a wheel and axle. for a certain wheelbarrow , the lever has an efficiency of 72%, and the wheel and axle has an efficiency of 64%. what is the overall efficiency of the wheelbarrow?
Answers
use these expressions to find a formula for the mutual repulsive coulomb force, fcoulomb, due to like charges. this will give you a mathematical model, an equation, for fcoulomb in terms of r, l, and fgravity.
Answers
To find the formula for the mutual repulsive Coulomb force due to like charges, you can use the following equation:
Fcoulomb = (k * q1 * q2) / r²
Where k is the Coulomb constant, q1 and q2 are the charges of the two objects, and r is the distance between them.
You can also use the equation for gravitational force,
Fgravity = G * m1 * m2 / r²,
where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. This will give you an equation for Fcoulomb in terms of r, L, and Fgravity.
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cher
29. Using a scale of 1 centimeter = 1 newton, represent the following displacement vecto
(a) 5 newtons west
(b) 3 newtons, 270°
(c) 4 newtons, 0°
A box is accelerated to the left horizontally across a floor Draw a free-hody diaoram
3.0
Answers
Using a scale of 1 centimeter = 1 newton, the following displacement vector is
(a) 5 newtons west 5 centimeter.
(b) 3 newtons, 270° 3 centimeter.
(c) 4 newtons, 0°, 4 centimeter.
The International System of Units (SI) uses the centimetre (cm) as a measure of length. It is a handy unit for measuring short distances because its definition is one tenth of a metre. 0.01 metres or 0.3937 inches make up one centimetre.
In the SI system, a newton (N) is a unit of force. It is described as the amount of pressure necessary to accelerate a mass of one kilogramme at a speed of one metre per second squared (m/s2). The force required to accelerate a mass of one kilogramme by one metre per second squared is comparable to one newton, in other words.
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What will happen to the wavelength of light uf the frequency is doubled?What will happen to the wavelength of light uf the frequency is doubled?
Answers
Answer:
if the frequency is double, the wavelength is only half as long
Explanation:
Considering the definition of wavelength, frequency and propagation speed, if the wavelength is doubled, the frequency is reduced by half.
In a periodic wave the wavelength (λ) is the physical distance between two points from which the wave repeats itself. That is, the wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
The frequency (f) is a measure of the number of cycles or repetitions of the wave per unit of time. Its unit is s⁻¹ or hertz (Hz).
The wavelength and its frequency are related from the speed at which the wave travels. The propagation speed (v) is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave's disturbance propagates along its displacement. So, the speed expression is:
v=λ×f
This indicates that the higher the frequency, the shorter the wavelength and the lower the frequency, the longer the wavelength.
All electromagnetic waves propagate in a vacuum at a constant speed of 300,000,000 m/s, the speed of light. Then, since an inversely proportional relationship is established between the frequency and the wavelength, if the wavelength is doubled, the frequency is reduced by half.
In summary, if the wavelength is doubled, the frequency is reduced by half.
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brainly.com/question/2232652?referrer=searchResults brainly.com/question/7321084?referrer=searchResults brainly.com/question/14946166?referrer=searchResultswhich is not true about the particles in a plastic spoon
Answers
Answer: What are the answer options?
Explanation:
In a DC generator, the generated emf is directly proportional to the
Answers
In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.
This relationship is described by the equation for the generated emf in a DC generator:
Emf = Φ * N * A * Z / 60
Where:
Emf is the generated electromotive force (in volts),
Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),
N is the number of turns in the armature winding,
A is the effective area of the armature coil (in square meters),
Z is the total number of armature conductors, and
60 is a constant representing the conversion from seconds to minutes.
From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.
The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.
The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.
Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.
By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.
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how is intera in baseball
Answers
Answer:
Ok I guess
Explanation:
Answer:
what is intera basketball?
What would make oppositely charged objects attract each other more?
o increasing the positive charge of the positively charged object and increasing the negative charge of the negatively
charged object
o decreasing the positive charge of the positively charged object and decreasing the negative charge of the negatively
charged object
O increasing the distance between the positively charged object and the negatively charged object
O maintaining the distance between the positively charged object and the negatively charged object
Answers
Answer:
First choice
Explanation:
F orce = C q1 q2 / r^2 to increae the force you can increase either charge or DECREASE the distance between them
If the universe were to suddenly begin shrinking rather than continue expanding, how would it affect the cosmic microwave background radiation?
A. It would decrease in temperature.
B. It would blue-shift.
C. It would red-shift.
D. It would increase in temperature.
Answers
If the universe were to suddenly begin shrinking rather than continuing to expand, it would have a significant effect on the cosmic microwave background radiation (CMB).
The CMB is the afterglow of the Big Bang and is observed as a nearly uniform background radiation in all directions. It is thought to have been emitted when the universe was about 380,000 years old and had cooled enough for neutral atoms to form.
If the universe were to suddenly begin shrinking, the photons in the CMB would lose energy as they travel through the contracting space. This would cause the CMB radiation to shift to shorter wavelengths, which is known as blue-shifting.
Therefore, the correct answer is B. It would blue-shift.
A ferry with a velocity of 10.0 m/s travels from one side of the river to the other side at speed of the river water is 2.00 m/s, the resultant speed of the ferry is m/s. the boat at an angle up river so that the ferry arrives at the correct landing point. If the a point directly across. When the current is down the river, the ferry's captain directs
Answers
The actual speed of the boat as it travels across the moving river is 9.80 meters per second.
This is further explained below.
What is Pythagoras theorem.?- The boat traveled over the calm sea at a speed of 10.0 m/s.
- River water velocity, Un = 2.00 m/s
Let v be the ferry's effective speed across the water of the river such that it may go straight to the destination on the other side.
Then, as illustrated below, we may express their velocities.
The triangle ABC is a right-angled triangle, as we are aware. Consequently, we may write using the Pythagoras theorem.
\(A C^2=A B^2+B C^2\)
i.e
\(v_f^2=v^2+v_r^2\)
\(&v^2=v_f^2-v_r^2 \\\\&v=\sqrt{v_f^2-v_r^2} \\\)
\(&v=\sqrt{(10.0 \mathrm{~m} / \mathrm{s})^2-(2.00 \mathrm{~m} / \mathrm{s})^2} \\\)
v=9.80
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can a body have an east velocity while expressing westward acceleration
Answers
Yes it can, an object can be moving a certain direction while the ACCELERATION is in the opposite direction.
Lets say your riding a bike... if your squeezing your handle bar breaks, the acceleration of the bike would be pushing in the opposite direction of the direction the bike is moving.
Hope this helped!
A bird flies 5km at a speed of 30 km/h. For how long
did the bird travel?
Answers
Answer:
6 hours because 6×5=30 so 6 hours is the right answer
The neutrons within the nucleus of an atom have what charge?Question 15 options:negativesame as an electronsame as a protonno charge
Answers
The nuclues of an atom contains the proton and the nuetron. The proton is positively charged while the nuetron has no charge.