Answer: Astronomers discovered the relationship by measuring the masses of main sequence stars in binary systems.
Explanation:
A ball is fired from a cannon at point 1 and follows the trajectory shown in the figure below. Air
resistance may be neglected. Five possible vectors are also shown in the figure; the letter E represents
the zero vector.
D
E:
C
B
a
Which vector best represents the ball's velocity at position 2?
Which vector best represents the ball's acceleration at point 2?
Which vector best represents the ball's velocity at position 3?
Which vector best represents the ball's acceleration at point 3?
du
b)
A
d)
In trajectory, acceleration vector is not the same with the velocity vector but it depends on the change in velocity. The acceleration path is perpendicular to the velocity vector path. The Correct answers are:
a.) D
b.) B
c.) C
d.) A
A Vector is a quantity that has both magnitude and direction.
Given that a ball is fired from a cannon at point 1 and follows the trajectory shown in the figure.
a.) The vector best represents the ball's velocity at position 2 is D
b.) The vector best represents the ball's acceleration at point 2 is B
c.) Which vector best represents the ball's velocity at position 3 = C
d.) Which vector best represents the ball's acceleration at point = A
In trajectory, acceleration vector is not the same with the velocity vector but depends on the change in velocity. The acceleration path is perpendicular to the velocity vector path.
At point 3, since the ball path is parabolic, the velocity at that point is not equal to zero but will tend to take a horizontal path.
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A 9. 0 cm object is 3. 0 cm from a lens, which has a focal length of –12. 0 cm. What is the distance of the image from the lens? cm What is the height of the image? cm What type of lens created this image?.
The image formed is 2.4 cm from the lens
The height of the image is 7.2 cm.
This shows that the image is upright.
The lens used is a concave lens.
The height of the object, (h) is 9 cm
Object distance from the lens (u) is 3 cm
The focal length (f) of the lens is -12 cm
we have to find the image distance (v) from the lens and magnification factor.
"what mirror formula and what is the magnification?"Suppose an object is placed u cm in front of a spherical mirror of focal length f such that the image is formed v cm from the mirror, then u, v, and f are related by the equation;
Magnification of a lens is defined as the ratio of the height of an image to the height of an object.
It is also given in terms of image distance and object distance.
It is equal to the ratio of image distance to that of object distance.
Using mirror's formula
1/f= 1/u + 1/v
1/(-12) = 1/(3) +1/(v)
1/(v) = (-5)/12
v = -2.4 cm
The image formed is 2.4 cm from the lens.
Magnification (m) = \(\\\dfrac{Height \ of Image (h') }{Height\ of\ Object (h) }\)
\(Magnification\ (m) =\dfrac{-v}{u}\)
\(h' =\dfrac{(-v)(h)}{u}\)
\(h' =\dfrac{(-(-2.4))(9)}{3}\)
h' = 7.2 cm
The height of the image is 7.2 cm. This shows that the image is upright.
The lens used is a concave lens.
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when a transition metal atom formas an ion which electrons are lost first
In general, transition metals lose their valence electrons first when forming ions. However, the specific electrons lost can depend on the particular transition metal and its electronic configuration.
Transition metals are elements in the d-block of the periodic table and have partially filled d orbitals. When forming ions, they typically lose their valence electrons, which are the electrons in the outermost shell. These electrons are lost first because they have the highest energy and are therefore the easiest to remove.
However, the specific electrons that are lost can depend on the particular transition metal and its electronic configuration. For example, in the case of copper (Cu), the electron configuration is [Ar] 3d10 4s1, and it is more energetically favorable for the 4s electron to be lost before the 3d electrons.
Overall, the order in which electrons are lost during ion formation for transition metals depends on the electronic configuration and energy levels of the atoms involved.
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The lawnmower weights 300N, what is total down force on the ground
An airplane flies with a constant speed of 560 miles per hour. How long will it take to travel a distance of 840 miles?
Answer:
t = 1.5 hours
Explanation:
Given that,
Speed of an airplane, v = 560 miles per hour
Distance, d = 840 miles
We need to find the time taken to cover a distance of 840 miles.
\(v=\drac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{840}{560}\\\\t=1.5\ h\)
So, the required time is 1.5 hours.
An electron (me = 9.1 x 10-31 kg) traveling south at a constant speed of 5.0 x 106 m/s enters a
region where the downward component of earth's magnetic field is 3.5 x 10-5 T. What is the
magnitude and direction of the acceleration of the electron at this instant?
Answer:
F = Q V X B
V X B = south X downard = East - deflection is West
Since Q is negative the deflection = West
a = F / m = Q V B / m
a = 1.6E-19 * 5*E6 * 3.5E-5 / 9.1E-31
a = 1.6 * 5 * 3.5 / 9.1 * 10^13 m/s^2 = 3.1 * 10^13 m/s^2
suppose we are in the middle of a slowly melting block of ice. as we add a little more thermal energy, what happens to the temperature of the ice?
Adding more thermal energy to a slowly melting block of ice will cause the temperature of the ice to remain constant until it has completely melted. Once the ice has completely melted, the temperature of the liquid water will start to rise.
As we add a little more thermal energy to a slowly melting block of ice, the temperature of the ice will remain constant at 0°C until all of the ice has melted. This is because the added thermal energy is being used to break the bonds between the water molecules in the ice, causing it to change from a solid to a liquid.
Once all of the ice has melted, any additional thermal energy will cause the temperature of the water to increase. This process is known as latent heat of fusion, which is the amount of energy required to change a substance from a solid to a liquid at a constant temperature.
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In the diagram below, a 10-kilogram ball is fired with a
velocity of 500 meters per second from a 1,000 kilogram
cannon. What is the recoil velocity of the cannon?
A. 5 m/s
B. B) 2 m/s
C. C) 10 m/s
D. D) 500 m/s
Answer:
A) 5m/s
Explanation:
Momentum of ball in one direction=momentum of cannon in other direction
mv = mv
(10)(500)=(1000)v
5000=1000v
∴v=5m/s
When a ball is fired with a velocity its momentum remains conserved. The recoil velocity of the cannon is 5m/s.
The velocity with which the cannon is pushed backwards after firing is called the recoil velocity.
The momentum remains conserved . So, according to the momentum conservation principle, initial momentum is equal to the final momentum.
Mu +mu=Mv +mv
where, M is the mass of cannon and m is the mass of ball.
u is the initial velocity and v is the final velocity.
10 kg ball is fired with a velocity of 500 meters per second from a 1,000 kg cannon.
mu = Mv
(10)(500)=(1000)v
5000=1000v
v=5m/s
Thus, the recoil velocity of the cannon is 5 m/s.
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Two flying fish have an inelastic collision while in mid-flight. One fish has a mass of 0. 650 kg and a velocity of 15. 0 m/s to the right; the other has a mass of 0. 950 kg and a velocity of 13. 5 m/s to the left. Find the change in their kinetic energy after the collision
The change of kinetic energy is -156.7 joules.
\(V1_{i}\) =15
\(V2_{i}\)= -13.5(as towards left)
V= common velocity during collision
On applying momentum conservation during the collision
\(m_{1}V1_{i} + m_{2}V2_{i} = V ( m_{1} + m_{2})\)
\(0.650 \ 15 + 0.950 \ (-13.5) = (0.625 + 0.950) \ V\)
\(\frac{3.075}{1.6}\) =V
V= -1.92 m/s
To kind change in kinetic energy we will subtract final and initial kinetic energy
ΔK=\(\frac{1\ (m_{1} + m_{2} ) \ V}{2} ^{2}\) - \(\frac{1\ (m_{1} ) \ V1_{i} }{2} ^{2}\) - \(\frac{1\ (m_{2} ) \ V2_{i} }{2} ^{2}\)
ΔK= \(\frac{1\ (0.625 + 0.950 ) \ (-13.5)}{2} ^{2}\) - \(\frac{1\ (0.625 ) \ 15 }{2} ^{2}\)- \(\frac{1\ (0.950 ) \ 13.5 }{2} ^{2}\)
ΔK= = - 156.7 J
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Calculate the acceleration of a turtle going from 0.3 m/s to 0.7 m/s in 30 seconds.
\(\\ \sf\longmapsto Acceleration=\dfrac{v-u}{t}\)
\(\\ \sf\longmapsto Acceleration=\dfrac{0.7-0.3}{30}\)
\(\\ \sf\longmapsto Acceleration=\dfrac{0.4}{30}\)
\(\\ \sf\longmapsto Acceleration=0.01m/s^2\)
A bowling ball is dropped from the top of a building that has a height of h = 159 m.a) Assuming air resistance is negligible, what is the ball's speed, vf in m/s, when it strikes the ground? b) If drag produces an opposing force of 10 N while the ball's falling, what is the ball's speed, vf in m/s, when it strikes the ground? Assume the ball has a mass of 5 kg.c) A different ball was dropped and the final speed was measured to be vf = 6.5 m/s while the drag force was measured to be 50 Newtons. What is the mass of this ball in kg?
ANSWER:
a) 55.82 m/s
b) 49.8 m/s
c) 5.17 kg
STEP-BY-STEP EXPLANATION:
Given:
Height (h) = 159 m
Initial speed (vi) = 0 m/s
a)
We calculate the final speed using the following formula:
\(\begin{gathered} (v_f)^2=(v_i)^2+2gh \\ \\ \text{ we replacing:} \\ \\ (v_f)^2=(0)^2+2(9.8)(159) \\ \\ v_f=\sqrt{3116.4} \\ \\ v_f=55.82\text{ m/s} \end{gathered}\)\(\begin{gathered} (v_f)^2=(v_i)^2+2gh \\ \\ \text{ we replacing:} \\ \\ (v_f)^2=(0)^2+2(9.8)(159) \\ \\ v_f=\sqrt{3116.4} \\ \\ v_f=55.82\text{ m/s} \end{gathered}\)b)
To determine the final velocity with the opposing force, we have to determine the net force and then calculate the acceleration that would be used to calculate the velocity, like this:
\(\begin{gathered} F_n=mg-10 \\ \\ \text{ we replacing} \\ \\ F_n=5\cdot9.8-10 \\ \\ F_n=49-10=39\text{ N} \\ \\ F=m\cdot a \\ \\ a=\frac{F}{m}=\frac{39}{5} \\ \\ a=7.8\text{ m/s^^b2} \\ \\ \text{ Therefore:} \\ \\ (v_f)^2=(v_i)^2+2ah \\ \\ \text{ we replacing:} \\ \\ (v_f)^2=(0)^2+2(7.8)(159) \\ \\ v_f=\sqrt{2480.4} \\ \\ v_f=49.8\text{ m/s} \end{gathered}\)c)
We can calculate the mass in the following way, first, we must calculate the acceleration to be able to determine the mass:
\(\begin{gathered} (v_{f})^{2}=(v_{i})^{2}+2ah \\ \\ \text{ we replacing:} \\ \\ 6.5^2=0^2+2\cdot a\cdot(159) \\ \\ 318a=42.25 \\ \\ a=\frac{42.25}{318} \\ \\ a=0.133\text{ m/s^^b2} \\ \\ \text{ Now we can calculate the mass using the force balance:} \\ \\ ma=mg-50 \\ \\ a=g-\frac{50}{m} \\ \\ \text{ we replacing:} \\ \\ 0.133=9.8-\frac{50}{m} \\ \\ 1.333-9.8=-\frac{50}{m} \\ \\ -9.667m=-50 \\ \\ m=\frac{-50}{-9.667} \\ \\ m=5.17\text{ kg} \end{gathered}\)If the frequency of a wave is
20
H
z
, what is the period of the wave?
suppose a biased coin that comes up with heads with probability 0.2 is flipped n times. use the markov inequality to bound the probability that we get at least 80% heads on the n tosses.
This means that the probability of getting less than 80% heads is at least 0.75.
To solve this problem, we can use Markov's inequality which states that for any non-negative random variable X and any a>0, the probability that X is at least a is bounded by E(X)/a.
In this case, our random variable X is the number of heads that come up in n tosses of the biased coin. Since the probability of getting a head is 0.2, we know that the expected number of heads is 0.2n.
To bound the probability of getting at least 80% heads, we want to find the probability that X is at least 0.8n. Using Markov's inequality, we have:
P(X >= 0.8n) <= E(X) / (0.8n)
Substituting in our values, we get:
P(X >= 0.8n) <= 0.2n / (0.8n)
P(X >= 0.8n) <= 0.25
So the probability of getting at least 80% heads on n tosses of a biased coin that comes up with heads with probability 0.2 is bounded by 0.25.
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A certain physical quantity, P is calculated using formula P=5AB(B-C)2, what will be the SI
unit and the value of P? Consider your A in kg and B and C are in m/s.
A=85
B=95
C=195
\(P=5AB(B-C)² where A = 85 kg, B = 95 m/s, C = 195 m/s\)To find the SI unit of P, we need to substitute the values of A, B, and C in the given equation.
\(P=5AB(B-C)² , P = 5 × 85 kg × (95 m/s – 195 m/s)²= 5 × 85 kg × (–100 m/s)²= 5 × 85 kg × (10,000 m²/s²)= 4,250,000 kg.m²/s²The SI unit of P is kg.m²/s².\)
To find the value of P, we can substitute the values of A, B, and C in the given equation
\(P=5AB(B-C)²P = 5 × 85 kg × (95 m/s – 195 m/s)²= 5 × 85 kg × (–100 m/s)²= 5 × 85 kg × 10,000 m²/s²= 4,250,000 kg.m²/s² , the value of P is 4,250,000 kg.m²/s².\)
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Which of the following statements about autonomy-granting in adolescence is true?
a) Boys are given more independence than girls.
b) Girls and boys are given equal autonomy during adolescence.
c) Girls are given more independence than boys.
d) Girls and boys are hardly given any autonomy during adolescence.
Of the following statements about autonomy-granting in adolescence is option A) Boys are given more independence than girls is true
Autonomy-granting in adolescence refers to the level of independence and decision-making opportunities given to individuals during this developmental stage. While there may be variations in cultural, familial, or individual circumstances, the general trend is towards granting increasing autonomy to adolescents regardless of their gender. During adolescence, individuals typically experience a growing sense of personal identity and the need for independence.
Modern approaches to parenting and societal norms recognize the importance of fostering autonomy and self-reliance in both girls and boys. Parents and caregivers often strive to strike a balance between providing support and guidance while gradually allowing adolescents to make their own decisions and take responsibility for their actions.
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11. In the original Ghostbusters, when asked by Dr. Peter Venkman what would happen if they crossed the streams from their proton packs, Dr. Egon Spengler responded, "It would be bad." The same thing could reasonably be said about _________ Specifically, the reason for this is due to violation of the assumption of _____________
The same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
Let us understand what these terms mean:
MulticollinearityIn statistical analysis, multicollinearity is the high correlation among predictors in a regression model. It is problematic because of its adverse effects on the model, including making it difficult to determine the effect of an independent variable, coefficients becoming insensitive to small changes in the model, and reducing the reliability of the model.
Independent PredictorsIn regression analysis, independent predictors are those variables that contribute to the prediction of the dependent variable or outcome, and their inclusion in the model improves the accuracy of the prediction of the model.
In a regression model, it is an assumption that predictors are independent, which means that the predictors have little to no correlation with each other. If this assumption is violated, it is known as multicollinearity.
Therefore, the same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
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Find the direction of the sum of
these two vectors:
The half life of phosphorus-33 is 25 days. After 50
days, What is the original sample size if 10 g
remain?
The half-life of a first-order reaction is a constant that is related to the rate constant for the reaction: t1/2 = 0.693/k.
What is phosphorus-33?It is used in life-science laboratories in applications in which lower energy beta emissions are advantageous such as DNA sequencing. P can be used to label nucleotides. It is less energetic than 32P, giving a better resolution.
Phosphorus 33 is an artificial radioactive element. It is produced with a low yield by the neutron bombardment of phosphorus 31 (stable). The phosphorus 33 has a radioactive period of 25.3 days.
Phosphorus-33 atom is the radioactive isotope of phosphorus with relative atomic mass 32.971725, half-life of 25.34 days and nuclear spin (1)/2.
Phosphorus was discovered by the German merchant Hennig Brand in 1669.
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A
heat engine is measured to have 30% efficiency. Is the theoretical
efficiency going to be greater or less than that? Why?
The theoretical efficiency is greater than that of the actual efficiency of the engine. This is because heat engine always produces some waste heat.
The Second Law of Thermodynamics states that a heat engine cannot be 100% efficient. In practice, a heat engine is only 100% efficient when it is operating at about 30-50% efficiency.
If we were to multiply this by 100, we would get the efficiency as a percent: 49%. This is the theoretical maximum efficiency. If we were to actually build an engine, it would be less efficient than the theoretical engine. The theoretical engine that can achieve this theoretical maximum efficiency is called the Carnot Engine.
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energy conservation of radio
The functioning of a radio obeys the energy conservation principle, the energy is conserved throughout the process of transmitting sound waves.
Radio is a device that receives and broadcasts electromagnetic waves in the radio frequency (RF) range. The energy conservation principle states that energy can neither be created nor destroyed, but it can be converted from one form to another. This principle applies to the functioning of a radio, where the energy is conserved throughout the process.
When a radio receives a signal, it converts the electromagnetic wave energy into an electrical signal using an antenna. The electrical signal is then amplified and demodulated to extract the original audio signal. The audio signal is then amplified again and played through a speaker, where the electrical energy is converted into sound energy. The energy that was originally present in the electromagnetic wave is conserved throughout this process and is not lost.
Similarly, when a radio broadcasts a signal, the audio signal is first converted into an electrical signal, which is then amplified and used to modulate an RF carrier wave. The modulated RF wave is then transmitted through an antenna as electromagnetic waves. The electrical energy from the audio signal is conserved and transformed into electromagnetic energy in the transmitted signal.
In both cases, the energy conservation principle is applied, and the energy is conserved throughout the process. Therefore, the functioning of a radio obeys the energy conservation principle.
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A typical age for a sample from the surface of the Moon is
about
Group of answer choices
30
Myrs old
3
Myrs old
3
Byrs old
30
Byrs old
The typical age of a sample from the surface of the Moon is about 3.0 billion years old, according to the information gathered by scientists from the Apollo missions.
A typical age for a sample from the surface of the Moon is about 3.0 Byrs old. Moon rocks and soil samples provide us with the age of the Moon and details of its origin. The Moon formed about 4.5 billion years ago, around the same time as the Earth, from debris created by a collision between the Earth and a Mars-sized object. Samples from the Apollo missions provided scientists with the means to determine the age of the Moon and its history. Moon rocks are dated using radiometric dating techniques. Scientists have used the ratio of uranium-238 to lead-206 in these rocks to determine their age. The oldest Moon rocks collected during the Apollo missions are about 4.4 billion years old. However, a typical age for a sample from the surface of the Moon is about 3.0 billion years old.For more such questions on the Moon, click on:
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The correct question would be as
A typical age for a sample from the surface of the Moon is about
Group of answer choices
30 Myrs old
3 Myrs old
3 Byrs old
30 Byrs old
An electrical circuit is a portable device that converts chemical energy into electrical energy
True or false
Answer:
false a curciut is just a loop of electricity goes in and negative comes out when using a battery the negative goes in and the goes out making a battery have two sides to a uircute.
hope this helps!
Explanation:
how can you justifies the age of earth being 4.5 billion years old
Answer:
ummmmmmmmmm through science??
Help meeee
Cody is riding the Super Duper Drop at Six Flags. The ride drops him and he free falls
for 2.6 seconds.
a) What will be his final velocity at the end of the 2.6 seconds?
His final velocity at the end of the 2.6 seconds will be 25.48 m/s
given
time = 2.6 seconds
initial velocity = u = 0
acceleration = acceleration due to gravity = 9.8 \(m/s^{2}\) (since , it is a free fall )
final velocity = ?
using kinematics equation
v = u + at
v = u - g*t
v = - 9.8 * 2.6 = - 25.48 m/s
His final velocity at the end of the 2.6 seconds will be 25.48 m/s in downward direction
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If the student repeated the experiment by replacing the water in the calorimetry device with an ice bath at 0°C, how would the experimental results differ?
If the student replaced the water in the calorimetry device with an ice bath at 0°C, the experimental results would differ in several ways:
Temperature Change: Instead of measuring the change in temperature of the water, the student would measure the change in temperature of the ice bath. As heat is transferred from the surroundings to the ice bath, the ice will melt and the temperature of the ice bath will increase until it reaches 0°C. The temperature change observed in the experiment would be different from that of the water bath.
Heat Capacity: The heat capacity of the ice bath would be different from that of the water bath. Ice has a lower heat capacity than water, meaning it requires less heat energy to raise its temperature. This would affect the amount of heat absorbed or released during the reaction and lead to different experimental results.
Enthalpy Change: The enthalpy change calculated from the experiment would be specific to the reaction being studied. However, the enthalpy change determined using an ice bath would be based on the heat exchange with the ice bath, rather than the water bath. The enthalpy change values would differ due to the different heat capacities and temperature changes involved.
Overall, using an ice bath instead of a water bath would result in different temperature changes, heat capacities, and enthalpy change values in the experimental results.
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Calculate the acceleration if you push with a 6 N horizontal force on a 8 kg block on a
horizontal friction free air table.
Which of these describes a real image?
why is a polarized filter helpful to a photographer? A. it transmits all light
Answer:
It blocks some light, but not all.
Explanation:
The point of polarization is to get the light to travel in a single plane. The light waves occur in a single plane. The direction of the vibration of the waves is the same. With two polarized filters, it is possible to block out nearly all the light.
what is the maximum mass that can hang without sinking from a 50.0- cm -diameter styrofoam sphere in water? assume the volume of the mass is negligible compared to that of the sphere.
One form of StyrofoamTM product, commonly used in craft projects, is Styrofoam balls. The spherical polystyrene foam objects known as Styrofoam balls range in diameter from one inch (2.54 cm) to eight inches (20.3 cm). The uses for Styrofoam balls in crafts are incredibly diverse.
Calculating the ball's volume using
V = 4/3 * pi * r3
r = 10 cm = 0.10 m.
V = 0.00418 m^3
The mass of the water with a volume of 0.0446 m3 is equal to m =??
V = 0.00418 m3,
and d = 1000 kg/m3.
m=V*dm=0.00418*1000=4.18 kg
then determining the styrofoam ball's mass.
V = 0.00418 m3
d = 32 kg per m3, which equals m = 0.00418 * 32 m = 0.1337 kg.
Finding the necessary mass to place on the ball's surface.
The distinction is what you'll need to put on the ball.
4.18 - 0.1337 = 4.046 kg ans.
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Which model of the atom has electrons traveling in specific paths around the nucleus? Bohr's model Rutherford's model Thomson's model Dalton's model
Answer:
A, Bohr's model
Explanation:
Took the quiz, hope it's right for you.
(The other three did have something to do with it they just didn't create that specific model)
The model of the atom that has electrons traveling in specific paths around the nucleus is Rutherford's model.
Therefore, the correct answer is option B
J. J Thomson proposed that the atom is a sphere of positively charged matter in which negatively charged electron are embedded.
In Rutherford's model of atomic structure, the electrons moves in orbits by electrostatic attraction to the positively charged nucleus.
According to Dalton's atomic theory, atom were indestructible and indivisible solid particle.
Bohr's model made assumption that electron can only exist in circular orbits of definite quantum energy.
According to the question, the model of the atom that has electrons traveling in specific paths around the nucleus is Rutherford's model.
Therefore, the correct answer is option B
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