Two large aluminum plates are separated by a distance of 2.0 cm and are held at a potential difference of 150 V. An electron enters the region between them at a speed of 2.6 × 105 m/s by passing through a small hole in the negative plate and continues moving toward the positive plate. Assume the electric field between the plates is uniform.
The correct answer is V_f = 1.81 × 10^14.
D = 2cm = 0.02 m
ΔV = 150 V
V_i = 2.6 × 10^5 m/s
The coulomb force,
F = qE
ma = qE
a = qE/m
Potential difference
ΔV = ED
E = ΔV/D
a = qΔV/mD
Using equation of motion,
V_f^2 = V_i^2 + 2ad
V_f = √V_i^2 + 2ad
V_f = √V_i^2 + 2d ( qΔV/mD)
here q= 1.6 × 10^-19 C
m = 9.11 × 10^-31 kg
for d= 0.1 cm = 0.001 m
V_f = √(2.6 × 10^5)^2 + 2 (0.001)(1.6 × 10^-19 C × 150V/9.11 × 10^-31 × 0.02)
V_f = √(6.76 × 10^10) + 0.002(24× 10^-18 C)/1.822× 10^-32)
V_f = √(6.76 × 10^10) + 48 × 10^-15/1.822× 10^-32
V_f = √(6.76 × 10^10) + 26.3 × 10^17
V_f = √33.06 × 10^27
V_f = 1.81 × 10^14
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A race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 75 km/h. What is the car's centripetal acceleration in m/s2?
With the use of formula, he car's centripetal acceleration is 0.43 m/s²
What is Angular Velocity ?Angular velocity is the angle turned by a body per time taken. It is measured in radian per second. That is, rad/s
Given that a race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 75 km/h. What is the car's centripetal acceleration in m/s²
Centripetal Acceleration a = v² / r
Where
v = 75 km/h = 75/3.6 m/s = 20.83 m/sr = 1.00 Km = 1000 mSubstitute the two parameters into the equation
a = 20.83² / 1000
a = 434.03 / 1000
a = 0.43 m/s²
Therefore, the car's centripetal acceleration is 0.43 m/s²
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Now think creatively about who you might have been had you been raised by other parents. Prepare three brief descriptions of how you might have developed using any three to four styles of parenting .
by using all the four type of parenting here is the descriptive answer which include 4 types of parenting by parents.
When a child queries the justification for a regulation, authoritarian parents are infamous for responding, "Because I said so," They are more concerned with obeying than they are with negotiating. Parental authority figures may substitute punishment for instruction. So instead of instructing a child on how to make better decisions
Parents who are authoritative put time and effort into avoiding behavioral issues before they arise. Additionally, they employ positive discipline techniques like reward and praise systems to reinforce good conduct.
Parents that are liberal with their children typically act more like friends than parents. They frequently encourage their kids to talk to them about their issues, but they typically don't make an attempt to discourage poor decisions or misbehavior because they are either uninvolved parents who don't understand how kids develop, or they are unaware of it.
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A cyclist slows from 15 m/s to 3.0 m/s over a distance of 36 m. How long does this take?
It takes the cyclist 4 seconds to slow down.
Considering the acceleration is constant, we know that,
v² - u² = 2 a s
a = Δv / t
Δv = v - u
where,
v = Final velocity
u = Initial velocity
s = Displacement
Δv = Rate of change of velocity
Given that,
u = 15 m /s
v = 3 m / s
s = 36 m
3² - 15² = 2 * a * 36
-216 / 72 = a
a = - 3 m / s²
a = ( v - u ) / t
- 3 = ( 3 - 15 ) / t
t = 4 sec
Rate of change of velocity is the velocity difference between initial and final velocity. It is denoted as Δv.
Therefore, it takes the cyclist 4 seconds to slow down.
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What is Motion Under Gravity.
Please help me to find the velocity!!!
The relation that predicts the velocity, [tex]x(t) = \frac{1}{2} \cdot 4 \cdot {t}^{2} [/tex], gives the velocity at t = 4.5 seconds as 18
Which values can be found from the given relation in order to predict the velocity?The given function for the velocity of the car with time is [tex]x(t) = \frac{1}{2} \cdot 4 \cdot {t}^{2} [/tex]
Comparing the above function with the following equation of motion;
[tex]x(t) = u\cdot t + \frac{1}{2} \cdot a \cdot {t}^{2} [/tex]
We have;
x(t) = The distance traveled after time, t
a = The acceleration = 4
u = The initial velocity = 0
The equation of motion for the velocity as a function of time is; v = u + a•t
Which gives;
v = 0 + 4•t
The velocity of the car at t = 4.5 seconds is therefore;
v = 0 + 4 × 4.5 = 18
The velocity of the car at t = 4.5 is 18
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Kofi sees his physics professor approaching on the sidewalk that runs by the second-floor dorm room. He gets a water balloon, and when the professor is 2.0 seconds from being directly underneath Kofi, 11m above the sidewalk, Kofi drops the balloon. Does the balloon hit the professor? Demonstrate why or why not?
The balloon hits the ground right before the professor gets there.
The balloon picks up speed due to gravity and we can calculate the time taken for it to fall to the ground as follows:
Gravity (g) = 9.81 m/s²
Height or distance (s) = 11 meters
Initial Speed (u) = 0 m/s
using equation of motion
[tex]s = ut + \frac{1}{2}at^{2}[/tex]
where s = height
u = initial speed
a = acceleration due to gravity
t = time taken
then using above values we get
11 = 0 x 2 + 0.5 x (9.8 x t²)
t = 1.4975
So we can see that the balloon takes 1.4975 seconds to fall to the ground, and since the professor takes 2 seconds to get to that place.
The balloon hits the ground right before the professor gets there.
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Which sport car motion does Not get any kind of "acceleration?" When a car
A- turns a corner
B- brakes to a stop
C- starts from a traffic stop
D- moves with constant velocity
Answer:
D- moves with constant velocity
Explanation:
As we know that acceleration is tge rate of change in velocity.
Since velocity is constant, the change in velocity is zero (∆v=0)
[tex]{ \tt{acceleration = \frac{ \triangle v}{t} }} \\ \\ { \tt{acceleration = \frac{0}{t} }} \\ \\ { \tt{acceleration = 0}}[/tex]
During which type of change should you expect to see different chemical
symbols before and after the change?
A. Chemical
B. Phase
C. Nuclear
D. Physical
During the nuclear change we can expect to see different chemical symbols before and after the change
Chemical and nuclear reactions are quite different from one another. Atoms can share electrons with other atoms or participate in an electron transfer to increase their stability in chemical reactions. In nuclear reactions, the atom's nucleus stabilizes itself by going through some sort of alteration. Compared to the energies involved in chemical reactions, the energies produced in nuclear reactions are many orders of magnitude higher. Environmental factors like temperature or pressure do not significantly affect nuclear reactions like they do with chemical ones.
Nuclear reactions involve a change in an atom's nucleus, usually producing a different element. Chemical reactions, on the other hand, involve only a rearrangement of electrons and do not involve changes in the nuclei
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O 10
Question 12
Which Noble Gas has the lowest average atomic mass?
ONe
Xe
Ar
He
The mass of an atom is its atomic mass. Although the kilogram is the standard international measurement of mass, the unified atomic mass unit, or dalton, is frequently used to express atomic mass. One Da is equal to one-twelfth of a free carbon-12 atom's mass when it is at rest in the ground state.
Which Noble Gas has the lowest average atomic mass?
Ne; Xe; Ar; He
"He - 4.0026Da"
It is written as a multiple of 1.992646547 1023 gram, or one-twelfth of the mass of the carbon-12 atom, which is given an atomic mass of 12 units. In this scale, 1.660539040 1024 gram is equal to 1 atomic mass unit (amu). In honor of English chemist John Dalton, the atomic mass unit is often known as the dalton (Da).
The total mass of the protons, neutrons, and electrons that make up an atom is a little bit less than the observable atomic mass. According to an equation where the energy (E) released equals the product of the mass (m) consumed and the square of the velocity of light in vacuum (c), the difference, known as the mass defect, is accounted for during the combination of these particles by conversion into binding energy; thus, E = mc2.
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Mention the class of lever from above figure. Calculate the magnitude of effort from the given diagram.
Answer:
F = 450N
Explanation:
clockwise stock = anticlockwise stock
F(2m) = 600N(1.5m)
2mF/2m = 900Nm/2m
F = 450N
Therefore the magnitude of the effort from the given diagram is 450N.
If the Moon were two times farther away from the Earth than it is today, and four times more massive than it is today, which of the following statements would be true?
a.The Moon's orbital period would be different, but its gravitational force on the Earth would remain the same.
b.The Moon's gravitational force on the Earth would be different, but its orbital period would remain the same.
c.Both the Moon's orbital period and its gravitational force on the Earth would remain the same.
d.Both the Moon's orbital period and its gravitational force on the Earth would be different.
Both the Moon's orbital period and its gravitational force on the Earth would be different.
What is the gravitational force?Any two objects with mass are drawn together by the gravitational force. We refer to the gravitational force as attractive because it consistently seeks to draw masses together rather than pushing them apart. In fact, everything in the universe is pulling on everything else, including you.
The rise and fall of ocean tides is a result of the moon's gravitational effect. Their gravitational attraction to self-destructive behavior has been the focus of extensive research. of or pertaining to a strong movement or natural tendency toward something or someone.
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A teacher sitting in her rolling chair pushes against the wall and moves in the opposite direction what law is this
The statement that a teacher sitting in her rolling chair pushes against the wall and moves in the opposite direction exemplifies the third law of motion by Newton.
What is Newton's third law of motion?Newton's third law of motion states that for every action, there is an equal and opposite reaction.
This law describes the nature of a force as the result of a mutual and simultaneous interaction between an object 1 and a second object 2.
According to Newton's third law of motion, whenever two objects A and B interact with each other, they both exert equal but opposite forces upon each other.
Therefore, the statement that a teacher sitting in her rolling chair pushes against the wall and moves in the opposite direction exemplifies the third law of motion by Newton.
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1. How much heat input is needed to
raise the temperature of a 20kg
vat made of iron and filled with a 3kg of water from 10°C to 90°C? Take the
Cp of iron and water to be 450J/kg:
land 4186.J/k9°C respectively
By using Specific heat capacity, 741.76 x [tex]10^4[/tex]heat energy is needed to raise the temperature.
The amount of heat required to increase the temperature of 1 gram of a substance by 1 degree Celsius (°C) is known as the specific heat capacity.
The importance of specific heat capacity may be summed up as the quantity of energy needed to heat or cool an item of a given mass by a certain amount.
Given:
Mass of vat, mvat = 20kg
Mass of water, mwater = 3kg
ΔT = 90 – 10 = 80℃
Specific heat capacity of iron, Ciron = 450J/kg
Specific heat capacity of water, Cwater = 4186J/kg
To find:
Heat energy required, Q = ?
Formula:
C = Q / (m ΔT)
Calculations:
Q = mCΔT
Q = Qempty + Qwater
Q = (20 x 450 x 80) + (3 x 4186 x 80)
Q = 172.464 x [tex]10^4[/tex]J
Result:
Heat energy required is 172.464 x [tex]10^4[/tex]J
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When she sees the red traffic light, Marie brakes to a halt from a speed of 70m/s in just 2.0
seconds. What is her acceleration?
35 is the deceleration
Deceleration is described as a reduction in speed as the body advances away from the beginning position. The opposite of acceleration is deceleration. It is written as. Negative acceleration is another name for deceleration. The formula for calculating acceleration is modified by adding a negative sign to calculate deceleration, which is the exact opposite of acceleration. Deceleration will be since deceleration is determined by dividing the change in velocity by time.
Deceleration is equal to -v/t, where v stands for velocity change and t for time.
Since t = 2 s and v = 70 m/s in this instance,
Deceleration equals -70/2 to -35.
35 mph is the deceleration.
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a ball rolling down a hill for 9 seconds accelerates from 3 m/s to 34.5m/s
The ball rolling down the hill has an acceleration of 3.5 [tex]m/s^2[/tex].
Acceleration refers to the rate at which an object's velocity with regard to time changes. An object's velocity might alter depending on whether it moves faster or slower or in a different direction.
Given:
Initial velocity, u = 3m/s
Final velocity, v = 34.5m/s
Time, t = 9 seconds
To find:
Acceleration, a = ?
Formula:
v = u + at
Calculations:
a = (v – u) / t
a = (34.5 – 3) / 9
a = 31.5 / 9
a = 3.5 [tex]m/s^2[/tex]
Result:
The acceleration of the rolling ball is 3.5 [tex]m/s^2[/tex].
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1. An aircraft is flying due north with a velocity of 200 m s -1. A side wind of velocity
50 m s -1 is blowing due east. What is the aircraft's resultant velocity (give the
magnitude and direction)?
The Magnitude of the resultant velocity is given by: Vr = squareroot of the addition of (2002 + 502) = 210m/s at 14.04degrees.
The velocity would be roughly 206.16 m/s at a heading of approximately if the airplane were simply following the wind and not attempting to course correct. A compass reading of 14.04 degrees (0 deg being North, 90 deg being East).
Y axis is north, and X axis is east. The line m=rise (y2-y1)/run (x2-x1) = 200/50 has a slope of 4/1. Since a2 + b2 = c2 on the triangle, 40,000 + 2,500 = 42,500. The hypotenuse of our right triangle, which represents the total distance traveled in one second, is equal to 206.16, which is the sq root of that number.
Now, we can determine the heading using TAN = Opposite / Adjacent (the angle x of the line on our graph). TAN (x) = 50/200 = 0.25 so x = 14.04 degrees, approximately.
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Why do the planets stay in orbit?
O friction
O gravity
O kinetics
O mass
Answer:
B
Explanation:
Gravity
1. After completing the professional self-inventory, introduce yourself to your instructor and classmates as you would to an employer in an interview by briefly describing your work (or volunteer) experience. Use the results of your self-inventory to guide your introduction. 2. Explain how your work (or volunteer) experience or skills will be valuable in the healthcare field. 3. Describe two (2) tips for writing an effective work experience section from your research. Be sure to cite your source(s).
app will diagnose a particular disease and suggest the appropriate measures and helps in booking an appointment with the doctor.
Let us assume that self-inventory is a health care application.
It is useful in the domain of health care.
the app will diagnose a particular disease and suggest the appropriate measures and helps in booking an appointment with the doctor.
so this is a computer engineering student's invention he/she can show this in the workplace and can explain them.
this would increase the chances of getting hired.
This also adds to our experience.
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A generator:
operates only when a circuit is open.
is responsible for the coil that turns inside of an electric motor.
uses electromagnetic induction.
All of the choices are correct
Olivia is performing an experiment with a series circuit that contains a battery and two bulbs. In the middle of the experiment both bulbs stop burning at the
same time. She finds that the battery no longer has a charge. What is the best explanation of the energy in the circuit?
A: The energy in the battery was transformed into electrical energy, light energy, and heat energy.
B: The electrical energy in the circuit was used up.
C: The electrical energy was transformed by an insulator.
D: The energy in the battery was not conserved
The best explanation of the energy in the circuit is, the energy in the battery was transformed into electrical energy, light energy, and heat energy.
option A is the correct answer
What is law of conservation of energy?The law of conservation of energy states that the total energy of an isolated system remains constant, that is the total energy of the isolated system is said to be conserved over time.
According to the law of conservation of energy, energy can neither be created nor destroyed but can be converted from one form to another.
For instance, electrical energy can be converted into heat and light energy, mechanical energy can be converted into electrical energy, and vice versa, chemical energy can be converted into light and heat energy.
Thus, when she finds that the battery no longer has a charge, the best explanation of the energy in the circuit would be the energy in the battery was transformed into electrical energy, light energy, and heat energy.
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Answer:
Explanation:
It's A I got this question wrong twice and I got it correct when I clicked A. Hope this helps!
A 80 kg bicyclist is coasting down a long hill that has a 10 ∘ slope. His cross-section area is 0.35 m2, his drag coefficient is 0.85, his bicycle's coefficient of rolling friction is 0.02, and the air temperature is 20∘C.
An 80 kg bicyclist is coasting down a long hill that has a 10° slope. The speed that a cyclist has eventually attained is mathematically given as
v = 26 meters per second. or v = 26 m/s
This is further explained below.
What is the speed?Generally, the equation for balancing the equation of Force is mathematically given as
F1 = F2 + F3
Therefore
F3 = F1 - F2
Where
sinθ = sin(10) = 0.1736
and
cosθ = cos(10) = 0.9848
F1 = m g sinθ
F1=80 x 9.81 x 0.1736
F1= 136.24 N
F2 = μ m g cosθ
F2= 0.02 x 80 kg x 9.81 m/s2 x 0.9848
F2 = 15.46 N
Hence
F3 = F1 - F2
F3= 136.24 N - 15.46 N
F3= 120.78 N
In conclusion, The equation for is mathematically given as
v = speed reached by a bicyclist
v= ((2 x F3 / (ρ x CD x A)) 0.5
Therefore
v = ((2 x 120.78 N / (1.2041 kg/m3 x 0.85 x 0.35))1/2
v= 25.97 m/s
v = 26 m/s
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Complete Question
An 80 kg bicyclist is coasting down a long hill that has a 10 ∘ slope. His cross-section area is 0.35 m2, his drag coefficient is 0.85, his bicycle's coefficient of rolling friction is 0.02, and the air temperature is 20∘C.
What speed those he eventually reach?
3. (01.03 LC)
When is the net force on an object equal to zero? (4 points)
O When the object is in motion
O When the object is changing direction
O When the forces acting on the object are balanced
O When inertia is not present
The net force on an object equal to zero When the forces acting on the object are balanced
Option C is correct answer.
When the forces acting on the object are balanced :When the net forces working on the object are balanced, it's in equilibrium.Net forces imply that each one forces, or their effective values, are equal and opposite to every other in magnitude and direction.Since all forces cancel one another, therefore the object has no effective force acting on it.Such an object might be at rest or in motion. Therefore the net force on the object is 0.When the sum of forces on an object is zero the object?
Newton's first law states that when the resultant of all forces acting on an object (the net force) is zero, the thing is in equilibrium. If the thing is initially at rest, it remains at rest. If it's initially in motion, it continuously move with constant velocity.
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10. A spring whose composition is not completely known might be either bronze (sp gr 8.8) or brass (sp gr 8.4). It has a mass of 1.26 g when measured in air and 1.11 g in water. Which is it made of?
The element used is of bronze.
Now before we find out how we got the answer as bronze, firstly let us understand about the device we are talking about. That is, spring.
What exactly is a spring?
A spring is defined as a device that changes its shape in response to an external force, returning to its original shape when the force is removed. If we apply force or pressure in this device, it will change its shape but the moment we stop applying force, it will come back to its original state.
This means that this device is made of something flexible. So, the material it is made up of should also be flexible in nature.
How to find out flexibility of spring?
Flexibility of spring can be found as q = f Q, where f is the spring flexibility.
Here, in this question, we are given the mass of element in air and water. This shows a slight comparison between the mass of that particular element in air and water and thus, we get to know it is trying to draw our attention towards density.
Here, we have mass in air and water, thus, we can determine the density.
From these numbers, we can know that the density given is of bronze.
Hence, the element used is Bronze.
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What are the reactants in a chemical formula?(1 point) Responses the substance created by chemical change the substance created by chemical change the atoms after the chemical reaction, found on the right side of the equation the atoms after the chemical reaction, found on the right side of the equation the atoms left over after the formation of the new substance the atoms left over after the formation of the new substance the atoms prior to the chemical reaction, found on the left side of the equation
The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation. That is option D.
What is a chemical formula?A chemical formula is defined as the scientific way of representation of chemical compounds either singly or during a chemical reaction.
During a chemical reaction, a chemical formula is made up of a right side and a left side with an arrow at its middle indicating the movement of the energy of the chemical reaction.
The reactants are found located at the left hand side of the chemical formula.
The reactants are made up of elements and compounds which combines to form a new product through the formation of new chemical bonds.
For example in the formation of water,
2H2. + O2. --> 2H2O
Here, Hydrogen and oxygen molecules are the reactants which are seen on the left-hand side of the chemical reaction.
Therefore, The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation.
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Answer: D
Explanation: I took the quick check
100 POINTS I NEED HELP PLOTTING
Length of String (m) Period (s) Trial 1.
030 1.04
0.50 1.29
0.70 1.56
Period (s) Trial 2. Period (s) Trial 3
1.05 1.06
1.29 1.30
1.56 1.57
Average Period (s) Square of Average Period (s2)
1.05 1.10
1.29 1.66
1.56 2.43
Mass of bob (g) 100
Procedure
Use the 30 cm, 50 cm, and 70 cm pendulum simulations to collect the data for Part 2. Use the same mass for each pendulum. Start with the 30 cm pendulum simulation.
Take a pendulum from the toolbar and position it so that the circle at the top of the pendulum is inside of the dotted circle in the simulation.
Reset the timer.
Pull the pendulum back a small angle and release it. Record the time for the period in the data table.
Reset the timer and repeat for two more trials.
Move to the 50 cm pendulum simulation and repeat steps 2-5. Then, move to the 70 cm pendulum simulation and repeat steps 2-5.
Plot a graph of the average period (s) vs. length (m). Draw the best fit line.
Square the average period values and add those values to your data table.
Plot a graph of the square of the average period (s2) vs. length (m). Draw the best straight line that you can fit through the data points.
The graph representing average speed ( s ) vs length ( m ) and square of average speed ( s² ) vs length ( m ) is shown in the image attached below.
The value of time period of three trials each for all three length are given. The average value of all the given time periods are found by using
s = ( s1 + s2 + s3 ) / 3
Then the average time period is squared. In graph 1, the the length of pendulum ( y-axis ) is plotted against average time period ( x-axis ). In graph 2, the the length of pendulum ( y-axis ) is plotted against square of average time period ( x-axis ).
Therefore, the graph representing average speed ( s ) vs length ( m ) and square of average speed ( s² ) vs length ( m ) is shown in the image attached.
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Which of the following will cause the decrease in an objects weight
When the mass of the object decreases the weight of the object will decrease.
Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.
We know that weight is the product of applied gravitational force and mass.
Therefore, W = M × G
Where W represents the weight of the object, M is the mass of the object, and G is the gravitational force. As a result, it might also mean that "an object's weight is directly proportionate to its mass."
Therefore, a decrease in mass will result in a decrease in the object's weight.
The correct option is (b).
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The complete question is mentioned below:
Which of the following will cause a decrease in an object's weight?
(a) Increase in the mass of the object
(b) Decrease in the mass of the object
(c) Increase in the temperature of the object
(d) Decrease in the temperature of the object
What's Cognitive Psychology focuses on studying?
A swimmer jumps from a waterfall at a velocity of 1.90 m/s to the lake below. How high is the waterfall if the swimmer lands 2.5 m away from the base of the waterfall?
At what velocity does the swimmer enter the water?
1. The waterfall is 8.54 m high
2. The velocity with which the swimmer enters the water is 14.836 m/s
How to determine the time to reach the waterInitial velocity (u) = 1.9 m/sHorizontal distance (s) = 2.5 mTime (t) = ?s = ut
2.5 = 1.9 × t
Divide both sides by 1.9
t = 2.5 / 1.9
t = 1.32 s
1. How to determine the height of the waterfallTime (t) = 1.32 sAcceleration due to gravity (g) = 9.8 m/s²Height (t) =?h = ½gt²
h = ½ × 9.8 × 1.32²
h = 8.54 m
2. How to determine the velocityThe velocity with which the swimmer enters the water can be obtained as follow:
Initial velocity (u) = 1.9 m/sAcceleration due to gravity (g) = 9.8 m/s²Time (t) = 1.32 sFinal velocity (v) = ?v = u + gt
v = 1.9 + (9.8 × 1.32)
v = 1.9 + 12.936
v = 14.836 m/s
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Question 2 of 10
During which step of the scientific method does a scientist determine
whether the hypothesis was supported?
OA. Draw conclusions
OB. Design an experiment
OC. Collect data
OD. Perform the experiment
SOBMIT
When the scientists draw conclusions the scientist find out whether the hypothesis was supported.
A hypothesis is a theory put up to explain a phenomenon. A hypothesis cannot be called a scientific hypothesis unless it can be tested using the scientific process.
Once your experiment is complete, you collect your measurements and analyze them to see if they support your hypothesis.
Scientists frequently discover that their hypotheses and predictions were not supported by the results of their experiments. In these circumstances, they will discuss the results of their experiment before reevaluating their initial theories and predictions in light of the fresh information. The scientific method is essentially restarted in this way. Even if they discover that their theory was correct, they could still wish to verify it once more using a different approach.
The correct option is (a).
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