Answer:
Both graphs are linear with positive slopes, but the second graph has a steeper slope than the first graph. I just took the quick check so I know the answer from Connexus.
Explanation:
Since the first graph goes over 1 second and up 2 meter/s then that would mean it is less steep than the graph that goes over 1 second and up 4 m/s; so this rules out option A. Now for C and B, it says a constant "Horizontal line" which would be wrong for the case because the slopes are not going sideways, the slopes in the question are going in a slanted vertical constant motion. I hope this helps!
Both graphs are linear with positive slopes, but the second graph has a steeper slope than the first graph, therefore the correct answer is option A.
What is acceleration?
The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
As given in the problem Suppose you are looking at two graphs of velocity vs time.
The first graph is of an object undergoing constant positive acceleration of 2 meters/second², and the second graph is of an object undergoing constant positive acceleration of 4 meters/second².
The second graph has a higher slope than the first, but both graphs are linear with positive slopes, thus option A is the right response.
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on a very large distant screen, what is the total number of bright fringes (those indicating complete constructive interference), including the central fringe and those on both sides of it?
The fringe that is most distant from the central bright fringe occurs at 79.5°.
Given information,
Slits separation d = 1.14 × 10⁻² mm
The wavelength of light, λ = 590 × 10⁻⁹ m
Condition for constructive interference
d sinθ = mλ
sinθ = mλ/d
The order of the fringes
m = d/λ = 1.14 × 10⁻⁵m / 590 × 10⁻⁹ m
m = 19.32
Total fringes are 2(19) +1 = 39
Consequently, the angle at which the fringe that is farthest from the center's brightest fringe occurs will depend on the original direction of the beam. sinθ = mλ/d
θ = sin⁻¹ (mλ/d)
= sin⁻¹ [(19)( 590 × 10⁻⁹ m )/(1.14 × 10⁻⁵ m)]
= 79.5°
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Your question is incomplete, most probably the full question is this:
Part A
On a very large distant screen, what is the total number of bright fringes (those indicating complete constructive interference), including the central fringe and those on both sides of it? Solve this problem without calculating all the angles! (Hint: What is the largest that can be? What does this tell you are the largest value of ?) Slits separation by 1.14 × 10⁻² mm and the wavelength of light is 590 × 10⁻⁹ m
39.0
Correct
At what angle, relative to the original direction of the beam, will the fringe that is most distant from the central bright fringe occur?
= ?
What is the mass of a box that accelerates to 10 m/s/s with a 70 Newton push?
Answer:
Mass of box = 7 kg
Explanation:
Force = 70 N
Acceleration = 10 m/s²
Force is product of mass and acceleration.
\( \longrightarrow \) Force = Mass × Acceleration
\( \longrightarrow \) 70 = Mass × 10
\( \longrightarrow \) Mass = \( \sf \dfrac{70}{10} \)
\( \longrightarrow \) Mass = 7 kg
polaris has been used for navigation by explorers such as columbus as they sailed to the new world. when magellan sailed to the southern hemisphere he could not use polaris. why?
Magellan could not use Polaris for navigation in the Southern Hemisphere because it is not visible from that region.
Polaris, also known as the North Star, has been used for navigation by explorers in the Northern Hemisphere. However, when Magellan sailed to the Southern Hemisphere, he could not use Polaris for navigation.
Polaris is located very close to the North Celestial Pole, which means it appears to be almost directly above the Earth's North Pole. As a result, when navigating in the Northern Hemisphere, Polaris remains relatively fixed in the night sky, providing a reliable point of reference for determining north.
In the Southern Hemisphere, however, Polaris is not visible. This is because it is located close to the Earth's North Pole, and the South Celestial Pole does not have a bright star comparable to Polaris. Navigators in the Southern Hemisphere must rely on other celestial objects, such as the Southern Cross or specific constellations, to determine their direction.
Therefore, Magellan could not use Polaris for navigation in the Southern Hemisphere because it is not visible from that region.
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the velocity of a particle traveling along an axis is given. near what time is the instantaneous acceleration equal to 0?
The most likely time for the instantaneous acceleration to be zero is t = 2.7 sec
What is instantaneous acceleration ?Instantaneous acceleration : The acceleration at any given point in the motion is provided by the continuous time function a(t), which is written as a function of time. The derivative of the velocity function is used to calculate it. The graph of velocity versus time's slope, or instantaneous acceleration, is a measure of motion.
The slope of the tangent line to the graph at any given point on the graph corresponds to the instantaneous acceleration there. The instantaneous acceleration of the particle is equal to 0 when this line is horizontal and has a slope of 0.
According to the plot, these times correspond to the velocity function's extrema, which can be found at t = 1.75, 2.75, 3.25, and for all t = 4.
Thus the most likely time is t = 2.7
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The process of converting energy produced by wind turbines into electricity is about 40 percent efficient. If the transport of electricity is 90 percent efficient and fluorescent light bulb efficiency is known to be 20 percent, what is the overall efficiency for converting wind into fluorescent lighting
Answer: 7.2%
Explanation:
Given
Efficiency of converting energy produced by wind into electricity is about \(\eta_1=40\%\)
Transport of electricity efficiency \(\eta_2=90\%\)
Fluorescent light bulb efficiency is \(\eta_3=20\%\)
Overall efficiency is the product of all the efficiencies i.e.
\(\Rightarrow \eta=\eta_1\times \eta_2\times \eta_3\\\\\Rightarrow \eta=0.4\times 0.9\times 0.2\\\Rightarrow \eta=0.072\ \text{or}\ 7.2\%\)
Therefore, the overall efficiency is 7.2%
An astronaut on the ISS is doing an experiment with two puffy Cheetos inside a carefully sealed container. A charge of 1.2 E−5 C is place on the first Cheeto. The second one receives a charge of 2.5 E−6 C. The force acting on the first Cheeto is 5.73 E−1 N. What is the distance between the Cheetos if k = 8.99 E9 N*m2/C2?70 cm60 cm40 cm49 cm
ANSWER:
1st option: 70 cm
STEP-BY-STEP EXPLANATION:
Given:
Force (F) = 5.73 E−1 N^
Electrical charge 1 (q1) = 1.2 E−5 C
Electrical charge 2 (q2) = 2.5 E−6 C
k = 8.99 E9 N*m2/C2
We can calculate the distance between both charges with the help of Coulumb's law, just like this:
\(F=k\cdot\frac{q_1\cdot q_1}{d^2}\)We substitute and solve for the distance, just like this:
\(\begin{gathered} 5.73\cdot\: 10^{-1}=\frac{8.99\cdot10^9\cdot\:1.2\cdot\:10^{-5}\cdot2.5\cdot10^{-6}}{d^2} \\ d^2=\frac{8.99\cdot10^9\cdot1.2\cdot10^{-5}\cdot2.5\cdot10^{-6}}{5.73\cdot10^{-1}} \\ d=\sqrt[]{0.47} \\ d=0.69\text{ m}\cong0.70\text{ m}=70cm \end{gathered}\)The distance is 70 centimeters
how high (in m) a hill can a car coast up (engine disengaged) if friction is negligible and its initial speed is 88.0 km/h? (enter a number.)
The maximum height the car can coast up the hill (engine disengaged) is approximately 21.8 meters.
To determine the maximum height the car can coast up the hill, we can apply the principle of conservation of mechanical energy. When the car is coasting up the hill, its initial kinetic energy is converted into potential energy as it gains height.
The initial kinetic energy (KE) of the car is given by the formula:
KE = (1/2)mv²
where m is the mass of the car and v is its initial speed.
Given that the initial speed is 88.0 km/h, we need to convert it to meters per second (m/s). There are 3.6 m/s in 1 km/h, so:
v = 88.0 km/h × (1000 m/1 km) / (3600 s/1 h) ≈ 24.4 m/s
Assuming the mass of the car is negligible compared to its kinetic energy, we can disregard it in this calculation.
The potential energy (PE) gained by the car as it reaches its maximum height is given by:
PE = mgh
where m is the mass of the car, g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the maximum height.
At the maximum height, all of the car's initial kinetic energy is converted into potential energy, so:
KE = PE
(1/2)mv² = mgh
h = (1/2) v²/g
h = (1/2) × (24.4 m/s)² / (9.8 m/s²) ≈ 21.8 meters
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In the picture to the right, find the angle at which
the box is pulled if the work done is 50J
Answer:
42 °
Explanation:
From the question given above, the following data were obtained:
Force (F) = 45 N
Workdone (Wd) = 50 J
Distance (d) = 1.5 m
Angle (θ) =.?
Angle at which the box is pulled can be obtained as:
Wd = Fd × Cos θ
50 = 45 × 1.5 × Cos θ
50 = 67.5 × Cos θ
Divide both side by 67.5
Cos θ = 50 / 67.5
Cos θ = 0.7407
Take the inverse of Cos
θ = Cos¯¹ 0.7407
θ = 42.2 ≈ 42 °
Thus, the angle at which the box is pulled is approximately 42 °.
A parallel plate capacitor is charged to voltage V and then disconnected from the battery (the charge on the plates remains fixed). If the plates are pulled away from each other, how would it affect the voltage
When the plates of a charged parallel plate capacitor are pulled apart, the capacitance decreases. As a result, the voltage across the capacitor increases, even though the charge remains constant.
If the plates of a parallel plate capacitor are pulled away from each other after being charged to voltage V and the charge on the plates remains fixed, the separation distance between the plates would increase. As a result, the capacitance of the capacitor would decrease since capacitance is inversely proportional to the distance between the plates. According to the formula Q = CV, where Q is the charge and C is the capacitance, with a fixed charge Q and decreasing capacitance C, the voltage V would increase.
Therefore, pulling the plates away from each other would cause the voltage across the capacitor to increase.
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the radius of the planet mercury is 2.43*10^6m and its mass is 3.2*10^23 kg. find the period of a satellite orbiting mercury 265,000 m above its surface?
The period of a satellite orbiting mercury 265,000 m above its surface is 100 minutes if the radius of the planet mercury is 2.43*10^6m and its mass is 3.2*10^23 kg.
v = √ G M / r
r = R + d
v = Orbital velocity
G = Gravitational constant
M = Mass of planet
r = Radius of the orbit
R = Radius of planet ( mercury )
d = Distance from surface to satellite
m = 3.2 * \(10^{23}\) kg
R = 2.43 * \(10^{6}\) m
d = 265000 m
G = 6.67 * \(10^{-11}\) N m² / kg²
r = R + d
r = 2.43 * \(10^{6}\) + 265000
r = 2.695 * \(10^{6}\) m
v = √ ( 6.67 * \(10^{-11}\) * 3.2 * \(10^{23}\) ) / 2.695 * \(10^{6}\)
v = √ 7.92 * \(10^{6}\)
v = 2.81 * 10³ m / s
v = 2.81 km / s
v = 2 π r / T
T = Time period
T = 2 * 3.14 * 2.695 * \(10^{6}\) / 2.81 * 10³
T = 6.02 * 10³ s
T = 100 minutes
Therefore, the period of a satellite orbiting mercury is 100 minutes
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The mass of a carbon atom is 12. 00amu while the mass of a helium-4 atom is 4. 003amu. If three atoms of helium fuse to form carbon, how much mass is converted into energy?.
If three atoms of helium fuse to form carbon than 0.009 u of mass is converted into energy
Given: m(He) = 4.003 u
and m(C) = 12.000 u
Mass of 3 alpha particles =3×4.003 u
=12.009 u.
Mass of 1 carbon atom=12.000 u
Mass Defect =△m=12.009−12.000=0.009 u
Energy released =0.009×931.5=8.3835 MeV.
So, 0.009 u of mass is converted into 8.38 Mev energy.
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83. a γ-ray photon has a momentum of 8.00×10−21kg⋅m/s. find its wavelength and energy.
A γ-ray photon has a momentum of 8.00×\(10^{-21}\) kgm/s. The wavelength of the photon is 8.28×\(10^{-14}\) m and The energy of the photon is 2.40×\(10^{-13}\) J.
We know that the momentum (p) of a photon is related to its wavelength (λ) by
p = h/λ
Where h is the Planck's constant (h = 6.626×\(10^{-34}\) J⋅s).
Using the above equation, we can solve for the wavelength (λ)
λ = h/p
λ = (6.626×\(10^{-34}\) J⋅s) / (8.00×\(10^{-21}\)kgm/s)
λ = 8.28×\(10^{-14}\) m
Therefore, the wavelength of the photon is 8.28×\(10^{-14}\) m.
The energy (E) of a photon is related to its frequency (f) by
E = hf
Where f is the frequency.
Since the speed of light (c) is related to the wavelength and frequency by c = fλ, we can also write
E = hc/λ
Using the value of λ we calculated earlier, we can solve for the energy (E)
E = (6.626×\(10^{-34}\)J⋅s)(3.00×\(10^{8}\) m/s) / (8.28×\(10^{-14}\) m)
E = 2.40×\(10^{-13}\) J
Therefore, the energy of the photon is 2.40×\(10^{-13}\) J.
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When does a bouncing ball have the least amount of kinetic energy?
Answer: win it no bouncing
Explanation:
As a motorcycle takes a sharp turn, the type of motion that occurs is called _______________ motion.
Answer:
circular motion
Explanation:
As a motorcycle takes a sharp turn, the type of motion that occurs is called circular motion.
Circular motion is a movement of an object along a circular path. As this motorcycle makes the sharp turn, it is acted upon by a centripetal force which directs the motorcycle towards the center.
Therefore, circular motion is the correct answer to the question.
Answer:
Circular Motion
what is looping? select one: a. the process of combining different sound tracks into a single track b. the rerecording of sound first recorded on set c. the recording of sound on set d. the process of converting sound waves into electrical signals
Looping refers to option B, which is the process of rerecording sound that was originally recorded on set. This is done in a studio setting and is also known as Automated Dialogue Replacement (ADR).
It is typically used to fix any issues with the original sound recording, such as background noise or actors speaking too softly or too loudly. By rerecording the dialogue in a controlled environment, the sound can be adjusted to better fit the scene and create a more polished final product.
Definitions of looping. (computer science) executing the same set of instructions a given number of times or until a specified result is obtained. synonyms: iteration. type of: physical process, process. a sustained phenomenon or one marked by gradual changes through a series of states.
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What happens when an electrically charged balloon is placed close to an uncharged soda can?
The balloon attracts the can.
The balloon is negatively charged.
The can attracts the balloon.
The can becomes positively charged.
Answer:
The surface closest to the balloon becomes positively charged, while the far side of the can becomes negatively charged. This results in an attractive force that draws the can to the balloon.
Explanation:
Answer:
The balloon is negatively charged.
Explanation:
hope it helps
Calculate the current through the resistor in the circuit shown below.
Answer:
0.6amp or I= 0.6
Explanation:
V=IR
12V=I(20)
12/20=I
0.6=I
Answer:
0.6amp
Explanation:
the electronic crime scene is handled completely differently from a traditional crime scene.
"Yes, the electronic crime scene is handled completely differently from a traditional crime scene. The electronic crime scene refers to a crime that has taken place in the digital world.
In contrast, a traditional crime scene refers to a crime that has taken place in the physical world, and it is evident that the two scenarios are handled differently.
An electronic crime scene refers to the area or place where electronic evidence is gathered for use in investigations or legal proceedings. Electronic evidence refers to information or data stored, created, or transmitted in electronic devices, including computers, smartphones, flash drives, and other digital devices. The collection of electronic evidence differs significantly from the collection of traditional evidence. The first step is the preservation of electronic evidence. In a traditional crime scene, it is possible to cordon off the area using yellow tapes, close windows, and take photographs of the scene. However, this is not the case with an electronic crime scene since electronic evidence is intangible. This is why digital forensic investigators begin the evidence preservation process by creating a forensic image of the electronic device under investigation. This is done to prevent data loss or alteration before investigations commence.
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what produces magnetic fields
Answer:
B is the answer
Explanation:
Magnetic fields are produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with a fundamental quantum property, their spin.
HELP ASAP I WILL GIVE 60 POINTS AND LIKE YOUR Answer PLEASE HELP ME NOWWWWW
7. Gravitational force is an attractive force that always exists between any two objects with mass. Gravitational fields are usually studied on a macroscopic scale, such as with planets and stars
8. Planets orbit stars because of the gravitational force between them.
9. The strength of an object's gravitational field is determined by its mass and distance from other objects.
What is gravitational force?Gravitational force is described as the force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.
The gravitational force of the star attracts the planet towards it which makes it tp move in a curved path around the star.
The gravitational force between the planet and the star is the reason why the planet move in an elliptical orbit around the star.
The strength of an object's gravitational field is determined by its mass and the distance between it and other objects, and has an important function of shaping the dynamics and structure of the universe.
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if the current density in a wire is given by j=alpha*r,where alpha is a constant and r is the distance from the center of the wire, 0
Given:
The current density is,
\(J=ar\)a is a constant, and the radius of the wire is R.
To find:
The current in the wire
Explanation:
The current in the wire is,
\(\begin{gathered} I=\int JdA \\ =\int ardA \end{gathered}\)We know,
\(\begin{gathered} A=\pi r^2 \\ dA=2\pi rdr \end{gathered}\)So,
\(\begin{gathered} I=\int_0^Rar\times2\pi rdr \\ =2\pi a\int_0^Rr^2dr \\ =2\pi a\times\frac{R^3}{3} \end{gathered}\)Hence, the required current is,
\(\frac{2\pi aR^3}{3}\)To understand electrical currents we need to understand
Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A).
How much electricity is best understood?The energy of charged particles is referred to as electricity. One option for storing electricity is a battery. Electricity flows when you connect a battery to a light bulb. Due to the fact that electrical charges (electrons) can freely transport energy from the battery through the bulb, this occurs.
What is the most crucial electrical rule?Disconnect the power source. This is the first and most crucial requirement to abide by. This is the first and most crucial rule to adhere to. If you ever need to repair electrical equipment in your house, be sure to first unplug it from the power source. It might not be sufficient to simply turn it off.
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A chemist is likely to do which of the following
Answer:
I need to see the answer choices firsts silly
Explanation:
I need to see the answer choice firsts in order to answer because it can be many different answers
what is the acceleration a1 of the block when it passes through its equilibrium position? express your answer in terms of some or all of the variables a , m , and k .
The acceleration a1 of the block when it passes through its equilibrium position can be expressed as: a1 = -a (m/k) where a is the amplitude of the oscillation, m is the mass of the block, and k is the spring constant.
When the block passes through its equilibrium position, the net force acting on it is zero.
At this point, the spring force and the gravitational force cancel each other out. Therefore, the acceleration of the block is also zero at this point.
However, as the block moves away from the equilibrium position, the spring force begins to dominate over the gravitational force and causes the block to accelerate towards the equilibrium position.
The acceleration is directly proportional to the displacement from the equilibrium position and is given by a = -kx/m, where x is the displacement.
When the block reaches the maximum displacement (amplitude) a, the spring force is at its maximum and the gravitational force is negligible. At this point, the acceleration is given by a = -a (m/k).
In conclusion, the acceleration of the block when it passes through its equilibrium position is zero. However, as it moves away from the equilibrium position, the acceleration is given by a = -a (m/k). This expression shows that the acceleration is directly proportional to the amplitude of oscillation, inversely proportional to the mass of the block, and inversely proportional to the spring constant.
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T/F use the manometer to enter the appropriate pressure reading. assume an atmospheric pressure of 14.7 psia.
True. The manometer is used to measure the pressure difference between two points.
To determine the pressure at a specific point, the appropriate pressure reading must be entered into the manometer. In this case, assuming an atmospheric pressure of 14.7 psia, the manometer would be used to measure the pressure relative to this atmospheric pressure.
An explanation of how to use the manometer and enter the appropriate pressure reading may be necessary for those who are unfamiliar with this equipment.
Hence, A manometer measures pressure differences, and with an assumed atmospheric pressure of 14.7 psia, you can calculate the absolute pressure based on the manometer reading.
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A football player is running back and forth along the sideline of the football field. He starts at the 50 yard line, in the middle. He runs to the left all the way to the 20 yard line, then he runs to the right and stops at the 40 yard line on the other side of the field. What is the total distance travelled and what is his displacement?
Answer:
20 yards East
Explanation:
The question states he starts at the 50 yard line, and didn't imply that he'd ran for 50 yards already. Effectively, that said 50 yard would not count.
The question proceeded to saying he ran leftwards for 20 yards. This is the distance, or displacement that we would use as the first measurement. Running 20 yards in the Eastern direction.
The question then proceeded again, to saying he ran rightwards for another 40 yard. By so doing, he eclipsed the initial 20 yards he'd ran. And added few more yards..
40 - 20 = 20, meaning, he ran 20 more yards in the rightward direction.
Therefore, his displacement would be 20 yards to his right or say, Eastern direction.
In your own words explain what damped frequency is. Explain how you
find damped frequency
Please include as much information and as detailed as possible. I
will upvote thank you so much!"
Damped frequency refers to the frequency at which an oscillating system, such as a vibrating object or an electrical circuit, gradually loses energy and comes to rest due to the presence of damping forces or resistances. In other words, it is the frequency at which the amplitude of the oscillations decreases over time.
To find the damped frequency, you need to know the natural frequency and the damping factor of the system. The natural frequency represents the frequency at which the system would oscillate if there were no damping present. The damping factor quantifies how strongly the system is damped, with higher values indicating stronger damping.
The damped frequency can be calculated using the formula:
Damped Frequency = √(1 - (Damping Factor)²) × (Natural Frequency)
The term √(1 - (Damping Factor)²) accounts for the effect of damping on the system, reducing the natural frequency. Multiplying this factor by the natural frequency gives us the damped frequency.
It's important to note that the damped frequency will always be lower than the natural frequency since damping decreases the oscillation rate. Understanding the damped frequency is crucial for analyzing and predicting the behavior of damped systems, whether in engineering, physics, or other fields where oscillatory phenomena occur.
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a charge is placed 33 cm away from another charge. the charges are both 1.2 x 10^-5 coulombs. what is the force on each other
1.44*10^-3N is the force on each other. when 33 centimeters separates one charge from another charge. They both have charges of 1.2 x 10-5 coulombs.
Charge on the first sphere, q 1 =1.2 x 10^-5 C
Charge on the second sphere, q 2 =1.2 x 10^-5 C
Distance between the spheres, r=30cm=0.3m
F= 4πε
q 1 q 2/ r2
Where, ε 0
= Permittivity of free space 4πε 0
=9×10^9Nm2
F= (0.33) 2
1.2 x 10^-5 * 1.2 x 10^-5 C = 1.44*10^-3N
Hence, force between the two small charged spheres is 1.44*10^-3N.
The charges are of same nature. Hence, force between them will be repulsive.
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plz help urgent
i will give brainliest
Answer:
The answer is D. Balanced forces
Hope it helps.......... pls mark as brainliest
Two heated wires of same dimensions are first connected in series and then
Parallel to same source of supply. What will be the ratio of heat produced in the
two cases?
Whenever the heater wires are linked in series and parallel, a ratio of 1:4 heat is generated. The same power source is connected to two hot wires of the same size first in series and afterwards in parallel.
Which heater uses the least amount of electricity?Of the most energy-efficient heaters you can buy is a halogen heater. This one runs at around 18p per hour . It heats anything you focus it towards, so it's wonderful for keeping you or your visitors hot, but it's not the best option for heating a whole room.
How can I heat my home momentarily?If you require temporary warmth but do not have access to natural gas or electricity as a fuel source, convection heaters are ideal. As an alternative, these machines generate direct fired heat using vapor propane.
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The ratio of the heat produced in the two cases is 1 : 4.
Which heater uses the least amount of electricity?Of the most energy-efficient heaters you can buy is a halogen heater. This one runs at around 18p per hour . It heats anything you focus it towards, so it's wonderful for keeping you or your visitors hot, but it's not the best option for heating a whole room.
How can I heat my home momentarily?If you require temporary warmth but do not have access to natural gas or electricity as a fuel source, convection heaters are ideal. As an alternative, these machines generate direct fired heat using vapor propane.
The wires are of the same material and of the same dimensions. Therefore, both wires will have the same resistance (R).
When the wires are connected in series the equivalent resistance is
R₁ = R + R = 2R
When the wires are connected in parallel the equivalent resistance is R₂=
\($\mathrm{\frac{R \times R}{R + R} = \frac{R^2}{2R} = \frac{R}{2} }\)
We know that the heat produced by a wire of resistance R′
when it is connected across a voltage V is H \($ = \mathrm{ \frac{V^2}{R`}t \propto \frac{1}{R`}}\)
\($ \mathrm{\frac{H_{series}}{H_{Parallel} } = \frac{R_2}{R_1} =\frac{R/2}{2R} = \frac{1}{4} }\)
Thus, the ratio of the heat produced in the two cases is 1 : 4.
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