A complex will appear to be the colours that is right opposite it on the colour wheel if it absorbs a specific colour. Colors are produced by the partially filled d orbitals of the stable ions Cr3+(aq), Fe3+(aq), and Co2+ (located to the left, centre, and right, respectively).
Because the [Cu(NH3)4]2+ ion absorbs the orange and red light, leaving the complementary colours of blue and green, it has a blue colour. Some of the light's wavelengths are absorbed by [Cu(NH3)4]SO4 solution when white light, such as common sunshine, travels through it. Red light in the spectrum is absorbed by the [Cu(NH3)4]2+ ions in solution. All the colours, with the exception of red, will be present in the light that exits the solution. This combination of wavelengths appears light blue to us (cyan). The diagram illustrates what happens when white light is sent through a [Cu(NH3)4]SO4 solution.
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The Autobots are flying away from their home planet in a space cruiser that is accelerating constantly at 61.5 m/s2. If the ship started at rest, how far is it from the planet's surface after 10 min?
The space cruiser is 11070000 m far from the planet's surface
Data obatined from the questionThe following data were obtained from the question:
Initial velocity (u) = 0 mph = 0 m/sAcceleration (a) = 61.5 m/s² Time (t) = 10 minutes = 10 × 60 = 600 sDistance (s) =?How to determine the distanceWe can obtain the distance of the space cruiser from the planet's surface as follow:
s = ut + ½gt²
s = (0 × 600) + (½ × 61.5 × 600²)
s = 0 + (½ × 61.5 × 360000)
s = 0 + 11070000
s = 11070000 m
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The background count from a detector was measured to be 845 over a 30-min period. A source to be measured increases the total counting rate to about 80 counts/min. Estimate the time the source should be counted to determine the counting rate due to the source alone to within a fractional standard deviation of 3%
The background count from a detector was measured to be 845 over a 30-min period. A source to be measured increases the total counting rate to about 80 counts/min. Estimate the time the source should be counted to determine the counting rate due to the source alone to within a fractional standard deviation of 3% is :133.75 minutes
To determine the counting rate due to the source alone to within a fractional standard deviation of 3%, the source should be counted for 133.75 minutes.
This can be calculated using the equation: time = (3%*background count)/(counting rate - background count) = (3*845)/(80-845) = 133.75.
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The source should be counted for approximately 8.07 minutes to determine the counting rate due to the source alone to within a fractional standard deviation of 3%.
To estimate the time the source should be counted to determine the counting rate due to the source alone to within a fractional standard deviation of 3%, we can use the following formula: t = (N/B)^2 where t is the time in minutes, N is the total number of counts, and B is the background count rate.
Given that the background count from a detector was measured to be 845 over a 30-min period, the background count rate, B, is 845/30 = 28.17 counts/min.
The source increases the total counting rate to about 80 counts/min, so the total number of counts, N, is 80 counts/min.
Plugging these values into the formula, we get:
t = (80/28.17)^2
t = 8.07 minutes
Therefore, the source should be counted for approximately 8.07 minutes to determine the counting rate due to the source alone to within a fractional standard deviation of 3%.
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It is the final seconds of an ice hockey game between the Flyers and the Bruins. The Bruins are down by 1 point. With 20 s left in the game, the Bruins pull the goalie and have him play as a forward in an attempt to tie the game. The Flyers successfully defend their goal for 9 s. With only 1.25 s remaining on the game clock, a Flyer shoots the puck on the ice past the skates and sticks of the other players and toward the Bruins' goal. The puck is 37 m from the goal when it leaves the stick with an initial horizontal velocity of 30 m/s. The shot is perfectly directed toward the empty goal, but the ice slows the puck down at a constant rate of 0.50 m/s2 as it slides toward the goal. None of the Bruins can stop the puck before it reaches the goal.
A. Where is the puck when the game clock reaches zero and the horn sounds to end the game?
B) Do the flyers win the game by 1 or 2 points?
Answer:
A
\(k = 0.11 \ m \) beyond the goal post
B
Given that the goal was score against the Bruins it then means that the Flyer won the game with 2 points
Explanation:
From the question we are told that
The amount of time left in the game is \(t = 20 \ s\)
The amount of time the goal was defended is \(t_1 = 9 \ s\)
The time remaining when the shot was made is \(t_2 = 1.25 \ s\)
The distance of the pluck from the goal is \(d = 37 \ m\)
The initial velocity of the pluck is \(u = 30 \ m/s\)
The acceleration of the pluck is \(a = -0.50 \ m/s^2\)
Generally the distance travel at the remaining time is mathematically represented as
\(D = u * t _2 + \frac{1}{2}* a* t_2\)
\(D = 30 * 1.25 - \frac{1}{2}* 0.50* 1.25^2\)
\(D = 37.11 \ m \)
So the position of the pluck when the game clock reaches zero is
\(k = D - d\)
=> \(k = 37.11 - 37\)
=> \(k = 0.11 \ m \) beyond the goal post
Given that the goal was score against the Bruins it then means that the Flyer won the game with 2 points
At Orrington, the Penobscot flows with an average speed of 40cm/s, the average depth of is 3m and width is 40m and the mercury concentration is 0.002mg/l.
What is flux of mercury there in g/min?
Answer:
The flux of mercury at Orrington is 0.48 g/min. This is calculated by multiplying the average speed (40 cm/s) by the average depth (3 m) by the width (40 m) by the concentration (0.002 mg/l) and then converting to g/min by multiplying by 1000.
Ann and Bob are pushing opposite sides
of a door with I = 10.5 kg-m2. Ann
pushes 34.8 N at 0.732 m from the axis,
while Bob pushes 59.6 N at 0.300 m,
both perpendicular to the door. What is
the angular acceleration?
The angular acceleration of the door is approximately 0.723 rad/s^2.
How to solve this problemFirst we can use the equation for torque:
torque = force * lever arm
where
torque is the net torque acting on the doorforce is the force applied by each person, and lever arm is the distance from the axis of rotation to the point where the force is appliedThe net torque causes angular acceleration of the door, which is related to torque by the equation:
torque = moment of inertia * angular acceleration
Where moment of inertia is a measure of how difficult it is to change the rotational motion of the door.
In this case, we can calculate the net torque on the door as the sum of the torques due to Ann and Bob:
torque_net = torque_Ann + torque_Bob
where
torque_Ann = force_Ann * lever_arm_Anntorque_Bob = force_Bob * lever_arm_BobSubstituting the given values, we have:
torque_Ann = 34.8 N * 0.732 m = 25.46 N·m
torque_Bob = 59.6 N * 0.300 m = 17.88 N·m
torque_net = 25.46 N·m - 17.88 N·m = 7.58 N·m
Next, we can calculate the moment of inertia of the door, using the given value:
moment of inertia = I = 10.5 kg-m^2
Finally, we can use the equation for angular acceleration to solve for the unknown:
torque_net = moment of inertia * angular acceleration
Solving for angular acceleration, we get:
angular acceleration = torque_net / moment of inertia
Substituting the previously calculated values, we have:
angular acceleration = 7.58 N·m / 10.5 kg-m^2
≈ 0.723 rad/s^2
Therefore, the angular acceleration of the door is approximately 0.723 rad/s^2.
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If a force is applied when using a lever over 2 meters to move the object 1 meter, the distance over which the force is applied is called the _____.
The distance over which the force is applied when using a lever is called the effort distance.
What is force?Force is defined as the rate of change of momentum.
Here,
The distance over which the force is applied when using a lever is called the effort distance. It refers to the distance between the point where the effort is applied and the fulcrum of the lever. In the case we described, where a force is applied when using a lever over 2 meters to move an object 1 meter, the effort distance would be 2 meters. The load distance, on the other hand, refers to the distance between the fulcrum and the point where the load is applied. Understanding the relationship between the effort and load distances is crucial to determining the mechanical advantage of a lever system.
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Find the measure of arc CD (round to the nearest degree).
1.31 m
0.5 m
The measure of arc CD is
The measure of arc CD (round to the nearest degree) is 150 degress
How do i determine the measure of arc CD to the nearest degree?The following data were obtained from the question:
Radius (r) = 0.5 cmLength of arc CD = 1.31 mMeasure of arc CD (θ) =?Length of arc = 2πr × (θ / 360)
Inputting the given parameters, we can obtain the measure of arc CD as follow:
1.31 = (2 × 3.14 × 0.5) × (θ / 360)
1.31 = (3.14 × θ) / 360
Cross multiply
3.14 × θ = 1.31 × 360
3.14 × θ = 471.6
Divide both sides by 3.14
θ = 471.6 / 3.14
θ = 150 °
Thus, we can conclude that the measure of arc CD is 150 °
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Complete question:
See attached photo
5. A tennis player hits a ball when it is at a height of 1.1 meters above the court, giving it a velocity of 12 m/s at an angle of 22° above the horizontal towards the net. The net is 1.81 meters high and stands 2.6 meters from the player.
a) Show that the ball will just pass over the net.
b) Find when and where the ball hits the ground.
According to the information, the ball will just pass over the net (question A); and the ball hits the ground approximately at 7.04 meters from the player and after a time of flight of approximately 1.31 seconds (question B).
How to determine if the ball will clear the net?To determine if the ball will clear the net, we compare the vertical displacement of the ball with the net height. The ball's initial height is 1.1 meters, and it reaches its highest point during flight. By calculating the trajectory, we can confirm that the ball's vertical displacement at its highest point will be higher than the net height of 1.81 meters, ensuring it clears the net.
How to find when and where the ball hits the ground?To find when and where the ball hits the ground, we need to calculate the time of flight and horizontal displacement. Using the given initial velocity and angle, we can determine the time it takes for the ball to reach the ground. By calculating the horizontal displacement based on the initial horizontal velocity and total time of flight, we find that the ball hits the ground approximately 7.04 meters from the player. The time of flight is approximately 1.31 seconds. The specific values may vary depending on the given initial conditions.
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A freight car moves along a frictionless level railroad track at constant speed. The freight car is open on top. A large load of coal is suddenly dumped into the car. What happens to the speed of the freight car
Answer:
The speed of the freight car decreases.
Explanation:
According to the law of conservation of momentum indicates that for colliding in an isolated system, the total momentum pre and post collision is same for the two objects this is done because the momentum that one item has lost is same for the momentum that the other received
In the given situation, the freight car travels at constant speed along a frictionless railroad line. The top floor freight car is open. Then a huge load of coal is dumped inside the car.
Therefore the speed of the freight car decreased by applying the law of conservation of momentum i
what are two things needed for acceleration
Answer:
Velocity and Time
Explanation:
I googled it-
A bicyclist is being towed by a car in hopes of jumping over a building. If the building is 7 meters tall, what is the minimum speed needed?
The minimum speed needed by the bicyclist is 11.71m/s.
How to calculate speed?Speed in physics refers to the rate of motion or action, specifically the magnitude of the velocity i.e. the rate distance is traversed in a given time.
The speed can be calculated using one of the equations of motion as follows:
v² = u² + 2as
Where;
v and u are final and initial speed respectivelya is the acceleration s is the distanceAccording to this question, a bicyclist is being towed by a car in hopes of jumping over a building. If the building is 7 meters tall, the speed can be calculated as follows:
v² = 0² + 2(9.8)(7)
v² = 137.2
v = √137.2
v = 11.71m/s
Therefore, the minimum speed required is 11.71m/s.
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A net force of 32 N acting upon a wooden block produces an acceleration of 4.0 m/s2 for the block. What is the mass of the block?
The mass of the block is 8 kg.
StepsWhen the force exerted on an item and its acceleration are known, the mass of the object can be calculated using the formula
mass = force/acceleration.
It is derived from the second law of motion, which states that an object's acceleration is inversely proportional to its mass and directly proportional to the force acting on it. So, using this formula, we can determine an object's mass if we know its force and acceleration.
We can use the formula:
F = ma
where F is the net force, m is the mass of the block, and a is the acceleration.
We know that the net force is 32 N and the acceleration is 4.0 m/s². Substituting these values into the formula, we get:
32 N = m × 4.0 m/s².
Solving for m, we divide both sides of the equation by 4.0 m/s².
m = 32 N / 4.0 m/s².
m = 8 kg
Therefore, the mass of the block is 8 kg.
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What is the electric potential energy of the group of charges in the figure? (Figure 1)
that the relative placements of the charges as well as their multiples affect a set of ions' potential energy. When the specific charge have the same sign or have equal signs, the energy is positive. Or else, it is negative.
How is potential energy calculated?The force acting just on two objects affects the potential energy formula. The formula for gravitational force is P.E. (= mgh, where g seems to be the acceleration caused by gravity (9.8 m/s2 at the earth's surface) while h represents the elevation in metres.
What is a system with two charges' potential energy?As a result, the system's potential energy equals the sum of a work that was done to set up the entire system of two counts. The potential energy that exists in the combination of two charges in such an external field can be stated as follows: q1V(r1) = q2V(r2) + (q1q2/4or12).
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Input. Output and storage devices are part of a computer hardware.
O True
O False
2. A student walks 3 blocks East, 2 blocks North, 1 block West, and then 2 blocks
South.
a) What is the total distance traveled?
Answer:
8 blocks.
Explanation:
Given that,
A student walks 3 blocks East, 2 blocks North, 1 block West, and then 2 blocks South.
We need to find the total distance traveled by the student. The distance covered by an object is equal to the sum of the total path covered. So,
Distance = 3 blocks + 2 blocks + 1 block + 2 blocks
= 8 blocks
So, the distance traveled by the block is 8 blocks.
what exercises most beneficial for your overall health
Answer:
Endurance, or aerobic
Strength, or resistance training
Balance
Flexibility
Explanation:
Answer:
Walking. Walking is simple, yet powerful. It can help you stay trim, improve cholesterol levels, strengthen bones, keep blood pressure in check, lift your mood, and lower your risk for a number of diseases (diabetes and heart disease, for example).
Activities:
1. Name the instrument that is used to measure Air Pressure.
2.Explain what is Cyclone and Anticyclone
Answer: barometer.
A cyclone is a storm or system of winds that rotates around a center of low atmospheric pressure. An anticyclone is a system of winds that rotates around a center of high atmospheric pressure.
When a parachute opens, the air exerts a large drag
force on it. This upward force is initially greater than
the weight of the sky diver and, therefore, slows him down. The mass of the sky diver is 82.0 kg and the drag force has a magnitude of 850 N. What are the
magnitude and direction of his acceleration?
The skydiver is accelerating upward with an upward orientation with an acceleration of 0.556 m/s².
What is acceleration?The pace at which a speed changes over time is called acceleration. In other words, it is a measurement of how quickly an object's velocity alters. It is a vector quantity with a direction and magnitude.
Finding the net force affecting the skydiver can be our first step. The vector sum of all forces acting on the skydiver is known as the net force. Weight and drag force are the two forces at play here as they affect the skydiver.
The skydiver's weight is determined by:
Weight= mass x acceleration due to gravity
Weight: 82.0 kg x 9.81 m/s² (acceleration due to gravity)
Weight= 804.42 N
The skydiver is under the following net force:
net force = weight - drag force
850 N - 804.42 N = Net force
45.58 N of net force (upwards)
The skydiver will accelerate upwards since the net force is upward. The magnitude of the acceleration can be determined by applying Newton's second law of motion:
Net force is calculated as follows:
Net force = mass x acceleration
45.58 N = 82.0 kg x acceleration
Acceleration = 0.556 m/s².
As a result, the skydiver is accelerating upward with an upward orientation with an acceleration of 0.556 m/s².
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The index of refraction of quartz is anisotropic. Suppose that visible light is passing from one grain to another of different crystallographic orientation and at normal incidence to the grain boundary. Calculate the reflectivity at the boundary if the indices of refraction for the two grains are 1.545 and 1.555 in the direction of light propagation. Enter your answer in accordance to the question statement
Answer:
1.04*10⁻⁵
Explanation:
light wave do showcase some behaviors whenever there is encounters with the end of the medium, some of the behaviors are - reflection, refraction, as well as diffraction. When visible light wave strikes a boundary that exist two different media, a portion of the energy will be transmitted into the new medium and some reflected.
Reflection of a light wave can be regarded as bouncing off of light wave from boundary. refraction on other hand is bending of the path of a light wave.
We were to calculate the reflectivity at the boundary,
reflectivity at the boundary can be calculated using the expression below
Reflectivity= (n₂ - n₁)² /(n₂ + n₁ ) ²
where
n₁= Indices of refraction at first grain= 1.545
n₂= Indices of refraction at second grain=
1.555
(1.555 - 1.545)² / (1.555 - 1.545)²
=(0.01)²/ (3.1)²
= 0.0001/ 9.61
= 1.04*10⁻⁵
Hence, the reflectivity at the boundary if the indices of refraction for the two grains are 1.545 and 1.555 in the direction of light propagation is 1.04*10⁻⁵
The universe could be considered an isolated system because (2 points)
A: many people think that no energy or matter exists outside the universe
B: energy and matter are created in the universe and flow freely into and out of the universe
C: energy is created outside the universe and matter is created within the universe
D: energy is created in the universe and matter is transferred out of the universe
If the friction force between layers in fluid is dependent on gradient of velocity, area of layer and viscosity coefficient of fluid by using the theory of the dimensions estimate the relation.
The characteristics of the surfaces in contact determine the coefficient of static frictional force. It doesn't depend on how big the surfaces are. Depending on the fluid gradient in velocity between fluid layers.
What viscosity means?It speaks of the friction force of a fluid in motion. A fluid with high viscosity resists motion due of high internal stress created by its molecular structure. In cold conditions, low-viscosity oils help the motor begin more quickly by reducing friction between engine components. Elevated oils, on the other hand, retain the strength and thickness of the film.
How come viscosity is measured?Measurements of viscosity are utilized in the grocery business to increase productivity and cost effectiveness. It has an effect on how quickly a substance moves through a pipe, what it takes to set or dry, and also how quickly the fluid is dispensed into packaging.
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With a force of 200 N a body is lifted 20 meters in 20 seconds. Calculate the weight of this body. Use the formula for distance as a function of acceleration with initial velocity equal to zero.
Answer:
The weight of the body is 3,924 N.
Explanation:
To solve this problem, we can use the formula for distance as a function of acceleration with initial velocity equal to zero:
distance = (1/2) x acceleration x time^2
We know that the distance the body is lifted is 20 meters, the time taken is 20 seconds, and the force applied is 200 N. We can use this information to calculate the weight of the body.
First, we need to calculate the acceleration:
distance = (1/2) x acceleration x time^2
20 = (1/2) x acceleration x (20)^2
acceleration = 0.5 m/s^2
Now that we know the acceleration, we can use the formula for weight:
force = mass x acceleration
We can rearrange this formula to solve for mass:
mass = force / acceleration
mass = 200 N / 0.5 m/s^2
mass = 400 kg
Finally, we can calculate the weight of the body using the formula:
weight = mass x gravity
Assuming a standard acceleration due to gravity of 9.81 m/s^2, we can calculate the weight:
weight = 400 kg x 9.81 m/s^2
weight = 3,924 N
Therefore, the weight of the body is 3,924 N.
The weighted rod floats with 6 cm of its length under water (density = 1000kg/m³). What length is under the surface when the rod floats in brine (density = 1200 kg/m³)
The length is under the surface when the rod floats in brine is 4 cm .
This is done by Archimedes principle.
What is Archimedes principle ?The upward buoyant force exerted on a body immersed in a fluid, whether partially or fully submerged, is equal to the weight of the fluid that the body displaces and acts in the upward direction at the displaced fluid's center of mass.
The Archimedes law, discovered by Archimedes of Syracuse in Greece, determines the value of thrust force. When an object is immersed in a liquid, the apparent weight loss is equal to the weight of the liquid displaced by it.
using formula
Apparent weight= Weight of object (in the air) – Thrust force (buoyancy)
F = ρ x g x V
F is force
ρ = density
V = volume
g = gravity
Archimedes' principle states that the weight loss is equal to the weight of liquid displaced by the object.
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How much time is required for a car engine to do 278 kJ of work, if its maximum power is 95 kW?
W= work = 278 kj
P = Power = 95 Kw
t= time
P = W / t
Isolate t
t = W /P
Replacing:
t= 278kj / 95Kw = 2.93 seconds
It is required 2.93 seconds
2. For electric circuit shown in Figure find currents in each resistor.
The current flowing in the 2Ω and 1Ω is 1.14 A and the current flowing in the 3Ω and 4Ω is 0.286 A.
What is the current flowing in each resistor?The value of the current in each resistor is calculated by applying Kirchoff voltage law as follows;
The total voltage in loop 1 is calculated as;
2 + 4 - I₁R₁ - (I₁ - I₂)R₂ - I₁R₃ = 0
6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0
The current flowing in loop 2 is calculated as;
I = V/R
I₂ = ( 6 V - 4 V ) / (3 + 4)
I₂ = 0.286 A
The value of the current flowing in loop 1 is calculated as;
6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0
6 - 2I₁ - 3(I₁ - 0.286) - 1₁ = 0
6 - 3I₁ - 3₁ + 0.858 = 0
-6I₁ = -6.858
I₁ = 6.858 / 6
I₁ = 1.14 A
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What is the index of refraction of a material
in which the speed of light is 1.44 × 108 m/s?
X
Answer: 14.86
Explanation:
a thin 0.100-kg k g rod that is 310 mm m m long has a small hole drilled through it 77.5 mm m m from one end. a metal wire is strung through the hole and fixed horizontally, and the rod is free to rotate about the wire and to oscillate. part a determine the rod's rotational inertia i i about this axis.
The rod's rotational inertia I about this axis is 3.1762 × 10⁻³ kg.m² while the period of time οf rod's oscillation is 0.8797s.
What is the definition of mass?It turned out that different atοms and different elementary particles have different masses with theοretically the same amount of matter. Mass has many conceptually different but physically equivalent definitions in mοdern physics. Mass can be defined experimentally as a measure of a bοdy's inertia, which is its resistance to acceleration (change in velocity) when a net fοrce is applied.
Given that
Mass of the rοd is m =0.200kg
Length of the rοd (L) =330mm
=0.330m
Now the center οf mass to the hanging point is
d =\(\mathrm{\dfrac{330mm}{2} -82.5mm}\)
=165mm-82.5mm
=82.5mm
=0.0825m
a)Now the mοment of inertia of the rod about the axis is
I = Icm+md²
I = mL²/12 + md²
= (0.200)(0.330)2/12 + (0.200)(0.0825)2
= 1.815 × 10 -3 + 1.3612 × 10⁻³
= 3.1762 × 10⁻³ kg.m²
b) Now the time periοd of the rod's oscillations is given by
T = 2π × √(I/mgd)
\($ \mathrm{ =2 \times 3.14 \times \sqrt{ \frac{ 3.1762 \times 10^{-3} \ kg.m^2} { 0.200\ kg\times 9.81\times 0.0825} }}\)
= 0.8797s
Thus, The rod's rotational inertia I abοut this axis is 3.1762 × 10⁻³ kg.m² while the period οf time of rod's oscillation is 0.8797s.
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Complete question:
How does rainwater contribute to aquatic succession
Answer:
Rain water carries sediment and then these accumulate on the bottom of ponds, lakes and wetlands. This accumulation build up over time and eventually, the water disappears (because they sink into the ground) and the area once covered with water becomes land.
How long( in hours, will it take for 500 000 C of charge to flow through a diode if it requires
0.05 Amp to operate it.
Answer:
277.78 hours
Explanation:
The formula for calculating the amount of charge is expressed as;
Q = It
I is the current
t is the time
Given
I =0.05A
Q = 50,000C
Required
Time t
Recall that: Q = It
t = Q/I
t = 50,000/0.05
t = 1,000,000secs
Convert to hours
1,000,000secs = 1,000,000/3600
1,000,000secs = 277.78 hours
Hence it will take 277.78 hours for the charge to flow through the diode
The general gas law can be written as