The potential difference comes out to be
[tex]10 \times 10 {}^{ - 3} m[/tex]
Given:
σ = 8. 85 × 10-9 c/m2
we know,
[tex]E = \frac{σ}{2ε0}[/tex]
[tex]E = \frac{8.85 \times 10 {}^{ - 9} }{2ε0}[/tex]
[tex]E = \frac{v}{d} [/tex]
given the potential difference between two equipotential surface=5v
E=∆v
∆d=∆v/E
[tex] = \frac{5 \times 8.85 \times 10 { }^{ - 12} \times 2 }{8.85 \times 10 {}^{ - 9} } [/tex]
[tex]Δ = 10 \times 10 {}^{ - 3} m[/tex]
Thus the potential difference is
[tex]10 \times 10 {}^{ - 3} m[/tex]
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What is the energy of a photon given that the radiation has a wavelength of 440 nm?
The energy of a photon given that the radiation has a wavelength of 440 nm will be .045 * [tex]10^{-17}[/tex] J
A photon is the quantum of electromagnetic radiation that describes the particle properties of an electromagnetic wave. The energy of a photon is given by the equation E = hf, where E is energy, h is Planck's constant, and f is frequency.
Forms of electromagnetic radiation like radio waves, light waves or infrared (heat) waves make characteristic patterns as they travel through space. Each wave has a certain shape and length. The distance between peaks (high points) is called wavelength
Energy = h*c / lambda
h= plank's constant = 6.626 * [tex]10^{-34}[/tex] J
c = speed of light = 3 * [tex]10^{8}[/tex] m/s
lambda = wavelength = 440 nm = 440 * [tex]10^{-9}[/tex] m
energy of a photon = 6.626 * [tex]10^{-34}[/tex] * 3 * [tex]10^{8}[/tex] / 440 * [tex]10^{-9}[/tex]
= 19.878 * [tex]10^{-26}[/tex] / 440 * [tex]10^{-9}[/tex]
= .045 * [tex]10^{-17}[/tex] J
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An object having a fixed emissivity of 0. 725 radiates heat at a rate of 10 w when it is at an absolute temperature t. If its temperature is doubled to 2t. At what rate will it now radiate?.
160 W rate it will radiate.
What, using an example, is absolute temperature?The Kelvin scale, where 0 represents absolute zero, is used to measure absolute temperature. The temperature at which matter's particles move the least and cannot cool down is known as the zero point (minimum energy)
What is the temperature's absolute value?The lowest energy state for a thermodynamic system is absolute zero. In terms of temperature, it is equivalent to 459.67 °F in Fahrenheit and 273.15 °C in Celsius.
Why is absolute temperature used?The temperature of an object on a scale where 0 is assumed to be absolute zero is known as its absolute temperature, also known as thermodynamic temperature. The Kelvin and Rankine scales measure absolute temperature.
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Will a beam of light that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a result of the transition into water?.
When a beam of light that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a result of transition into water--------It does not deflect , the light direction will not change.
What happens to light when it passes through air?
All materials have what is known as an index of refraction, which is linked to how fast light can travel through the material. As light passes through air and into another clear material (such as glass), it changes speed, and light is both reflected and refracted by the glass.
How does light travel through air and water?
When light travels from air into water, it slows down, causing it to change direction slightly. This change of direction is called refraction. When light enters a more dense substance (higher refractive index), it 'bends' more towards the normal line.
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Identify the saturation pressure corresponding to 32 degrees fahrenheit for r - 123
Hg vacuum at 20 inches is the saturation pressure that corresponds to 32 degrees Fahrenheit of R-123.
To find the answer, we need to know more about the saturation pressure.
What is saturation pressure?The saturation pressure is the pressure at which a vapor is in equilibrium with its liquid (such as steam with water).It is the highest pressure that water vapor can get at a particular temperature.R-123 refrigerant is probably hard to find these days. It was discovered that chlorine-containing refrigerants have the potential to actively harm the Ozone layer if they are released into the atmosphere.The saturation pressure that corresponds to 32 degrees Fahrenheit of R-123 is 20 inches Hg vacuum.Thus, we can conclude that, Hg vacuum at 20 inches is the saturation pressure that corresponds to 32 degrees Fahrenheit of R-123.
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determine the voltage of the diagram in the image
Answer:
total voltage is 9 V is the correct answer of given question
Mercury at 25°c flows over a 3-m-long and 2-m-wide flat plate maintained at 75°c with a velocity of 0. 01 m/s. Determine the rate of heat transfer from the entire plate?
The rate of heat transfer from the entire plate is 710.8 kW
The properties of mercury at the film temperature of (75+25)/2= 50°C
k = 8.83632 W/m °C
v = 1.056 × [tex]10^-^7[/tex] m²/s
Pr = 0.0223
The local Nusselt number relation for liquid metals is given by
[tex]N_u =\frac{h_sx}{k} = 0.565 9Re_x Pr)^\frac{1}{2}[/tex]
The average heat transfer coefficient for the entire surface can be determined from
[tex]h = \frac{1}{L} \int\limits^1_0 {h_x} \, dx[/tex]
Substituting the local Nusselt number relation into the above equation and performing the integration we obtain
[tex]N_u = 1.13 (Re_s Pr)^\frac{1}{2}[/tex]
The Reynolds number is
[tex]Re_L = \frac{VL}{v} = \frac{(0.01)(3m)}{1.056 * 10^-^7 m^2/s} = 0.028 * 10^7[/tex]
Using the relation for the Nusselt number, the average heat transfer coefficient and the heat transfer rate are determined to be
Q = 710.8 kW
Therefore, the rate of heat transfer from the entire plate is 710.8 kW
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In a similar rolling race (no slipping), the two objects are a bowling ball and a circular hoop of unknown masses and radii. which reaches the bottom first?
The bowling ball reaches the bottom first.
Bowling ballIn the game of bowling, a bowling ball is a tough, spherical ball used to knock down bowling pins. The customary holes in ten-pin bowling and American nine-pin bowling balls are for the thumb and two other fingers. Five-pin bowling, candlepin bowling, duckpin bowling, and European nine-pin bowling all use balls with no holes that can fit comfortably in the palm of the hand. Ball motion and how it affects scoring are influenced by a complicated interplay of many different factors. The delivery of the bowler, the construction of the bowling ball, and the state of the lane can all be considered as contributing variables.
In a similar rolling race (no slipping), the two objects are a bowling ball and a circular hoop of unknown masses and radii. which reaches the bottom first?
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When a Celsius thermometer is inserted in a boiling liquid, the mercury thread
rises above the lower fixed point by 19.5cm. Find the temperature of boiling
liquid if the fundamental interval is 25cm.
The temperature of boiling liquid will be 78°C.
To find the correct answer, we need to know about the upper and lower fixed points of the thermometer.
How to find the temperature of boiling liquid?The lower fixed point is measured by the melting temperature of pure water.Given that, the fundamental interval is 25cm, which is the separation between the upper and lower fixed points.We have the equation for the temperature as,[tex]T=\frac{x-x_0}{x_{100}-x_0} *100[/tex]
where,
[tex]x=[/tex] length of liquid at T temperature = 19.5cm.
[tex]x_0=[/tex] length of liquid thread at ice point = 0°C
[tex]x_{100}=[/tex] length of liquid thread at steam point = 25 cm.
Substituting values, we get,[tex]T=\frac{19.5-0}{25-0}*100\\ T=0.78*100=78^0C[/tex]
Thus, we can conclude that, the temperature of boiling liquid will be 78°C.
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The helium-neon lasers most commonly used in student physics laboratories have average power outputs of 0. 250 mw. True or false?.
True
The helium-neon lasers most commonly used in student physics laboratories have average power outputs of 0. 250 mw
Intensity of laser beam is 72.3W/m²
Given:
average power output = 0. 250 mw
To Find: intensity of laser beam
Solution:First of all, we need to find the area of the circular spot, which is given by:
A = πr^2
where r is the radius of the spot, which is half the diameter, therefore
r = d/2 = 2.10mm/2 = 1.05mm = 1.05 x 10^-3m
So, the area of the spot is
A = π(1.05 10^-3m)^2 = 3.46 10^-6m²
We know that the power output of the laser is
P = 0.250mW = 2.5.10^-4W
So the intensity of the laser beam is
I = P/A = 2.5^-10 W/3.46-10^-6m^2 = 72.3W/m²
So, intensity of laser beam is 72.3W/m²
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WORD BANK:
base, derived, scalar, vector
1.) Displacement is ___ and ___
2.) Acceleration due to gravity is ___ and ___
3.) Position is ___ and ___
4.) Speed is ___ and ___
5.) Time is ___ and ___
Answer:
1. Vector, base
2. Vector, derived
3. Vector, ?
4. Scalar, derived
5. scalar, base
What did the author mean when he said that summer storms can ""snap"" a heat wave? why was the word snap used?
The word snap was utilized on the grounds that mid year tempests can end heat waves rapidly by acquiring colder temperatures.
why was the word snap used?Sweltering summer heat waves are on the ascent across the Northern Hemisphere. The ascent is being driven by changes in the air prodded by a warming Arctic, new exploration shows.
Researchers call this cycle the nursery impact. The gases that retain the approaching sun based radiation are called ozone harming substances. Consequently, the nursery impact helps in keeping up with the temperature of Earth during summers and winters.
Researchers arrived at that resolution in the wake of analyzing 35 years of climate information. They detected a decrease in the strength of summer storms. These tempests get welcome alleviation to northern landmasses the type of cool, clammy air.
Wind design changes welcomed on by the quickly warming Arctic debilitated summer storms. The scientists depicted their discoveries online March 13 in Science.
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Answer:
The word snap was used because summer storms can end heat waves very quickly by bringing in colder temperatures.
Explanation:
Edmentum answer
What is the total mass of the earth's atmosphere? (the radius of the earth is 6.4 ´ 106 m, and atmospheric pressure at the surface is 105 n/m2.)
The total mass of the earth's atmosphere is 5×[tex]10^{8}[/tex] kg.
How do you calculate the total mass of the earth's atmosphere ?To calculate the total mass of the earth's atmosphere we use the expression
[tex]P=\frac{F}{A}[/tex]
or, [tex]F=P\times A[/tex]
or,[tex]M\times g=P\times A[/tex]
or,[tex]M=\frac{P\times 4\times \pi\times r^{2} }{g}[/tex]
Here, P= Atmospheric pressure at the surface = [tex]10^{5}[/tex] N/m2
F= Force at the earth surface.
A= Area of the earth.
r= Radius of the earth=6.4 × [tex]10^{6}[/tex] m
g= Acceleration due to gravity. = 9.8 m/s2 ≈ 10 m/s2
Let, M be the total mass of the earth's atmosphere.
Now, [tex]M=\frac{10^{5}\times4\times\pi\times(6.4\times10^{6} )^{2} }{10}[/tex]
M= 5×[tex]10^{8}[/tex] kg.
Thus from the above calculation we can show that, the total mass of the earth's atmosphere is 5×[tex]10^{8}[/tex] kg.
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The astronomer who first worked out the mathematical description of black hole event horizons was?
Karl Schwarzschild devised the first general relativity model that would adequately describe a black hole in 1916.
What is Black Hole?
A black hole is an area of spacetime with such intense gravitational pull that nothing can escape from it, not even light or other electromagnetic waves. According to general relativity theory, a compact enough mass can bend spacetime into a black hole. The event horizon is the line beyond which there is no escape.
Black holes were once thought to be a mathematical curiosity, but theoretical research in the 1960s revealed that they were actually a general prediction of general relativity.
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Given that ethylene has a λmax of 175nm, butadiene has a λmax of 220nm, and 2-methyl-1,3-butadiene has a λmax or 215nm, what is the λmax of 2,3,4-trimethylhexatriene?
The λmax of 2,3,4-trimethylhexatriene is 280 nm.
Ethylene has a λmax of 175nm.
Butadiene has a λmax of 220nm.
2-methyl-1,3-butadiene has a λmax or 215nm.
1,3,5-hexatriene has a λmax of 258nm.
Woodward's rules, sometimes known as Woodward-Fieser rules (after Louis Fieser) and named after Robert Burns Woodward, are a number of sets of empirically developed principles that aim to forecast the wavelength of the absorption maximum (max) in an ultraviolet-visible spectrum of a certain molecule.
By using the Woodward Fieser rule,
R- (Alkyl Group) .... +5 nm = 5 × 2 = 10
RO- (Alkoxy Group) .. +6 = 6 × 2 = 12
Adding 22nm to the λmax of 1,3,5-hexatriene as it has 2 alkyl groups and 2 alkoxy groups to form 2,3,4-trimethylhexatriene.
The λmax of 2,3,4-trimethylhexatriene is 280 nm.
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For a reaction that follows the rate law of, rate = k[b]2 when [a] = 0.15 m, [b] = 0.12 m, the rate is 3.4 10−3 m s−1. what is the value and unit of rate constant k?
The value and unit of rate constant k are 1.61[tex]M^{-1} S^{-1}[/tex]
The rate law of a reaction correlates the concentration of reactants with the rate of the reaction. The rate of a reaction is always proportional to the concentration of reactants. Hence, a proportionality constant (called as the rate constant) is always present in the rate law.
Rate = k [tex][A][B]^{2}[/tex]
Rate = k [tex][0.15][0.12]^{2}[/tex]
3.4×[tex]10^{-3}[/tex] = k 0.0021
k = 1.61[tex]M^{-1} S^{-1}[/tex]
Therefore, the value and unit of rate constant k are 1.61[tex]M^{-1} S^{-1}[/tex]
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A 1200 kg car passes traffic light at a velocity of 10.2 m/s to the north and accelerates at a rate of 2.45 m/s^2. Calculate the car’s momentum after 4.21 s.
The car’s momentum after 4.21s is 24617.4 kgm/s
Newton's Second Law of Motion.Newton's second law state that, the rate of change of momentum, is directly proportional to the applied force.
Given that a 1200 kg car passes traffic light at a velocity of 10.2 m/s to the north and accelerates at a rate of 2.45 m/s^2. To calculate the car’s momentum after 4.21 s, Let us first list all the parameters involved.
Velocity u = 10.2 m/sAcceleration a = 2.45 m/s²Mass m = 1200KgTime t = 4.21 sFrom Newton's second law,
F = (mv - mu) / t
ma = (mv - mu) / t
Substitute all the parameters into the formula above.
1200 × 2.45 = ( mv - 1200 × 10.2 ) / 4.21
2940 = ( mv - 12240 ) / 4.21
Cross multiply
12377.4 = mv - 12240
Make mv the subject of the formula
mv = 12377.4 + 12240
mv = 24617.4 kgm/s
Therefore, the car’s momentum after 4.21s is 24617.4 kgm/s
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Compute the torque developed by an industrial motor whose output is 175 kw at an angular speed of 4300 rev/min.
The torque developed by an industrial motor whose output is 175 kw at an angular speed of 4300 rev/min will be 389 Nm.
Given
Power = 175kw = 17500 WAngular Speed(ω) = 4300 rev/min = 450 rad/sLet Torque = т
P = т * ω
т = P/ ω
т = 17500 / 450 = 388.88 Nm (approx. 389 Nm)
Hence , the torque developed by an industrial motor whose output is 175 kw at an angular speed of 4300 rev/min will be 389 Nm.
In physics and mechanics, torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study. It represents the capability of a force to produce change in the rotational motion of the body.
We can define power as the rate of doing work, it is the work done in unit time. The SI unit of power is Watt (W) which is joules per second (J/s). Sometimes the power of motor vehicles and other machines is given in terms of Horsepower (hp), which is approximately equal to 745.7 watts.
Angular speed is the speed of the object in rotational motion.
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An object having a fixed emissivity of 0. 725 radiates heat at a rate of 10 w when it is at an absolute temperature t. If its temperature is doubled to 2t, at what rate will it now radiate?.
It now radiates at a rate of 160 W.
Emissivity: What is it?The ratio of the energy emitted from a material's surface to the energy emitted from a blackbody, a perfect emitter with the same temperature, wavelength, and viewing conditions. It is a dimensionless number between 0 (for the ideal reflector) and 1. (for a perfect emitter).
What is emissivity and why is it significant?Emissivity, which measures a material's capacity to emit infrared energy from its surface, is a crucial component of the ability to accurately measure temperature using either an infrared temperature sensor or a thermal imaging camera.
What materials have a high emissivity?In addition to the material, a surface's emissivity also depends on the type of surface. In contrast to a roughened and oxidized metal surface, which will have a high emissivity, a clean and polished metal surface will have a low emissivity.
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A force of 100 N to the east and a force or 100 N to the west both act on an object of 10 kg. What is the acceleration of the object?
A. 10 m/s2 to the east
B. 100 m/s2 to the west
C. 0 m/s2, it does not accelerate
D. 100 m/s2 to the east
Answer:
C, it doesnt accelerate
Explanation:
F=ma
F = 100 east + 100 west
F = 100 east + (-100 east)
F = 0
0 = ma
in order to isolate acceleration, we would be dividing 0 by mass, which would equal 0
A 3. 5-a current is maintained in a simple circuit with a total resistance of 1500 ω. What net charge passes through any point in the circuit during a thirty second interval?.
Electric Current:
Electric current is the flow of charge through a given circuit per unit time. Electric current is one of the components needed to calculate the electric power that a device needs to operate and do work. Electric current is measured in amperes (A), which is equal to:
1A = 1 C/ s
Recall that the coulomb (C) is the unit for charge while the second (s) is the unit for time
Given: I = 3.5
A is the current
Δt =30 s is the time interval
A =ΔQ/ΔT
Net charge = 100C
Electricity is produced when an electric current runs through a circuit.
How does electric current work?
A current of electricity is a steady flow of electrons. When electrons move from one place to another, round a circuit, they carry electrical energy from place to place like marching ants carrying leaves. Instead of carrying leaves, electrons carry a tiny amount of electric charge.
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If the pressure on a gas is increased, then its volume will decrease because the gas molecules will be pushed closer together. did the data support the hypothesis (above)? justify your answer.
Boyle's Law
As weight was added to the top of a syringe, the volume of the air trapped in the syringe decreased. The weight and the surface area of the plunger were used to calculate pressure. As more weight was added, the pressure increased. The volume decreased in response.
What is Boyle's law ?As the pressure on a gas increases, the volume of the gas decreases because the gas particles are forced closer together. Conversely, as the pressure on a gas decreases, the gas volume increases because the gas particles can now move farther apart
A contained gas's pressure will rise when its volume is reduced, and fall when its volume is increased. In actuality, the pressure reduces by the same factor as the volume increases, and vice versa.Learn more about Boyle's law here:
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Answer:yes
Explanation:
Sample Justification: As weight was added to the top of a syringe, the volume of the air trapped in the syringe decreased. The weight and the surface area of the plunger were used to calculate pressure. As more weight was added, the pressure increased. The volume decreased in response.
then
yes and yes
The human body has an average density of 979 kg/m^3. What fraction of a person is submerged when floating gently in fresh water?
A person is submerged of about 97.9%
The average density of the human body is given as
[tex]979kg/m {}^{3} [/tex]
What is Law of Floating?
Law of floating can be defined as the volume of the liquid
displaced when a body floats on the liquid surface is equal to the body submerged in water.
As body has the stable equilibrium state,the buoyant of the fluid will be equal to the weight.
weight of the body floating=weight of the body immersed in fluid
Law of floating=Density of the floating object/density of fluid
As fluid is the freshwater here,the density of fluid will be
[tex]1000kg/m {}^{3} [/tex]
[tex] = (979kg/m {}^{3})/(1000kgm {}^{3} )[/tex]
=97.9%
A person is submerged when floating gently in fresh water about 97.9%
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If the angular speed of a 1. 1-m baseball bat is 2. 0 rad/s, what is the tangential speed of the tip of the bat?.
The tangential speed of the tip of the bat is 2.2 m/sec.
What is tangential speed?Any item travelling in a circular direction has a tangential velocity, which is its linear speed. In one full round of a turntable, a point at the outside edge travels further than a point close to the center.
The formula for tangential velocity is given by-
[tex]V_{r}[/tex] = rω
r = radius of the circular path (m)
ω = angular speed
According to the question;
The angular speed of bat is 2. 0 rad/s.
The length of the bat is equal to radius of circular path = 1.1 m.
Angular speed = angular displacement/time
ω = Ф/t
2 = Ф/t
(∵ Ф = s/r); s is the actual distance travelled.
2 = s/(r×t)
s/t = r×2
= 1.1×2
s/t = 2.2
v = 2.2 (∵ s/t = v)
Therefore, the tangential speed of the tip of the bat is v = 2.2 m/sec.
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If the distance between two objects is 15.00 m and the distance is tripled, then what is the new distance?
Answer:
so the answer is 45
Explanation:
you 15x3=45
5x3=15
this is a another way to do it add 15+15+15=45
15+15=30
then you add 15
then you get 45
The magnetic flux through a certain coil is given by phim = (1/50pi) cos( 100pi t) where the units are si. the coil has 100 turns. The magnitude of the induced emf (in volts) when t = 1/200 s is?
The magnetic flux through a certain coil is given by phim = (1/50pi) cos( 100pi t) where the units are si. the coil has 100 turns. The magnitude of the induced EMF (in volts) when t = 1/200 s is 1 / 50 π
Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface. It provides the measurement of the total magnetic field that passes through a given surface area.
An EMF is induced in the coil when a bar magnet is pushed in and out of it. EMF of opposite signs are produced by motion in opposite directions, and the EMF are also reversed by reversing poles.
EMF = d Ф / d t
Given phi = Ф = (1/50pi) cos100pi t
hence ,
EMF = d ((1/50pi) cos 100pi t ) / d t
= 1/50π * cos 100 pi
substituting value of pi
= 1 / 50 π * cos (100 * 180)
= 1/ 50 π * cos ( 1800 )
EMF = 1 / 50 π
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Ten seconds after starting from rest, a car is moving at 60 m/s. what is the carâs acceleration?
Ten seconds after starting from rest, a car is moving at 60 m/s. what is the cars acceleration? 6 m/s^2
What is acceleration?
Average acceleration= (final velocity-initial velocity)/time
The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. According to Newton's Second Law, an object's acceleration is the result of two factors working together: the object's mass, which varies depending on the materials it is made of, and the net balance of all external forces acting on it. The magnitude of an object's acceleration is inversely proportional to the object's mass.
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Two point charges of 20. 0 μc and -8. 00 μc are separated by a distance of 20. 0 cm. what is the intensity of electric field e midway between these two charges? group of answer choices
The intensity of electric field E midway between these two charges is 2.52*10^7N/C.
To find the answer, we have to know more about the electric field.
How to find the electric field?We have the expression for net electric field as,[tex]E=\frac{kQ}{r^2}[/tex]
where, k is the constant equal to 8.99*10^9.
Thus, we can write the electric field created by 20micro coulomb charge at the midway between two charges is,[tex]E_1=\frac{8.99*10^9*20*10^{-6}}{10*10^{-2}} =1.79*10^7N/C[/tex]
We can write the electric field created by -8micro coulomb charge at the midway between two charges is,[tex]E_2=\frac{8.99*10^9*8*10^{-6}}{(10*10^{-2})^2} =7.19*10^6N/C[/tex]
Thus, the net field at the midway due to two charges will be,[tex]E=1.79*10^7+7.19*10^6=2.52*10^7N/C[/tex]
Thus, we can conclude that, the intensity of electric field e midway between these two charges is 2.52*10^7N/C.
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What is the separation in meters between two slits for which 617 nm orange light has its first maximum at an angle of 29. 8°?
The separation between the two slits, d is related to the wavelength, and angle using the formula below. Hence, the value of d is 1.22 x 10⁻⁶ m.
For ease of calculations we take 29.8° = 30°
Using the relation :
[tex]\frac{m * λ }{sin\theta}[/tex]
where :
d = distance between the slits
θ = 30°
λ = wavelength of light = 617 nm = 6.17 x 10⁻⁷ m
m = 1
Substituting the values into the equation :
d = 1 x 6.17 x 10⁻⁷ / 0.5 = 0.00000122 = 1.22 x 10⁻⁶ m
Therefore, the seperation between the two slits is 1.22 x 10⁻⁶ m.
The double-slit experiment is a demonstration that light and matter can display characteristics of both classically defined waves and particles; moreover, it displays the fundamentally probabilistic nature of quantum mechanical phenomena.
This type of experiment was first performed, using light, by Thomas Young in 1802, as a demonstration of the wave behavior of light. At that time it was thought that light consisted of either waves or particles.
With the beginning of modern physics, about a hundred years later, it was realized that light could in fact show behavior characteristic of both waves and particles. Young's experiment with light was part of classical physics long before the development of quantum mechanics and the concept of wave–particle duality.
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For a particular transverse wave, there are 1.10 meters between two sequential troughs and nine troughs pass a fixed point along the direction of travel every 14.5 s. Find the wave speed (in m/s).
The speed of the wave is 0.68 m/s.
What is wave speed?Wave speed is the distance the wave travels in a given amount of time, such as the number of meters it travels per second.
V = Fλ
where;
V is the speed of the waveF is frequency of the waveλ is wavelengthWhat is the wavelength?This is the distance between two sequential troughs = 1.1 m
What is the frequency of the wave?The frequency is number of complete oscillation per second.
f = n/t
where;
n is number of complete oscillationf = (9)/(14.5)
f = 0.62 Hz
V = 0.62 x 1.1
V = 0.68 m/s
Thus, the speed of the wave is 0.68 m/s.
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An object weighs 7. 84 n when it is in air and 6. 86 n when it is completely immersed in water. what is the density of the object?
Answer:
The density of the object is 8000 kg/m^3
Explanation:
Weight in air = 7.84 n
Weight in water = 6.86 N
density of water = 1000 kg/m^3
Let d be the density of the object
According to the Archimedes principle, when a body is immersed in a liquid partly or wholly, it experiences an upward force which is called buoyant force. The buoyant force is equal to the loss in weight of the body.
Loss in weight of the object = Weight of object in the air - the weight of an object in the water
Loss in weight = 7.84 - 6.86 = 0.98 N
The volume of body x density of water x g = 0.98
Let V be the volume of the body
V x 1000 x 9.8 = 0.98
V = 10^-4 m^3
Weight in air = Volume of body x density of body x g
7.84 = 10^-4 x d x 9.8
d = 8000 kg/m^3
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The density of the object is ([tex]\rho_{ob}[/tex])= 80,000 [tex]kg/m^3[/tex]
How can we calculate the value of the density of the object?To calculate the density, we have to calculate the buoyancy force that the water exerts on the object. To calculate the buoyancy force we use the formula,
[tex]B= W_{air}- W_{water}[/tex]
Here we are given,
[tex]W_{air}[/tex] = The weight of the object in air = 7.84 N
[tex]W_{water}[/tex]= The weight of the object in water= 6.86 N
We have to calculate the buoyancy force =B
Now we put the known values in the above equation, we get
[tex]B= 7.84-6.86[/tex] = 0.98 N.
We know that the buoyant force depends on the volume of water displaced by the Volume of the object, so the formula stands,
[tex]B= \rho_{water} \times V_{ob}\times g[/tex]
Or, [tex]V_{ob}=\frac{B}{g\times \rho_{water}}[/tex]
Here we are given,
B= The buoyancy force = 0.98N.
[tex]\rho_{water}[/tex]= The density of water = 1000 [tex]Kg/m^3[/tex]
g= gravitational acceleration= 9.81[tex]m/s^2[/tex]
We have to calculate the volume of the object= [tex]V_{ob}[/tex]
Now we put the known values in the above equation, we get
[tex]V_{ob}=\frac{B}{g\times \rho_{water}}[/tex]=[tex]\frac{0.98}{9.81\times 1000}[/tex]=[tex]1.0\times 10^{-5} m^3[/tex].
So, now the volume of the object ([tex]V_{ob}[/tex])= [tex]1.0\times 10^{-5} m^3[/tex]
The weight of the object in the air can be calculated using the following formula, [tex]W_{ob}= m_{ob} \times g[/tex]
[tex]m_{ob}[/tex]=the mass of the object.
From this equation we can calculate the mass of the object,
[tex]m_{ob}=\frac{W_{ob}}{g}[/tex]= [tex]\frac{7.84}{9.81}[/tex]=0.80Kg.
(We know that the weight of the object in the air is the original weight of the object, so [tex]W_{ob} = W_{air}[/tex]=7.84N )
So, the mass of the object is ([tex]m_{ob}[/tex])= 0.80 Kg.
Now, let us consider the density of the object is [tex]\rho_{ob}[/tex]
From the definition of the density we can simply know that,
[tex]\rho_{ob}=\frac{m_{ob}}{ V_{ob}}[/tex]
Or,[tex]\rho_{ob}=\frac{0.80 }{1.0\times 10^{-5} }[/tex]
Or.[tex]\rho_{ob}=8\times 10^{4} Kg/m^3[/tex]
Or, [tex]\rho_{ob}=80,000 Kg/m^3[/tex]
From the above calculation we can define that the density of the object is 80,000 [tex]kg/m^3[/tex]
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