Option C, Since there is no refraction and light travels in almost the same direction in both the glass as well as the unknown liquid, their indexes of refraction are identical.
Moving from the atmosphere to the glass causes the light to slow down. A prism's angle is 60 degrees, and its green light refractive index is 1.5.
The many media, or matter particles, through which light passes were used to gauge both its speed and how it appears to the human eye. To discern the different light wavelengths, the speed should slow down when the white light is revealed via the prism.
The following formula is used to get the refractive index:
n₁ sinθ₁ = n₂sinθ₂
where n₁ and n₂ represent the observed difference and represent the diffraction pattern between two liquids.
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A ball is thrown horizontally at a speed of 7.9 m/s. When the ball is released, it is 1.8 m off the ground. How far (horizontally) will the ball travel?
If a ball is tossed horizontal at a speed of 7.9 m/s, it will travel 4.8 meters (horizontally).
What exactly does it entail to speed?Teenagers, young adults, and others take various stimulant medications collectively referred to as "speed" to feel more focused and alert, as well as occasionally to get high. Additionally, some people take various forms or speed to suppress their appetite.
How fast is relativistic motion?Relativistic speed is the rate at which relativity effects matter for the desired level of measurement precision of the phenomenon being examined. Relativistic effects are the differences between values calculated using models that take relativity into account and those that do not.
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if there were no air resistance, how long would it take a free-falling skydiver to fall from a plane at 3100 m to an altitude of 490 m , where she will pull her ripcord? what would her speed be at 490 m ? (in reality, the air resistance will restrict her speed to perhaps 150 km/h .)
Her speed be at 490 m will be 226 m/s
What is speed?Speed is the rate at which an object moves along a path in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar value. For example, 50 km/hr (31 mph (ca. 50 km/h)) describes the speed of a car traveling along a road, whereas 50 km/hr west describes the velocity.Calculation
a) initial height, [tex]h_{i}[/tex] = 3100 m
[tex]h_{f}[/tex] = 490 m
time taken, t
Using the second equation is motion
3100–490 = 0.5 × 9.8 ×[tex]t^{2}[/tex]
solving for t
t = 23.07 s
b) let the speed is u
u =[tex]\sqrt{2*g*(h_{i} -h_{f} )}[/tex]
u = [tex]\sqrt{(2*9.8 * (3100-490))}[/tex]
u = 226 m/s
Hence, her speed is 226 m/s
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Her speed be at 490 m will be 226 m/s.
What is speed?Speed is the rate at which an object moves along a path in time, whereas velocity is the rate and direction of movement.In other words, velocity is a vector, whereas speed is a scalar value.For example, 50 km/hr (31 mph (ca. 50 km/h)) describes the speed of a car traveling along a road, whereas 50 km/hr west describes the velocity.initial height,[tex]h_i[/tex] = 3100 m
[tex]h_f[/tex] = 490 m
time taken, t
Using the second equation is motion
3100–490 = 0.5 × 9.8 ×
solving for t
t = 23.07 s
b) let the speed is u
[tex]&\mathrm{u}=\sqrt{2 * g *\left(h_i-h_f\right)} \\[/tex]
[tex]&\mathrm{u}=\sqrt{(2 * 9.8 *(3100-490))}[/tex]
u = 226 m/s
Hence, her speed is 226 m/s
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A wave has a speed of 150 m/s
and a frequency of 10 Hz. What is
the wavelength of this wave?
Answer:
Speed = frequency * wavelength
150m/s = 10Hz* wavelength
10Hz. 10Hz
Wavelength = 15m
An electric pace heater draw 25. 0 A from a 200 V ource. It i operated, on the average, for 10. 0 h each day. At AED 0. 30 per kWh, how much doe it cot to operate the heater for 15 day?
The consumption to operate the heater for 15 days is $2.25
Electricity consumption refers to all of the electricity used to perform a movement, manufacture something, or definitely inhabit a construction. here are some examples: In a manufacturing unit, overall electricity consumption can be measured with aid of looking at how lots power a manufacturing technique consumes, for instance, via making car elements.
The full-strength intake consists of that of coal, crude oil and their products, natural gasoline, and electricity, but, it excludes the intake of gas of low calorific fee, bio-strength, and solar energy.
Calculation:-
Voltage (V) = 200 V
Current (I) = 25 A
Power (P) = VI = 200 * 25 = 5,000 W
Now, the calculation of the energy consumption for 15 days in KW/h
We will convert W to kW,
1000 W = 1kW
Therefore,
5,000 W = 5000 W × 1 KW / 1000 W = 5kW
The daily energy consumption will be calculated. This is attainable as follows,
P = 5kW
Time(t) = 10 h
Energy (E) = P/t = 5/10 = 0.5 kW/h per day.
Finally, we will calculate the energy usage for the next 30 days. This is attainable as follows:
1 day = 0.5 kW
Cost of one day = 0.5 * 0.30 = $ 0.15
Now, the cost to operate the heater for 15 days = $ 15 * 0.15 = $2.25
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what is the momentum of tectonic plate if its kinetic energy is zero?
Answer: It is zero
Explanation: Without kinetic energy a plate cannot move. It is impossible.
a horizontal meter stick has a mass of 213 g.213 g. three weights ride on the meter stick: 259 g259 g at 41.3 cm,41.3 cm, 193 g193 g at 75.5 cm,75.5 cm, and 207 g207 g at 90.3 cm.90.3 cm. at what location on the meter stick would the system be in balance if it were suspended there?
To find about the suspended, learn suspended and suspended particles.
What is suspension?
A heterogeneous mixture called a suspension is one in which the solid components are dispersed throughout the liquid without actually dissolving in it. A homogeneous mixture of particles with a diameter greater than 1000 nm and that are visible to the unaided eye is referred to as a suspension.
What is suspended particle?
Finely divided solids or liquids, known as suspended particulate matter (SPM), may be released into the atmosphere as a result of industrial processes, natural processes, or human activity.
Xcm= mini/mi
⇒ (259)(41.3)+(193)(75.5)+(207)(90.3)/259+193+207
⇒10696.7+14571.15+18692.1/659
⇒Xcm=66.707 cm
Therefore, the suspended balance is 66.707 cm.
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erry-go-round accelerates from rest to in 34 s. assuming the merry-go-round is a uniform disk of radius 7.0 m and mass 31,000 kg, calculate the net torque required to accelerate it.
1.514 x 10⁴ N-m is the torque required to accelerate it.
Torque is the force that acts on the body causing it to turn about an axis.
It's given by
τ = I α ------- equation 1
Here I = moment of inertia of the disk
α = angular acceleration of the disk
For disk, moment of inertia = ½ m r²
I = 1/2 x (31 x 10³ kg) x (7)²
= 1/2 x (1514 x 10³)
α = ω₂₋ω₁ / t
here ω = angular velocity of the rotating merry-go-round
Substituting the values
α = ( 0.68rad/s - 0rad/s ) / 34s => 0.02 rad/s²
Putting the values of I and α in equation 1
τ = 1/2 x (1514 x 10³) x 0.02
=> 1.514 x 10⁴ N-m
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A 440 hz tuning fork is used with a resonting colum to detemine the velocity of sound in helium gas . if the spacing between resonances in 110cm , what is the velocity of sound in helium gas?
The velocity of sound in helium gas is 968 m/s if the spacing between resonances is 110cm.
We have to go from antinode to antinode. In an air column, the spacing between resonance is wavelength /2 as we have to go from antinode to antinode.
wavelength = 220 cm = 2.2m
As we know the velocity formula
Then Velocity = f * λ
Where f is the frequency and λ is the wavelength.
So Velocity of wave = 440 * 2.2 = 968m/s
Hence, the velocity of sound in helium gas is 968 m/s if the spacing between resonances is 110cm.
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Which statement best describes heat?
A. Heat flows from cold to hot and is a form of thermal energy.
B. Heat flows from hot to cold and is the transfer of thermal energy.
C. Heat flows from hot to cold and is a form of thermal energy.
D. Heat flows from cold to hot and is the transfer of thermal energy.
Answer: D
Explanation:
A toy cart at the end of a string 0.70 m long moves in a circle on a table. The cart has a mass of 2.0 kg and the string gives a centripetal force of 40. N. Calculate the speed of the cart.
3.74 m/s is the speed of the cart of mass 2.0 kg and the string gives a centripetal force of 40. N.
What does a circle's centripetal force look like?The force that creates centripetal acceleration is known as centripetal force. All objects in uniform circular motion accelerate toward the center of the circle, and as a result, they must likewise experience a force from the center. The centripetal force is that force.
Briefing :
Given ,The mass of the cart, m = 2 kg,
The standard equation would be F = ma , where a is acceleration, f is force, and m is mass. However, the breaking strength of the string is 40 N.
a = [tex]\frac{v^{2} }{r}[/tex]
F = ma
F = [tex]\frac{mv^{2} }{r}[/tex]
40 = [tex]\frac{2v^{2} }{0.70}[/tex]
[tex]v^{2}[/tex] = 14
v = [tex]\sqrt{14}[/tex]
v = 3.74 m/s
Therefore , the speed of the cart is 3.74 m/s .
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please this is serious
Distance x force equals work done. When this occurs, the amount of work done is measured in joules (J), the amount of force is recorded in newtons (N), and the distance travelled along the force's path is measured in meters (m).
What does work-done-unit mean?The SI unit of labor is called a joule (J).
The following questions have the following answers:
1) In the picture below, F1 acts downward and F2 acts upward.
2) Moments on the LHS equal F1d1 and on the RHS, F2d2.
Moment in LHS= RHS F1d1= F2d2 F1= (20Kg 10)/200 N Consequently, 200 N0.8= F20.95 160= 0.95 F2 = 168.42 N
The net force has a magnitude of 168.42 N and is directed upward.
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when two identical resistors are connected in series across the terminals of a battery, the power delivered by the battery is 20 w. if these resistors are connected in parallel across the terminals of the same battery, what is the power delivered by the battery?
If these resistors are connected in parallel across the terminals of the same battery, the power delivered by the battery is 80 W
Write the expression for the total power delivered by the battery in
parallel,Pp = 2P1
Here, Po is the total power delivered by the battery in parallel.
Pp = 2 [(ΔV)²/R]
= 4 [(ΔV)²/2R]
= 4Ps
Pp =4(20)
P =80 W
Electrical resistance is implemented as a circuit element by resistors, which are passive two-terminal electrical components. Resistors are devices that are used in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, biasing active components, and terminating transmission lines. Electrical resistance is provided by a resistor, a two-terminal electrical component. Resistors are mainly used to split voltages, block transmission signals, reduce current flow, and bias active components in electronic circuits.
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a constant force is applied to an object, causing the object to accelerate at 10 m/s2 . what will the acceleration be if the force is halved and the object's mass is doubled? express your answer using two significant figures.
The acceleration is if the force is halved and the item's mass is doubled is 2.5 m/s².
Force is a push or pulls upon an item due to the item's interaction with a few different item. strain is a energy that could change the motion of an item. A force can purpose an object with mass to exchange its velocity, i.e., to boost up. stress also may be defined intuitively as a push or a pull. A force has each significance and route, making it a vector amount.
In the first case,
Let the mass of the object is = m
acceleration = 10 m/s²
The constant force F = ma
F = 10m ---------(1)
New case 2,
force F' = F/2
mass M' = 2m
a = F'/M'
= F/2 × 2m
a = F/4m
F = 4ma ----------(2)
dividing equations 1 and 2
⇒ [tex]\frac{F = 4ma}{F = 10m}[/tex]
a = 10/4
a = 2.5 m/s²
The phrase 'force' has a unique which means. At this degree, it's far truely appropriate to describe a pressure as a push or a pull. A force isn't always something that an item consists of or 'has in it. A pressure is exerted on one object thru another. The idea of a force is not confined to living matters or non-dwelling matters.
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a pilot flying low and slow drops a weight; it takes 2.2 s to hit the ground, during which it travels a horizontal distance of 180 m . now the pilot does a run at the same height but twice the speed. how much time does it take the weight to hit the ground?
Time taken by the weight to hit the ground is 2.2 seconds when pilot does a run at the same height but twice the speed.
What is distance , speed and how the time taken is same in the 2nd attempt as of the first attempt?Distance is a quantity which represents the product of speed and time in a given time period.Speed is the quantity that represents the distance travelled per unit time of the motion.Here the pilot takes 2.2 second of time to hit the ground and travels the distance of 180 meters.As we know that the time taken by the free fall from same height is always same.Time taken for the weight to hit the ground would be same as of the first attempt that is 2.2 seconds.To know more about speed visit:
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proton traveling with speed 4 105 m/s in the y direction passes through a region in which there is a uniform magnetic field of magnitude 0.9 t in the z direction.you want to keep the proton traveling in a straight line at constant speed. to do this, you can turn on an apparatus that can create a uniform electric field throughout the region.what electric field should you apply?magnitude: ||
The electric field should be applied is 3,694.5 .
As we know from electromagnetic theory we have a relation with electric field and magnetic field with force, which is
F = qE + qv x B
or we can write that
F = qE + qvBsinФ
To allow proton to move with the constant speed, we need to apply zero external force
It means F = 0
or we can write that
qE = -qvBsinФ
putting the appropriate values, we get
E = 4105 x 0.9
E = 3,694.5
Hence the magnitude of the electric field is 3,694.5 .
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a skateboard rolls down a hill and the wheels do not slip against the pavement. does the static friction force of the pavement on the wheels do any work on the skateboard? g
The static friction force of the pavement on the wheels will not do any work on the skateboard.
Static friction is a variable resisting force that is equal and opposite to the external force until it exceeds the motion threshold when sliding begins.
It is also called as self adjusting force.If the skateboard is rolling at a constant speed without any other forces acting on it, then there is no tendency to slip between the wheel and the surface, so there is no frictional work. Friction will only try to prevent slipping between the 2 surfaces.
On an inclined plane, the wheels will tend to slide down, and if there were no friction, it would again slide between the wheels and the inclined surface. Perhaps friction will always try to counteract the slip, so here it acts upward on the slope to try to prevent the skateboard from sliding down the slope. This has the effect of applying a moment to the skateboard causing it to roll.
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An airplane is flying with a force of 800 N. It experiences a force of air resistance of 40 N and a wind force of 60 N, both acting in the opposite direction that the plane is traveling. What is the net force on the airplane?
The net force on the airplane is 420 N.
What is force?An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the Force. Newton is the SI unit of force.
Given parameters:
Force of the airplane, F = 800 N.
Force of air resistance, f₁ = 40 N.
Wind force, f₂ = 60 N.
Net force = ?
According to the question, wind force and force of air resistance are acting opposite direction. As, force of air resistance always acting opposite to the direction of plane flying, wind force is acting along the direction of plane flying.
Hence, net force = F - f₁ + f₂
= ( 800 -40 + 60) N.
= 820 N.
So, net force acting on the plane is 820 N.
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when a star settles down to a stable existence as a main-sequence star, what characteristics determines where on the main sequence in an h-r diagram the star will fall?
A star's mass determines where it lies along the main sequence. On the main sequence, high-mass stars are hotter and emit more energy than low-mass stars.
Explain about the Mass?A metric called mass is employed in physics to express inertia, a basic property of all matter. What it essentially is is the resistance of a mass of matter to changing its direction or speed in response to the application of a force. The more mass a body has, the less of a change an applied force makes.
Mass is a unit used to describe how much matter is present in an object. Usually, the unit of mass is either kilogrammes (kg) or grammes (g) (kg). Mass is a measure of how much matter there is, regardless of where it is in the cosmos or how much gravitational force is being applied to it.
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if a power plant operating at a steady power of 100 mw has run for a time 50 hrs. then the energy produced is?
5,000 Megawatt hour, amount of energy is produced by the power plant , which operates at steady power of 100 Megawatt.
Power is defined as rate of doing work or it is the work done per unit of time .
mathematically, P = W/t
where, P--> power in watt
W ---> work done by body in joule and t-----> time taken to do work in sec
but as we know Energy is defined as capacity to do work . Then it is same as work done. The S.I units of energy is joule.
So, power in form of energy is defined as amount of energy transferred per unit of time.
mathematically, P = E/t
We have , power of plant (P) = 100 megawatt
time (t) = 50 hours
put in above formula we get, 100 MW
= energy/ 50 hours
Energy = power × time = 100MW × 50 hours
= 5000 Megawatt hours
So, energy produced by the power plant of 100 ME is 5,000 Meagawatt hour.
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a spring with an m-kg mass and a damping constant 10 (kg/s) can be held stretched 1.5 meters beyond its natural length by a force of 3 newtons. if the spring is stretched 3 meters beyond its equilibrium position and then released with zero velocity, find the mass that would produce critical damping.
12.5kg is the mass that would result in critical damping.
Define the damping constant and determine it using the force or displacement equation provided.The ability of a damper to resist motion is shown by its damping coefficient, which measures the effectiveness of the damper. where c is the damping coefficient and is expressed in newton seconds per meter.
The damping coefficient is a term that has the formula where is a constant. This damping is equivalent to the kind of motion resistance and energy loss experienced when a piston with perforations is moved through a cylinder filled with a viscous fluid, like oil.
Force F = Kx
K = F/x
K = 3/1.5
K = 2N/m.
c² - 4mk = 0
m = c²/4k
m = 10²/4×2
m = 100/8
m = 12.5kg.
12.5kg is the mass that would result in critical damping.
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a rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. if the plane is traveling horizontally with a speed of 69.4 m/s how far in advance of the recipients (horizontal distance) must the goods be dropped?
4.80m is the far of the recipients must goods dropped.
What is speed?The speed of an object is the rate at which it moves through space. A slow-moving object travels a relatively short distance in a given amount of time, whereas a fast-moving object travels a long distance in a short amount of time.
A)Since we are aware that the plane's vertical speed is zero
In this instance, the mass is dropped with no beginning speed.
thus, we will
y=1/2gt²
235=1/2(9.81)t²
t=6.92s
Consequently, it is given as the horizontal distance it moved.
d=vt
d=(69.4)(6.92)
d=480.4m
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the angular velocity of a rotating rigid body increases from 500 to 1500 rev/min in 120 s. (a) what is the angular acceleration of the body? (b) through what angle does it turn in this 120 s?
The angular acceleration of the body & through certain angle is 0.87266 rad/sec² and 12566.8rad respectively.
Given -angular velocity of a rotating rigid body increases from 500 to 1500 rev/min .
Time= 120s
To find - Angular acceleration and angle
Principle : We have to convert rev/min to rad/sec .
ωf= ωi + αt
ωf- ωi = αt
α= [ ωf- ωi ]/ t⇒angular acceleration formula
ΔФ=ωi t + αt²/2⇒ angle deviation formula
Calculations-
Conversion of Rev/Min to rad/Sec -
ωi= 500 rev/min
= 500 x 2π rad/rev x 1min/60sec = 52.3598 rad/sec
ωf= 1500 rev/min
=1500 x 2π rad/rev x 1min/60sec = 157.079rad/sec
ωi=52.3598 rad/sec
ωf=157.079rad/sec
Now , to compute angular acceleration- α= [ ωf- ωi ]/ t
= [157.079rad/sec- 52.3598 rad/sec]/120
α=0.87266 rad/sec²
Now to compute angle deviated -ΔФ=ωi t + αt²/2
=52.3598 x 120 + [0.87266 x 120 x120]/2
ΔФ= 12566.8rad
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given a round object (sphere, disk, hoop for example), doubling only the radius of the object changes its moment inertia by a factor of:
Using the concepts of moment of inertia, we got that moment of inertia increases by 4 times for all round object (sphere, disk, hoop for example) on doubling only the radius.
We know very well that, moment of inertia of the following object are
Moment of inertia of sphere=(2/5)mr²,Moment of inertia of disk =(1/2)mr²Moment of inertia of hoop =mr²where m is the mass of the object and r is the radius of the object.
We see that moment of inertia is directly proportional to the radius of the object.
It means when we double the radius, then moment of inertia increases by 4 times of its previous value.
Hence, a round object (sphere, disk, hoop for example), doubling only the radius of the object changes its moment inertia by a factor of 4 times.
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A TV with the power rating of 200 Watt uses 0.8 kilowatt of electrical energy in one day. For how many hours was the TV on during this day?
The number of hours that the TV was on is four hours.
What is the number of hours that the TV was on?We know that is possible to calculate the cost of electricity and this is done when we convert the electricity to the billing unit that we call the kilowatt hour.
Now we know that;
Power rating of the TV = 200 watt or 0.2 KW
The amount of electricity that was used by the TV in a day = 0.8 KWh
We can now find the number of hours from the relation;
Power rating * time = Energy used
0.2 * t = 0.8
t = 0.8/0.2
t = 4 hours
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suppose that the quarterback takes 0.30 ss to return to the ground after throwing the ball. how far ddd will he move horizontally, assuming his speed is constant?
The quarterback is located 0.3v above ground. The fundamental element of every projectile's body that is moving is its horizontal velocity (vx).
What is horizontal velocity?The fundamental element of every projectile's body that is moving is its horizontal velocity (vx). In any projectile motion, it is typically utilized to know the velocity value at which the particle travels along the horizontal direction. It's even thought of as the body's starting point for movement.
Let's say the projectile-moving particle reaches the highest point of its horizontal path. In that case, the horizontal velocity will typically be zero since the force of gravity will cause it to fall vertically downward as soon as it reaches the peak point. Vertical velocity has no impact on this horizontal velocity when it is at its highest point.
Let the horizontal velocity of the object = v
X = vt
X = 0.3v
Thus, The quarterback is located 0.3v above ground.
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a stealth bomber flying horizontally at a speed of 150 m/s drops a bomb from a height of 2500.0 m. how far in front of the target must the bomb be released
The bomb must be released 3375 m before the target when dropped from the height of 2500.0 m
What are equations of motion?An equation of motion is an equation that describes the behavior of a physical system in terms of motion as a function of time. More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions related to dynamic variables.
Following are the equations of motion:
v = u + at
s = ut + 1/2 at²
v² = u² + 2as
Before calculating the horizontal distance let's calculate the time taken by the bomb to reach the ground by using following equation:
s = ut + 1/2 gt²
u = initial velocity in the vertical direction (0)
s = vertical displacement from the ground (−2500.0 m)
g = acceleration due to gravity (-9.8 m/s²)
Now substitute the the value in the above reaction:
-2500 = 0 × t + 1/2 × -9.8 t²
-2500 = -4.9 t²
t = 22.5 s
Now the distance covered by the bomb in horizontal direction by the time it reaches the ground is:
D = v × t
Where, D = distance covered by bomb horizontally
v = velocity of bomber (150 m/s )
t = time taken to reach the ground (22.5 s)
D = 150 × 22.5
D = 3375 m
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betelgeuse is a red giant. this means the star is nearing the end of its life, and becoming larger and redder in the process. what's happening to the surface of the star as it becomes redder?
For a solar mass star, the red-giant phase normally lasts just around a billion years overall, with practically all of that time being spent on the red-giant branch.
The phases of horizontal branch and asymptotic huge branch move ten times more quickly.After a star exhausts its hydrogen fuel for nuclear fusion and starts to die, a red giant develops. A star keeps itself stable by carefully balancing the forces of its own gravity, which holds it together, with the pressure exerted outward by continuing thermonuclear fusion reactions occurring at its core.The typical lifespan of red giant stars is between 0.1 and 2 billion years. Red giant stars are significantly less massive and smaller than red supergiant stars.To know more about red-giant
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A large block of stone is held at a height of 15meters having gained 4500 j of gpe. how much does it weigh?
The weight of the large block of stone is 300 Newton. The result is obtained by dividing the gravitational potential energy by the height.
What is gravitational potential energy (GPE)?Gravitational potential energy is the energy stored in an object due to its position in a gravitational field. GPE can be expressed as
PE = mgh
Where
PE = gravitational potential energym = mass of an objectg = acceleration of gravityh = height of an objectGiven
h = 15 mPE = 4500 JHow much does it weight?
The weight of an object is the mass times the acceleration of gravity.
W = mg
So, with the GPE equation, the weight is
PE = mgh
PE = W × h
4500 = W × 15
W = 4500 ÷ 15
W = 300 Newton
Hence, the weight of the large block of stone is 300 Newton.
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ultraviolet radiation falls in the wavelength region of 1.00 * 10^-8 to 1.00*10^-7 meters. what is the wavelength of ultraviolet radiation that has an energy of 1.99*10^-20 kj/photon? wavelength
The wavelength of ultraviolet radiation that has an energy of 1.99*10^-20 kj/photon is 3.00 x 1016 sec-1.
How to find the wavelength of ultraviolet radiation?Frequency = speed of light divided by wavelength
wavelength times the speed of light to calculate frequency.
F = c/ = (1.00 x 10^-8 m) / (3.00 x 108 m/s) = 3.00 x 1016 sec-1
When calculating light energy, we require the following two equations:
E = hv, where h = Planck's constant (see below), v = frequency in Hz, and E = energy of a photon of light.
c =, where = wavelength in m, = frequency in Hz, and c = speed of light (3x108 m/sec).
When these two equations are rearranged, we obtain
We will apply the equation E = hc/ to resolve the current issue.
h = 6.626 x 10 – 34 Jsec
c = 3 x 10 ^8 m/s
λ = 1.00 * 10^^7 m
E = (1.00x10-8 m)/(6.626x10-34 Jsec)(3x108 m/sec)
E = 1.99x10-20 kJ/photon x 1 kJ/103 J, or 1.99x10-20 J/photon per photon.
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A source vibrating at constant frequency generates a sinusoidal wave on a string under constant tension. If the power delivered to the string is quadrupled, by what factor does the amplitude change?.
When the amplitude varies, it means twice as much.
Which instances of sinusoidal waves are there?Simple harmonic motion, such the swinging of a pendulum or the weight of a weight on a spring, produces a sinusoidal relationship between position and time. Sound and water waves, for example, can be visualized as sinusoids.
Given:
if the string is given four times as much power.
According to the power that a sinusoidal wave on a stretched string transmits,
P =[tex]\frac{1}{2}[/tex] μω^A^2v
Where μ=mass per unit length, w= angular speed, A= amplitude, v= wave speed, P= power delivered.
P ∝[tex]A^{2}[/tex]
Here, the only terms we need are power and amplitude.
A =K[tex]\sqrt{P}[/tex]
Where K is constant
Here, "power become quadruple" refers to four,
A = [tex]\sqrt{4P}[/tex]
A =2 [tex]\sqrt{P}[/tex]
Therefore, an increase in amplitude by a factor of two is equivalent to a twofold increase.
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