The direction of the magnetic field is east and its magnitude is 0.171T.
Here we have to find the direction and magnitude of the minimum magnetic field needed.
The given values:
mass/ length (m/l) = 0.505 g/cm
Current(I) = 2.94A
Let the magnetic field be B
Formula:
Form F = I( l× B)
As it is in the south direction. So gravity is in a downward direction.
F = I( lB)
F/l = IB
F/l = mg/l
=( 0.505× [tex]10^{-3}[/tex]/ [tex]10^{-2}[/tex]) 10
=0.505
Now put in the equation we have:
0.505 = 2.94 × B
B = 0.171T in the east direction.
Therefore the direction is in the east and the magnitude of the magnetic field is 0.171T.
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why do astronomers consider gamma ray bursts to be one of the greatest mysteries in astronomy
Gamma ray bursts occur randomly and pass very quickly. The explosion released more energy than a billion suns in just a few seconds.
Gamma raysGamma rays are an energetic form of electromagnetic radiation produced by radioactivity or other nuclear or subatomic processes such as electron-positron annihilation. Gamma rays make up the highest-energy electromagnetic spectrum.
Gamma ray explosions are the brightest explosions in the universe.
Astronomers believe that most explosions of this kind occur when an exotic massive star runs out of nuclear fuel.
The star's core collapses in the form of a black hole, a jet of material ignited by an unknown process released into space at speeds close to the speed of light.
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what two physics mistakes occur in a science fiction movie that shows a distant explosion in outer space, where you see and hear the explosion at the same time?
The two physics mistakes that occur in science fiction movies that show a distant explosion in outer space, where you see and hear the explosion at the same time are:
Firstly, in outer space, there is no air or other material to propagate sound.
Second, if there were air or any material then the faster-moving light would reach you before the sound.
Moreover, to travel to us from outer space, the wave must be able to travel through regions of space which are essentially a vacuum. Sound requires a medium to propagate in, so we would not be able to hear the explosion.
Sound and light travel at very different speeds - light travels about a million times faster than sound, so the explosion could not be seen and heard at the same time, it would be heard later.
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identify a characteristic of torque that may be described as clockwise (negative) or counterclockwise
A torque's characteristic direction can be categorized as either clockwise or counterclockwise.
What do you mean by torque?The rotational counterpart of linear force is torque. Depending on the subject of study, it is also known as the moment, moment of force, rotating force, or turning effect. It represents a force's ability to cause a change in the body's rotational motion.
Describe magnitude.Magnitude is referred to as an object's maximal size and direction.
A torque's characteristic direction can be categorized as either clockwise or counterclockwise.
It is possible to describe the direction of a torque as clockwise or counterclockwise, and the magnitude of the torque produced by a given force is equal to Fd.
A torque's characteristic direction can be categorized as either clockwise or counterclockwise.
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einstein proposed that the light energy was delivered to the atoms in packets, called .
Answer:
photons
E = h ν where h is Planck's constant and ν = frequency of packet
how much work is required, using an ideal carnot refrigerator, to remove 1 j of heat energy from helium at 4 k and eject this heat to a room temperature (293 k) environment?
71.43 J of work is required, using an ideal Carnot refrigerator, to remove 1 j of heat energy from helium at 4 k and eject this heat to a room temperature (293 k) environment
coefficient of performance = T / ΔT
= 4 / 293 - 4 = 0.014
Qc (heat) = work * coefficient of performance
work = Qc / coefficient of performance
= 1 / 0.014 = 71.43 J
71.43 J of work is required
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A ball was kicked from ground with an initial velocity 4 m/s. at an angle
of 30° above the horizon.
a) At what time does the ball fall back and hits the ground?
b) What is the horizontal range of the projectile?
The ball will hit the ground after 0.408 sec and the horizontal range of the projectile is 1.414 m.
What is Projectile Motion?When a particle throws obliquely near the surface, it follows along a curved path under constant acceleration directed towards the center of the earth. The path followed by the particle and the motion is called projectile motion.
Consider the 'u' is the initial velocity of the particle and θ is the angle with the horizon,
The time of the flight = (2u sinθ)/g
The horizontal range (R) = (u² sin2θ)/g
Given, the initial velocity of the projectile, u 4 m/3
The angle above the horizon, θ = 30°
The time the ball falls back and hits the ground (t):
t = (2u sinθ)/g = (2 × 4 sin30)/9.8 = 0.408 s
The horizontal range (R) of the projectile = (u² sin2θ)/g
R = (4² sin60)/9.8
R = 1.413 m
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A hockey puck with a mass of 0. 12 kg is traveling across the ice at a velocity of 150 m/s downfield. What is the momentum of the hockey puck?.
The momentum of the hockey puck is 18 kgm/s.
Momentum of any object is nothing but the product of mass and velocity. Momentum is a vector quantity so it is having both mass and direction. generally the direction of momentum is the same as the direction of velocity, because mass is a scalar quantity.
It means we can write that,
momentum = mass x velocity
P = mxv
here in the question we have mass 0.12 kg and velocity is 150 m/s, so we can write
P = 0.12 x 150 (kgm/s)
p = 18 kgm/s
Hence the momentum of the hockey puck is 18 kgm/s.
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What is brewster’s angle for light traveling in water that is reflected from crown glass?.
The correct answer of Brewster’s angle is 48.8 degrees.
What is light's Brewster angle as it travels through water?
Brewster's law is the name of this equation, and the angle it defines is known as Brewster's angle. Brewster's angle for visible light is around 56° for a glass medium in air (n2 = 1.5), while it is roughly 53° for an air-water interface (n2 = 1.33)
The inverse tan of n 2 over n 1 is what is known as Brewster's Angle. Therefore, 48.8 degrees is the inverse tan of 1.52 divided by 1.33.
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two resistors are wired to a battery.(a) in which arrangement, parallel or series,are the potential differences across each resistor and across the equivalent resistance all equal? (b) in which arrangement are the currents through each resistor and through the equivalent resistance all equal?
In a parallel arrangement, the potential difference across each resistor and the equivalent resistor is equal.
When two resistors are connected in parallel, the voltage across both resistors is the same. Battery current is divided between the two resistors. If two resistors are connected in series, the current through both resistors will be equal. The battery voltage is divided between the two resistors. The largest resistor has the largest voltage across it. In parallel, the resistors are all connected together at one end and all connected together at the other end. The potential difference across each resistor is equal, and the sum of the currents is equal to the total current going into (and out of) the parallel connection.
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If a 2 kg rock has 196 j of gravitation potential energy, calculate the height of the rock to the nearest meter.
Answer: 10 meters
Explanation:
Gravitational potential energy equation= [tex]E_{G[/tex]=mgh
When we rearrange using Algebra we get [tex]h=\frac{E_{G} }{mg}[/tex]
Plugging everything in we get [tex]h=\frac{196J}{(9.80m/s^2)(2kg)}[/tex]
Final answer is 10 meters
Characteristics, such as field name and data type, are_____ that define a field.
Characteristics, such as field name and data type are properties that define a field.
What are the properties of a given discipline or research field?The properties of a given discipline or research field are those that characterize the use of a particular type of information within the range of the attained field.
For example, genomics is a field characterized to make use of sequencing data, which refers to the linear order of nucleotides in the DNA sequence to provide useful information about the gene content and the presence of regulatory non-coding sequences.
Therefore, with this data, we can see that the properties of a given discipline or research field are mainly associated with the type of information that such discipline uses to make predictions in a given research and they are also related to the outcomes we can expect from such data.
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What happens to a molecule with a bond dipole when the electric field is turned on.
When the electric field is turned on, the dipole moment ends up aligned parallel to the external electric field.
What is dipole ?
There are two types of dipoles in electromagnetism.
The electric dipole deals with the separation of positive and negative charges found in electromagnetic systems. A simple example of this system is a pair of charges of equal magnitude and opposite sign, usually separated by a short distance. (A permanent electric dipole is called an electret.)
A magnetic dipole is a closed circuit in the current system. A simple example is a single wire loop with a constant current. An electric or magnetic dipole can be characterized by the vector quantity dipole moment. In a simple electric dipole, the electric dipole moment points from a negative charge to a positive charge and has a magnitude equal to the strength of each charge multiplied by the distance between the charges. (To be exact:
The "dipole limit" should always be considered when defining the dipole moment. For example, the generated charge spacing should converge toward 0, but at the same time the charge strength should diverge toward infinity so that the product does not change. positive constant)
For a magnetic (dipole) current loop, the magnetic dipole moment passes through the loop (according to the right-hand grip rule) with a magnitude equal to the current in the loop multiplied by the area of the loop.
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A 20 N force accelerates a 5 kg trolley from 2 m/s to 5 m/s. How long does this change of velocity take?
The correct answer is 0.75 second will take to change velocity.
What connection exists between force and mass of acceleration?
Mass times acceleration, or F=m x a, equals force. This means that in order to move an object at the same speed or velocity as an object with smaller mass, a stronger force is required. Newton's Second Law of Motion is this.
Given, Initial velocity u = 2 m/s
Final velocity v=5 m/s, mass of trolley = 5 Kg. , Force = 20 N
Force = Mass x acceleration
20 N = 5 x a
a = 4 m/ s²
v = u + at
5 = 2 + 4x t
t = 3/ 4 = 0.75 second
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two blocks with masses of 3.0 kg and 1.0 kg respectively are placed on a frictionless surface. the two blocks are touching. a net force of 12.0 n is applied to the 3.0 kg block. calculate the magnitude of the force that the larger block (m) is exerting on the smaller block (m).
The force that the larger block (m) is exerting on the smaller block is 4 N.
Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.
Calculation:-
mass = 3 kg
force applied = 12 N
a = 12/3
4 m/s²
mass of a smaller object = 1 kg
F = ma
= 1 * 4
4 N
The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.
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It takes 14 minutes, or 840s, to drive to the Rockaway Mall from MOHS. If the Rockaway Mall is
11.3 miles, or 181,856m away from the school, calculate the average speed for this trip.
If it takes 14 minutes, or 840 seconds, to drive from MOHS to the Rockaway Mall, the average speed for this route is 216 m/s.
What's the average speed response?The total distance something has traveled is divided by the total amount of time it took to traverse that distance to arrive at its average speed. Speed is the current rate of movement of something. Average speed is the speed that a vehicle travels at on average over the course of a trip.
Give an example of the typical speed.The average speed is calculated by dividing the total distance traveled throughout the entire time period. A person's average speed, for instance, is calculated as 40 miles divided by 40 minutes, or 1 mile per minute, if it takes them 40 minutes to drive 20 miles north, 20 miles south, and then 20 miles in between (60 mph).
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Semiconductor materials with band gaps greater than 3. 5 ev are considered to be a?.
Semiconductor materials are categorized as insulators if their band gaps are bigger than 3 and 5 eV.
An electron can easily move from the valence band to the conduction band in the presence of external thermal energy because semiconductor materials have low but finite band gap energies. The usual band gap energy range of semiconductor materials is 0.5eV–3eV.
Contrary to ordinary semiconductors like silicon, which have bandgaps in the range of 0.6 to 1.5 eV, wide-bandgap materials have bandgaps above 2 eV. In a p-type semiconductor, the majority of the carriers are holes, while the minority are electrons.
The advancement of communications, computing, healthcare, military systems, transportation, clean energy, and numerous more uses is made possible by semiconductors, which are a crucial part of electronic equipment.
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if you want to use a radio telescope to bounce radar signals off of a planetary body, what do you need to attach to the telescope, that wouldn't normally be there?
Radio telescopes are ideally used to detect the incoming light from planetary bodies from outside the earth.
So this is kind of a receiver itself as it receives the light. Further in such telescopes, there is a mounting system, on which large dishes are placed to receive radiation in large amounts.
But there is no transmitter in the telescope and if we want to bounce the radar signal off a planetary body we must need a source that will send such a signal. So a transmitter is required. A radio telescope is a specialized antenna and radio receiver used to come across radio waves from astronomical radio resources in the sky.
Radio telescopes detect and make bigger radio waves from the area, turning them into indicators that astronomers use to decorate our knowledge of the Universe.
A radio telescope is an astronomical device consisting of a radio receiver and an antenna device that is used to detect radio-frequency radiation emitted by way of extraterrestrial sources. Radio telescopes are much like optical telescopes in that the elements of these telescopes that produce images are sincerely the detectors that are placed at the focus.
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what if? if oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?
The maximum distance the firefighter can climb is 2.623 m.
Calculation:-
Let the maximum height be Dmax
The coefficient of friction is halved thus
[tex]\mu1 = \mu/2 = 0.306 / 2 = 0.153[/tex]
Now,
[tex]NW = \mu1*N = 1330 * 0.153 = 203.49[/tex]
= [tex](Weight of the ladder*cos\theta)* L/2 + (Weight of the man*cos\theta)* dmax - ( NW*sin\theta)* L = 0[/tex]
= 480*cos63 * (14/2) + 850*cos63*dmax - ( 203.49 *sin63 * 14) = 0
= 480*0.454*7 + 850*0.454*dmax = 203.49 *0.891*14
= 1525.44 + 385.9*dmax = 2538.33
= 385.9*dmax = 2538.33 - 1525.44 = 1012.89
= Dmax = 1012.89 / 385.9 = 2.623 m
or maximum distance is 2.623 m.
Maximum distance means the distance from the provider to the subscriber's place of residence or work. Maximum altitude is the maximum vertical distance a projectile can travel from the horizontal plane. Maximum height is the maximum height an object will reach during projection and horizontal extent is defined as the distance traveled horizontally across the ground after projection.
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the crankshaft in a race car goes from rest to 3240 rpm in 3.3s how many revolutions does it make while
The crankshaft will undergoes 89 revolution.
Revolution can be defined as the action of a celestial body moving along an orbit or elliptical path.
Revolution of the crank shaft can be calculated by the second equation of rotational motion, θ = ut + 0.5 at²
θ = distance covered in radians
u = initial velocity of the crankshaft = 0 rad/sec
t = time taken to complete all the revolutions
a = angular acceleration
Angular acceleration can be calculated by the first equation of rotational motion, a = (v-u)/t
v = 3240 rpm = (3240 * 2 * [tex]\pi[/tex]) / 60 = 339.3 rad/sec
a = (339.3 - 0)/ 3.3
a = 102.81 rad/sec²
Putting the value of 'a' in equation θ = ut + 0.5 at²
θ = 0 *3.3 + 0.5 * 102.81 * (3.3)²
θ = 559.80 rad
θ = 560 rad
n = no of revolution = θ/2[tex]\pi[/tex]
n = 560/2[tex]\pi[/tex]
n = 89.12 = 89 revolutions
The crankshaft in a race will undergo 89 revolution when it goes from rest to 3240 rpm.
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About how much greater is the gravitational force exerted by the moon on the near side of the earth than on the far side?.
The near side of the Earth is 12740 km closer to the Moon than the far side. As a result, the near side experiences a gravitational force that is 7% stronger than the far side.
The gravitational attraction of the moon on Earth is what primarily causes ocean tides to rise and fall. The gravitational pull of the moon creates two bulges of water in the Earth's oceans: one where the pull is strongest and the ocean waters face the moon, and the other where the pull is weakest and the ocean waters face away from the moon.The surface gravity of the Moon is around 1/6th as strong, or 1.6 meters per second every second. Because the Moon is significantly less massive than Earth, its surface gravity is weaker. The surface gravity of a body is inversely related to the square of its radius but directly proportional to its mass.To know more about gravitational force
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what does the mass of a black hole need to be in order for its mass divided by its volume to be equal to the density of water (1g/cm3) ?
The mass of a black hole needs to be in order for its mass divided by its volume to be equal to the density of water (1g/cm³) is 7x10²¹ solar masses or 1.45 x 10⁵⁵g
A black hole is a collapsed star where all of the mass is concentrated into a single point in space. As it is a point, there is no volume. Therefore the density of the singularity is therefore infinite regardless of mass which is given by,
Density = Mass/Volume
Density =Mass/0
Density=Infinite
However, it is said that black holes have an event horizon, which is said to be the point where light is "captured" by the black hole. If we assume this event horizon is a spherical boundary for the black hole, then we can use its volume for our density calculation instead of the singularity.
Effectively, we could able to calculate the "average" density within the event horizon. The radius of the event horizon is called the Schwarzschild Radius, and can be found using the following formula,
R = 2MG/c²
where M is the mass of gravity, G is the gravitational coefficient and c is the speed of light. The volume of the spherical horizon could be computed as,
V = πR²
On substituting the value of R to this formula we get,
V = π(4M²G²)/c⁴
Density = c⁴/π(4MG²)
M = c⁴/4πPG²
If we consider the density to be the density of water that is 1g/cm², then mass could ve computed as,
[tex]M = \frac{(3*10^{8})^{4} }{3.14*4*1*(6.6743*10^{-11})^{2} } \\M = \frac{(3*10^{8})^{4}}{12.56*44.52*10^{-22}} \\M = \frac{81*10^{32}}{559.2833*10^{-22}}} \\[/tex]
M = 0.14482 x 10⁵⁴
M = 1.45 x 10⁵⁵ g
In more meaningful terms, this could be approximated to 7×10²¹ solar masses, within the range of stellar black holes.
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a piano tuner stretches a steel piano wire with a tension of 765 n. the steel wire has a length of 0.600 m and a mass of 4.50 g .
The Frequency will be "266.14 Hz" and the number of loops is "be 60".
Given:
Tension,
765 N
Length,
0.600 m
Mass,
4.50 g
As we know,
→ Linear density,
μ=[tex]mass/length[/tex]
By substituting the values, we get
4.5×10⁻³/0.6
=7.5×10⁻³
The fundamental frequency will be:
→ F=1/2L√T/μ
=266.14Hz
and,
The number of loops will be:
→ n=f'/f
=16000/266.14
=60
Thus the above response is correct.
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A 12. 0-kilogram cart is moving at a speed of 0. 25 meter per second. After the speed of the cart is tripled, the inertia of the cart will be.
The object's beginning speed is reported as 0.25 m/s because inertia depends on mass, which is constant and equal to 12 kg; however, if the object is tripled, the
What is speed used for? Who defines speed?In order to feel more focused and alert and occasionally to feel euphoric, teenagers, young adults, and the others use a variety of stimulant drugs commonly known as "speed." Some people also employ a variety of speeds to curb their appetites.
Why is speed so crucial?You muscles lack strength, intimidation, and might without speed. Simply for display and to assist friends who are moving large pieces of furniture. The good news is that with the appropriate kind of fitness training, you can increase your speed.
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physics who invented the lightning rod? group of answer choices nikola tesla benjamin franklin micheal faraday albert einstein
Benjamin Franklin invented lightning rod and suggested that pointed conductors were the best option for avoiding damage.
Lightning rod: Franklin started to consider ways to protect people, houses, and other things from lightning in 1750 in addition to seeking to demonstrate that lightning was electricity. This eventually led to his lightning rod invention. Franklin spoke of an iron rod that was about 8 or 10 feet long and had a pointy end. Before it could get close enough to cause an impact, he said, "the electrical fire would, I imagine, be dragged out of a cloud softly." Franklin made the decision to conduct his own lightning experiment two years later. Surprisingly, he never sent letters about the fabled kite experiment; the only account was written by someone else 15 years after it happened.For more information on lightning rod kindly visit to
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PLEASE HELP DUE TODAY I DONT KNOW WHAT TO PUT ILL DO ANYTHING (I’ll use your thing put in my own words) PLESSEE I NEED THIS ASAPPPPP
Answer:
you should search it up and the answer is you need to find out what the word is and connect it to a food web like producers.
Explanation:
if you do a food web you would probably get half extra credit which would be good you need to write about biaocummation is and connect it to a food web you can do any like producers, consumers, decomposers and so on if it won't really be right copy the question, write the answer and say you want to redo it but im only a 5th grader so don't blame it on me if you might get it wrong. its the only way......
5. A satellite of 2.15 x 104 kg is moving around a planet. What is the acceleration of the satellite, if the planet
radius is 4.28 x 107 m, and the mass is 2.36 x 1029 kg? Estimate G as 6.67 x 10-11 N (m/kg)
a. 4.25 x 10³ m/s²
b. 8.59 x 103 m/s²
c. 6.21 x 10³ m/s²
d. 4.92 x 106 m/s²
e. 8.12 × 104 m/s²
The acceleration of the satellite which is moving around the planet is
7.824 x 10²¹m/s².
Mass of a satellite of moving around a planet = 2.15 x 10⁴kg
The radius the planet = 4.28 x 10⁷ m
The mass of the planet = 2.36 x 10²⁹kg
Gravitational constant = 6.67 x 10⁻¹¹ N (m/kg)
Acceleration of the satellite is calculated as :
[tex]a = \frac{G m}{R^2}[/tex]
where,
G = gravitational constant
m = mass of object
R = radius.
a = (6.67 x 10⁻¹¹ N(m/kg) x 2.15 x 10⁴kg )/( 4.28 x 10⁷ m)²
a = 7.824 x 10²¹m/s².
The acceleration of the satellite which is moving around the planet is
7.824 x 10²¹m/s².
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a ball of mass m is attached to a light string of length l. the ball is held with the string horizontal as shown in the diagram below. then, the ball is released. what is the tension in the string when the ball is at its lowest point?
Therefore, the tension in the string at its lowest point is equal to the weight added to the required centripetal force.
The rope tension is always directed towards the center of the circle. Below it means tension is UP and gravity is DOWN. At the top, downward gravity provides the necessary centripetal force. Therefore the voltage is 0. At the bottom, tension must provide the necessary centripetal force and balance gravity equal to mg downwards. Zero voltage is loose. Strings and ropes are often idealized as dimensions with length but no mass and zero cross-section.
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Conider a particle whir ling about a circular path of radiu 44m with a tangential velocity of magnitude 24m/ find the magnitude of the angular velocity ?
The magnitude of the angular velocity of a particle whirling about a circular path of radius 44m with a tangential velocity of magnitude 24 m / s is 0.55 rad / s
v = r ω
v = Tangential velocity
r = Radius
ω = Angular velocity
r = 44 m
v = 24 m / s
ω = v / r
ω = 24 / 44
ω = 0.55 rad / s
Tangential velocity is also known as linear velocity. So the linear velocity value multiplied by the radius of the curve gives the value of angular velocity which is represented using the unit rad / s.
Therefore, the magnitude of the angular velocity is 0.55 rad / s
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A worker drives to work each morning, always leaving at the same time. When he drives at
an average speed of 30km/hr he arrives six minutes early, but when he drives at an average
speed of 20km/hr he arrives six minutes late. What is the distance between his house and his
office? Calculate his average speed when he arrives precisely on time. Explain your answer.
Explanation:
speed = distance/time
distance/speed = distance / distance/time = time
when we define the equations, we must be careful to use the same scales as in the given numbers.
as we are dealing with km/h for speed, we need to have distance measured in km, and time in hours.
6 minutes is therefore 1/10 of an hour (1 hour = 60 minutes).
distance/30 = x - 1/10
distance/20 = x + 1/10
we subtract equation 2 from equation 1 :
distance/30 = x - 1/10
- distance/20 = x + 1/10
-----------------------------------
distance/30 - distance/20 = -2/10
we multiply by 60 to eliminate all fractions :
2×distance - 3×distance = -2×6 = -12
-distance = -12
distance = 12 km
x = the travel time to arrive on time.
distance/30 = x - 1/10
12/30 = x - 1/10
12 = 30x - 3
15 = 30x
x = 15/30 = 0.5 hours = 30 minutes
so, he has half an hour for his 12 km trip to work to arrive precisely on time.
that means his average speed for that must be
12/0.5 = 24/1 = 24 km/h
The velocity of sound waves is roughly the same for all wavelengths. Suppose that a sound wave has a wavelength of one meter and a frequency of 1000hz. The wavelength of a 250hz sound wave would then be.
Answer:
4 m
Explanation:
[tex]v = f \times λ[/tex]
speed of sound wave (according to question)
= 1 × 1000 = 1000m/s
wavelength is represented by λ
therefore to find the wavelength, divide the speed by the frequency of the second wave given by the question
λ of another wave = 1000 ÷ 250 = 4 m
Speed of sound equals wavelength and frequency. The wavelength of the sound wave if the frequency is 250hz is 4 meters.
What is the speed of sound waves?
Sound requires a medium to propagate in the form of vibration. It is the pattern of disturbance caused by the movement of energy particles propagating through the medium.
Sound waves can travel in the form of transverse and longitudinal waves. When the sound source continues to vibrate in the medium, the vibrations are propagated in the form of sound waves.
The sound waves travel at different speeds in different mediums. the speed of sound waves remains constant in the same medium. The speed of sound waves is directly proportional to wavelength and frequency.
Wavelength(λ) measures the distance between two crests/ two troughs in a wave and its SI unit is a meter. The frequency (f) of a wave is the number of waves that pass in a certain time and its unit is hertz(Hz). The SI unit of the speed sound wave is m/s.
From the givens,
wavelength(λ) = 1 meter.
frequency (f) = 1000hz.
Speed of wave(v) = wavelength × frequency
= 1 × 1000
v = 1000 m/s.
speed of wave = 1000 m/s.
frequency = 250hz
wavelength(λ) = speed / frequency
= 1000 / 250
= 4 meters.
Hence, the wavelength(λ) of a 250 hz sound wave is 4 meters.
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