By using vector
a. the distance traveled is 12 kilometres
b. the resultant displacement is (7 i + 5 j) kilometres
We need to know about vectors to solve this problem. Vector has magnitude and also direction. Displacement is included in vector. It can be written as
s = sx i + sy j + sz k
where s is displacement, sx is displacement on x-axis, sy is displacement on y-axis and sz us displacement on z-axis.
From the question above, we know that
east = positive x
south = negative y
west = negative x
north = positive y
s1 = 7 j
s2 = 5 j
The distance traveled is
s = s1 + s2
s = 7 + 5
s = 12 kilometres
The resultant displacement is
s = s1 + s2
s = 7 i + 5 j
s = (7 i + 5 j) kilometres
Find more on vector at: https://brainly.com/question/25811261
#SPJ4
you are lowering a box attached to a rope straight down at a constant speed, as shown.
The tension in the rope is equal to the weight of the box when lowering it at a constant speed.
When you lower a box attached to a rope straight down at a constant speed, the tension in the rope must equal the weight of the box. This is due to the equilibrium of forces acting on the box.
The weight of the box, which is the force exerted by gravity, pulls the box downward. To counteract this downward force and maintain a constant speed, the tension in the rope must match the weight of the box.
In this scenario, the tension in the rope is the force that is transmitted from your hand to the box through the rope. When the box is at a constant speed, it means that the net force acting on the box is zero.
The tension in the rope must balance out the weight of the box to achieve this equilibrium. If the tension is less than the weight of the box, the box would accelerate downward. Conversely, if the tension is greater than the weight, the box would accelerate upward.
By adjusting the tension in the rope to match the weight of the box, you can lower it at a constant speed without any acceleration. This principle is important to ensure stability and control when manipulating objects using ropes or cables.
To know more about tension refer here:
https://brainly.com/question/11348644
#SPJ11
Tomas wants to paint his bedroom. He goes to the store and buys two cans of paint.
Which simple machine would make it easier for him to open the cans?
A a lever
B. a pulley
C. an inclined plane
D. a wheel and axle
Answer:
I think the answer is c
Explanation:
I had this problem once
Look at the diagram B. What is happening in diagram B ?
Answer:
a lens is scattering light
Explanation:
Diagram B shows a plano concave lens. Plano-Concave lenses bend parallel input rays to diverge from one another on the output side of the lens and hence have a negative focal length.
In the given figure, a Plano concave lens is shown. It scatters light. The image is formed in front of lens. The formed image is virtual.
Hence, the correct option is (c) "a lens is scattering light".
Studying this brochure from nasa, which explains more detail the instruments carried by the Juno spacecraft which scientific activities will jump conduct on its trip to Jupiter? Check all that apply
Answer:
Juno scientific payload includes:
A gravity/radio science system (Gravity Science) A six-wavelength microwave radiometer for atmospheric sounding and composition (MWR) A vector magnetometer (MAG) Plasma and energetic particle detectors (JADE and JEDI) A radio/plasma wave experiment (Waves) An ultraviolet imager/spectrometer (UVS) An infrared imager/spectrometer (JIRAM)Explanation:
Each mission of NASA has a specific set of instruments that it uses to perform scientific experiments on the desired heavenly body. In case of Juno, the mission for Jupiter has a series of instruments that would study domains of gravitational forces, magnetic effect, particle detection, radiation detection, UV/IR imaging, and plasma experiments.
A 15kg object is travelling 10m/s and hit a stationary 10kg object and stuck together. What is the final velocity of the objects?
Answer:
first object final velocity =2m/s
second = 12m/s
Explanation:
i hope this will help you,..,
What is the relationship between temperature and kinetic energy?
Answer:
temperature is the average kinetic energy of the particles of matter. the hotter something is the more kinetic energy it has.
Explanation:
Read the ruler in millimeters to the correct degree of precision
3.50
3.55
35
35.1
Answer:
The answer is = 35.1 you can see by zooming.
Answer:
The answer would be 35.1
the strong force of cohesion at the surface of a liquid?
The cohesive forces between liquid molecules generate the surface tension phenomena.
What is cohesion?In physics, cohesion is defined as the intermolecular attractive force operating between two adjacent sections of a material, most notably a solid or liquid. This is the force that keeps stuff together. Intermolecular forces also exist between two distinct substances that come into contact, a process known as adhesion. Water characteristics cohesion and adhesion explain how water molecules interact with one another. as well as how water molecules interact with other substances such as leaves or even you. Water tends to stick to itself, which is what cohesion means. Water tends to attach to other things, which is what adhesion means. Cohesion is the act of sticking together. If your group of pals goes to the lunchroom as a unit and sits together, you're displaying good cohesiveness.
Here,
The phenomenon known as surface tension is caused by the cohesive forces between liquid molecules.
To know more about cohesion,
https://brainly.com/question/1538316
#SPJ4
the speed of light in sapphire is 1.69 x 10^8 m/s. determine the index of refraction for sapphire.
Answer:
1.775 is the answer
Explanation:
We can figure out the index of refraction of the sapphire by using the following equation n = c/v
n = index of refraction
c = speed of light in a vacuum
v = speed of light traveling in medium
Step 1 :
v = 1.69 × 10^8
c = 3 × 10^8
Step2: Substitute values
n = c/v -----> n = 3 × 10^8 / 1.69 × 10^8 = 3/1.69 = 1.775
Index of refraction of sapphire is 1.775
g 6. A satellite orbiting Jupiter has a periapsis radius of 80,000 km and an apoagisis radius of 105,000 km. What is the true anomaly
A satellite orbiting Jupiter has a periapsis radius of 80,000 km and an a poagisis radius of 105,000 km The true anomaly of the satellite orbiting Jupiter can be calculated using the given periapsis radius and apoapsis radius.
The true anomaly represents the angle between the periapsis and the current position of the satellite along its orbit. To calculate the true anomaly, we need to determine the position of the satellite within the orbit.
Given that the periapsis radius is 80,000 km and the apoapsis radius is 105,000 km, we can find the semi-major axis of the orbit by taking the average of these two values:
a = (periapsis radius + apoapsis radius) / 2
a = (80,000 km + 105,000 km) / 2 = 92,500 km
Next, we calculate the eccentricity of the orbit using the formula:
eccentricity (e) = (apoapsis radius - periapsis radius) / (apoapsis radius + periapsis radius)
e = (105,000 km - 80,000 km) / (105,000 km + 80,000 km) = 0.1429
With the semi-major axis (a) and eccentricity (e) known, we can calculate the true anomaly (θ) using the formula:
cos(θ) = [(a(1 - e^2)) / (r) - 1] / e
where r is the distance of the satellite from the center of Jupiter.
To determine the true anomaly of the satellite orbiting Jupiter, we need to know the distance of the satellite from the center of Jupiter. Once we have that information, we can use the calculated values of the semi-major axis and eccentricity to find the true anomaly using the provided formula.
To know more about satellite , visit :
https://brainly.com/question/28766254
#SPJ11
A spring with spring constant 58N/cm is stretched 4cm. How much force is it applying
Answer:
232 N
Explanation:
By Hooke's law, the force applied to a spring is proportional to the stretch of the spring, so
F = kx
Where F is the force, k is the spring constant and x is how much it is stretched.
So, replacing k by 58N/cm and x by 4 cm, we get
F = (58 N/cm)(4 cm)
F = 232 N
Therefore, the force applied is 232 N
a flat, circular loop has 20 turns (the wire circles around 20 times). the radius of the loop is 16.3 cm and the current through the wire is 0.565 a. determine the magnitude of the magnetic field at the center of the loop.
the magnitude of the magnetic field at the center of the loop is 1.15 × 10⁻⁴ T.
Given data:
Number of turns (n) = 20Radius of the loop
(r) = 16.3 cm
Current (I) = 0.565 A
Magnetic field at the center of the loop can be calculated by using the formula:
B = μ₀nI/2r
Where,
μ₀ is the permeability of free space.
Magnetic field formula in the case of a flat circular loop can be defined as B = μ₀NI/2R,
where μ₀ is the permeability of free space, N is the number of turns in the loop, I is the current in the loop, and R is the radius of the loop.
Substituting the given values in the formula, we get:
B = (4π×10⁻⁷ N/A²) × (20 turns) × (0.565 A) / (2 × 16.3 cm)
B = 1.15 × 10⁻⁴ T
Therefore, the magnitude of the magnetic field at the center of the loop is 1.15 × 10⁻⁴ T.
learn more about magnetic field here
https://brainly.com/question/14411049
#SPJ11
Momentum, Impulse & Conservation of Momentum While playing pool, the white cue ball strikes the 8 ball. Before the collision, the cue ball's velocity was 12 m/s and the 8 ball was at rest. If both ball's have a mass of 0.12 kg and the cue ball's velocity after the collision is 4 m/s, what is the 8 ball's velocity?O 8 m/s O 1.5 m's O 2 m/sO 0-2 m/s
The 8 ball's velocity equals 2 m/s if both balls have a mass of 0.12 kg and the cue ball's velocity is 4 m/s after the collision.
When the ball strikes the white ball, what will happen to its momentum?
Momentum will remain constant regardless of the impact type. This implies that the overall momentum of all colliding objects prior to the collision will match the total momentum following the collision.
How is momentum conservation used in the game of pool?
All of the balls' momentum, which is the sum of their mass and velocity, must be preserved upon each contact. To put it another way, the overall momentum before and after the contact must be equal.
To know more about collision visit:
brainly.com/question/4322828
#SPJ4
Describe a SEMI CLASSICAL solution approach for a particle undergoing harmonic oscillator motion. Your description should contain all the requirements that can describe WKB's approach to moving partic
The semiclassical approximation for the wave function of the particle undergoing harmonic oscillator motion is; ψ(x) = A(x) exp[(i/h)S(x)].
What is the semiclassical approximation?The semiclassical approximation also known as WKB method, is a technique used to approximate the wave function of a particle.
The SEMI CLASSICAL solution approach is determined as follows;
-(h²/2m) d²ψ(x)/dx² + (1/2) kx² ψ(x) = E ψ(x),
where;
h is the reduced Planck's constantm is the mass of the particlek is the spring constantE is the energy of the particleψ(x) is the wave functionThe wave function can be written as;
ψ(x) = A(x) exp[(i/h)S(x)],
where;
A(x) is the slowly varying amplitudeS(x) is the rapidly varying phaseFrom the first equation we have;
(dS/dx)² = (2m/h²) [E - kx²/2]
d²A/dx² + (2m/h²)(dA/dx)(dS/dx) = 0
Now, the semiclassical approximation for the wave function of the particle undergoing harmonic oscillator motion is;
ψ(x) = A(x) exp[(i/h)S(x)].
Learn more about wave function here: https://brainly.com/question/15021026
#SPJ4
A student performed an investigation into the refraction of light in a transparent material.
The results are shown below:
The angle of refraction of the refracted ray through the material shown is 32o .
Use this information to calculate the critical angle of the transparent material
The critical angle of the transparent material is 35.3 degrees.
What is the critical angle?The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. In this case, the angle of refraction is 32 degrees. Therefore, the critical angle is calculated as follows:
sin(critical angle) = sin(90 degrees) / sin(angle of refraction)
sin(critical angle) = 1 / sin(32 degrees)
sin(critical angle) = 0.574
critical angle = arcsin(0.574)
critical angle = 35.3 degrees
Therefore, the critical angle of the transparent material is 35.3 degrees.
Learn more about angle on
https://brainly.com/question/25716982
#SPJ1
Venn diagrams show the similarities and differences between two items being compared. Similarities are listed where the circles overlap, and differences are listed where the circles are not overlapping. This Venn diagram is looking at different kinds of technologies.
Which titles best describe this diagram?
Title 1 should be Microtechnology, and Title 2 should be Nanotechnology.
Title 1 should be Nanotechnology, and Title 2 should be Microtechnology.
Title 1 should be Quantum Mechanics, and Title 2 should be Traditional Physics.
Title 1 should be Traditional Physics, and Title 2 should be Quantum Mechanics.
Venn diagram should be titled traditional physics
Based on the Venn Diagram, Title 1 should be Quantum Mechanics, and Title 2 should be Traditional Physics.
What is a Venn Diagram?A Venn Diagram is a diagram which shows the similarities as well as differences between two or more items.
Overlapping points show similarities while non-overlapping points show differences.
The Venn Diagram above illustrates Traditional physics and quantum mechanics.
Title 1 is quantum mechanics and Title 2 is Traditional physics.
Therefore, the Venn Diagram illustrates the difference and similarities between quantum physics and traditional physics.
Learn more about Venn Diagram at: https://brainly.com/question/2099071
#SPJ6
A 15. 0-kg load of bricks hangs from one end of an inextensible rope that passes over a small, frictionless pulley. A 28. 0-kg counterweight is suspended from the other end of the rope. The system is released from rest. What is the magnitude of the acceleration of the system? what is the tension acting on the rope?.
The magnitude of the acceleration of the system in which a 15.0-kg load of bricks hangs from one end of an inextensible rope that passes over a small, frictionless pulley when released from rest is 2.96 m / s²
For bricks,
F = T - W
m a = T - m g
15 a = T - ( 15 * 9.8 )
T = 147 + 15 a
For counterweight,
F = T - W
- m a = T - m g
- 28 a = T - ( 28 * 9.8 )
T = 274.4 - 28 a
Equating both values of T,
147 + 15 a = 274.4 - 28 a
43 a = 127.4
a = 2.96 m / s²
Substituting a in any equation of T,
T = 147 + 15 a
T = 147 + ( 15 * 2.96 )
T = 147 + 44.44
T = 191.44 N
Therefore,
The magnitude of the acceleration of the system is 2.96 m / s²
The tension acting on the rope is 191.44 N
To know more about tension acting on the rope
https://brainly.com/question/17073019
#SPJ4
A solenoid of 100 turns has a length of 50.0 cm and a cross-sectional area of 0.385m^2. a) Find the self-inductance of the solenoid. b) Suppose the current in the solenoid increases according to the following formula. I(t)=(5.00A)e^t/2.00s
Find the induced emf in the solenoid when t=20.0 s.
Length of the solenoid, l = 50.0 cm = 0.50 mA = 0.385 m²µ₀ = 4π x 10⁻⁷ H/m. L = (µ₀N²A)/lL = [4π x 10⁻⁷ H/m × (100)² × 0.385 m²]/0.50 mL = 7.87 x 10⁻⁴ H. The induced emf in the solenoid when t=20.0 s is -4.13 V
a) Find the self-inductance of the solenoid.
A solenoid is a type of electromagnet, the wire coiled up such that it produces a magnetic field when electric current passes through it.
The self-inductance of the solenoid can be given by the formula:
L= (µ₀N²A)/
lwhere µ₀ is the permeability of free space
N is the number of turns of the solenoid
l is the length of the solenoid
A is the cross-sectional area of the solenoid
Given that, Number of turns, N = 100
Length of the solenoid, l = 50.0 cm = 0.50 mA = 0.385 m²µ₀ = 4π x 10⁻⁷ H/m. L = (µ₀N²A)/lL = [4π x 10⁻⁷ H/m × (100)² × 0.385 m²]/0.50 mL = 7.87 x 10⁻⁴ H.
b) Find the induced emf in the solenoid when t = 20.0 s.
The induced emf (ε) can be calculated by the formula;
ε = -L dI/dt
where L is the self-inductance of the solenoid and dI/dt is the time rate of change of the current given by;
I(t)=(5.00A)e^t/2.00s
Differentiating I(t) with respect to t gives; dI/dt = 5e^t/2 V/s (Volts per second)Given that L = 7.87 x 10⁻⁴ HWhen t = 20.0s; ε = - L dI/dt = -7.87 × 10⁻⁴ H × (5e^20/2) = -4.13 V
Therefore, the induced emf in the solenoid when t=20.0 s is -4.13 V.
To know more about self-inductance , visit:
https://brainly.com/question/28167218
#SPJ11
The occipital lobe is the largest lobe in the human brain.
No, the occipital lobe is not the largest, it is the frontal lobe but occipital is the smallest lobe of the cerebral hemisphere.
What is the largest lobe of the brain?The largest lobe of the brain, find in the front of the head, the frontal lobe is involved in natural characteristics, decision-making, and movement. Recognition of smell commonly involves parts of the frontal lobe. The frontal lobe carries Broca's area, which is associated with speech ability.
The frontal lobe forms the most anterior portion of the cerebral hemisphere and is divided from the parietal lobe posteriorly by the central sulcus, and from the temporal lobe posteroinferiorly by the lateral sulcus (Sylvian fissure).
So we can conclude that the frontal lobe is the major visual processing center in the brain.
Learn more about lobe here: https://brainly.com/question/19260219
#SPJ1
the gravitational attraction between two objects with masses m1 and m2, separated by distance x, is f=gm1m2/x2, where g is the gravitational constant.
The gravitational force of attraction between bodies is obtained using the Newton's law.
Newton's law of gravity;According to Newton's law of gravity, the gravitational force of attraction between two masses m1 and m2 is proportional to the product of the masses and inversely proportional to the square of the distance (x) between the masses.
Mathematically;
\(F = \frac{G m1m2}{x^{2} }\)
Hence, the gravitational force of attraction between bodies is obtained using the Newton's law.
Learn more about gravity: https://brainly.com/question/1479537
as shown in the diagram below, a student standing on the roof of a 50.0 meter high building kicks a stone at a horizontal speed of 4.00 meters per second. How much time is required for the stone to reach the level ground below?
Answer:
We can use the kinematic equation for vertical motion:
y = v0*t + (1/2)at^2
where y is the height, v0 is the initial velocity (in the vertical direction), a is the acceleration (due to gravity), and t is the time.
At the highest point of the stone's trajectory, its vertical velocity will be zero, so we can use the initial velocity as 0 and the acceleration as -9.8 m/s^2.
Using the height of the building as the initial height, we get:
-50.0 m = 0*t + (1/2)(-9.8 m/s^2)*t^2
Simplifying and solving for t, we get:
t = sqrt(2*(-50.0 m) / -9.8 m/s^2) = 3.19 seconds
Therefore, it will take approximately 3.19 seconds for the stone to reach the level ground below. Note that the horizontal speed of the stone does not affect the time it takes to fall vertically.
It takes 5 J of work to compress a monatomic ideal gas in a well-insulated container initially at atmospheric pressure and room temperature (300K) from 16 cc to 3 cc. What is the final pressure of the gas in atm?
We can solve this problem by using the First Law of Thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:
ΔU = Q - W
Since the container is well-insulated, Q = 0 and therefore ΔU = -W. The change in internal energy is given by:
ΔU = (3/2)nRΔT
where n is the number of moles of gas, R is the gas constant, and ΔT is the change in temperature. Since the gas is monatomic, we can substitute n = N/NA, where N is the number of atoms and NA is Avogadro's number, and use R = kNA, where k is the Boltzmann constant. Then we have:
ΔU = (3/2)(N/NA)kΔT
The work done by the gas is given by:
W = PextΔV
where Pext is the external pressure and ΔV is the change in volume. Since the pressure is constant, we can substitute Pext = Patm, the atmospheric pressure. Then we have:
W = Patm(V2 - V1)
where V1 and V2 are the initial and final volumes, respectively. Substituting the given values, we have:
W = 5 J
V1 = 16 cc = 16×10^-6 m^3
V2 = 3 cc = 3×10^-6 m^3
ΔV = V2 - V1 = -13×10^-6 m^3 (negative because the gas is compressed)
Substituting into the work equation, we get:
5 J = (101325 Pa)(-13×10^-6 m^3)
P = -5/(101325×13×10^-6) atm
P ≈ 0.003 atm
This result is negative, which means that the gas has done work on the surroundings rather than the other way around. This is because we have compressed the gas by doing work on it, and the gas has then expanded against the walls of the container, doing work on the surroundings. To get the final pressure of the gas, we need to add the atmospheric pressure to the pressure change caused by the compression:
Pf = Patm - ΔP = Patm - W/V2 = 1 - 5/(3×10^6) atm
Pf ≈ 0.9983 atm
Therefore, the final pressure of the gas is 0.9983 atm.
Here's a question from ~ [ AIEEE 2002 ]
The minimum velocity ( in m/s ) with which a car driver must traverse a flat curve of radius 150 m and Coefficient of friction 0.6 to avoid skidding is ~
[ I'm looking for Proper Information, and please don't get it from any Website ]
Thanks for Answering !
As car is avoid skidding
\(\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\)
Cancel m\(\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\)
\(\\ \sf\hookrightarrow v^2=\mu rg\)
\(\\ \sf\hookrightarrow v^2=0.6(10)(150)\)
\(\\ \sf\hookrightarrow v^2=60(150)\)
\(\\ \sf\hookrightarrow v^2=900\)
\(\\ \sf\hookrightarrow v=30ms^{-1}\)
Done
The minimum velocity of the with which the car driver must traverse the flat curve to avoid skidding is 29.7 m/s.
The given parameters:
Radius of the curve, r = 150 mCoefficient of friction, μ = 0.6The minimum velocity of the with which the car driver must traverse the flat curve to avoid skidding is calculated as follows;
\(\frac{mv^2}{r} = \mu mg\\\\v^2 = \frac{\mu mgr}{m} \\\\v^2 = \mu gr\\\\v = \sqrt{\mu gr} \\\\v = \sqrt{0.6 \times 9.8 \times 150} \\\\v = 29.7 \ m/s\)
Thus, the minimum velocity of the with which the car driver must traverse the flat curve to avoid skidding is 29.7 m/s.
Learn more about banked roads here: https://brainly.com/question/14777525
Even though ome thing may be impoible uch a raining cat and dog, and human turning into a different pecie, realitically, it can happen but at a very extremley low percent?
In the above case, It is not possible for it to rain cats and dogs as it is a figure of speech and not a literal occurrence. Similarly, humans cannot turn into a different species as it goes against the laws of science .
What is the species about?
The statement above is not entirely accurate. Raining cats and dogs is a phrase used to describe heavy rain, it is not a real phenomenon. And humans cannot turn into a different species, it is a biological impossibility.
What does it imply when it says it's raining cats and dogs?
Consequently, a storm with strong winds (cats) and heavy rain may be described as "raining cats and dogs" (cats). Greek word cata doxa, which means "contrary to experience or conviction," may have been the source of the phrase "cats and dogs." It is raining exceptionally or ridiculously hard if it is raining cats and dogs.
To know more about species visit:
https://brainly.com/question/25939248
#SPJ4
If you run a lap around a track of 200 m. What should be distance and displacement?
what is the defining characteristic of the trojan asteroids?
The defining characteristic of Trojan asteroids is their location in space. They are asteroids that share the orbit of a planet, leading or following the planet in its path around the sun. Specifically, Trojan asteroids are located in stable points known as Lagrange points, which are positions in space where the gravitational forces of two large objects, such as a planet and the sun, are balanced by the centripetal force of a smaller object.
Trojan asteroids are named after the mythical Trojan Horse from the Trojan War, because their discovery in the late 19th century was seen as a "hidden" population of asteroids that were difficult to detect due to their location in the same orbit as Jupiter. Today, Trojan asteroids have been found associated with several planets in the Solar System, including Mars, Neptune, and even Earth.
To know more about trojan asteroids refer here
https://brainly.com/question/16078620#
#SPJ11
A student makes the following claim,
"Scalar and vector quantities are the same thing, so they can be used interchangeably."
Explain the error in the student's claim. Provide an example of each quantity to support your answer.
Please answer quickly!
Answer:
Explanation:
A scalar quantity is a physical quantity that has only one characteristic - a numerical value.
The scalar value can be positive or negative.
Examples of scalar quantities: temperature, mass, volume, time, density.
A vector quantity is a physical quantity that has two characteristics:
1) a numerical value that is always positive (vector modulus);
2) direction.
Examples of vector physical quantities: speed, acceleration, force.
4 The kidneys, which remove dissolved wastes from the blood, are organs of the
Answer:
Urinary System
Explanation:
Answer:
Excretory system.
explanation:
If Argon's melting point is -309 degrees then what is its freezing point?
The melting point of a substance is the temperature at which the substance changes its phase from solid to liquid.
The freezing point is the temperature at which the substance changes its phase from liquid to solid.
The melting point of a substance is the same as the freezing point. That is when the temperature of the substance in the liquid form is increased continuously, the temperature at which the substance turns into a solid is equal to the temperature at which the substance will turn into liquid from solid if the temperature is decreased continuously, from a higher temperature.
What is the period of the microwaves with a frequency of 30,000,000,000 Hz?
a.cannot be calculated
b.0
c.a really big number
d.a really small number
Answer:
The period of a wave is the time it takes for one complete cycle of the wave to occur. It is given by the formula:
Period = 1 / Frequency
where frequency is the number of cycles per second.
Using this formula, we can calculate the period of the microwaves with a frequency of 30,000,000,000 Hz as:
Period = 1 / 30,000,000,000 Hz
Period = 3.33 x 10^-11 seconds
Therefore, the period of the microwaves with a frequency of 30,000,000,000 Hz is a really small number, which is approximately 3.33 x 10^-11 seconds. The answer is (d) a really small number.
Explanation: