Answer:
β 2 = 0.02575 mm
Explanation:
given data
wavelength = 563 nm
separation distance between adjacent bright fringes = 0.0290 mm
wavelength = 500 nm
solution
we get here separation distance between adjacent bright fringes that is express as
β = [tex]\frac{\lambda D }{d}[/tex] ..................................1
here D is distance from plane of slit to screen
and d is slit sepation that is constant
so
[tex]\frac{\beta 1}{\beta 2} = \frac{\lambda 1}{\lambda 2}[/tex]
β 2 = [tex]\frac{500}{563} \times 0.0290[/tex]
β 2 = 0.02575 mm
3Three identical sheets of paper are taken, but arranged in different ways as shown. Which paper can support the most weight?
Answer:
The most thick paper can support maximum weight.
Explanation:
A paper is defined as a thin sheet of material that is prepared chemically or mechanically processing of the cellulose fibers which are derived from the grasses, wood, bamboos, trees or rags.
In the context, there are three different but identical sheets of paper that are arranged in different ways. Weights are placed over the papers. Now the most thick paper of the three provided will support most of the weight.
Paper thickness or paper weights are measured in GSM. GSM stands for grams per square meter. The thicker paper will have higher GSM.
The probe used in a medical ultrasound examination emits sound waves in air that have a wavelength of 0.12 mm. What is the wavelength of the sound waves in the patient?a) 0.54 mm b) 0.12 mm c) 0.26 mm d) 0.027 mm
Answer:
0.54mm
Explanation:
Given the following :
Wavelength (λ) of Soundwave in air = 0.12mm
Velocity of sound wave (v) = 340m/s
Calculate the frequency (f) :
v = fλ
Wavelength to metres
1000mm = 1 m
0.12mm = (0.12/1000)m
= 0.00012m
v = fλ
340 = F * 0.00012
f = 340 / 0.00012
f = 2833333.3 Hz
Wavelength of Soundwave in the patient:
Velocity of sound wave through body tissue = 1540m/s
Therefore,
Using v = fλ
λ = v / f
λ = 1540 / 2833333.3
λ = 0.0005435m
λ = (0.0005435 * 1000)mm
λ = 0.5435mm = 0.54mm
The distance between neighbouring, identical wave components, such as adjacent compressions, determines a sound's wavelength. The number of waves passing a spot in a given amount of time is known as the frequency, which is the same as the source's frequency.
What wavelength of the sound waves in the patient?Wavelength (λ) of Soundwave in air = 0.12 mm
Velocity of sound wave (v) = 340m/s
Calculate the frequency (f) :
v = fλ
Wavelength to metres
1000 mm = 1 m
0.12 mm = (0.12/1000)m
= 0.00012 m
v = fλ
340 = F × 0.00012
f = 340 / 0.00012
f = 2833333.3 Hz
Wavelength of Soundwave in the patient:
Sound waves travel through body tissue at a speed of 1540 m/s.
Therefore, Using v = fλ
λ = v / f
λ = 1540 / 2833333.3
λ = 0.0005435m
λ = (0.0005435 × 1000)mm
λ = 0.5435mm = 0.54 mm
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Which atomic number corresponds to the element which is most stable?
01
03
28
36
Answer:
Which atomic number corresponds to the element which is most stable?
01
03
28
36
36 is your answer.
In a simple machine the energy input is 120J if the efficiency of the machine is 80% calculate the energy output
Answer:
E_O = 96J
Explanation:
E_O = E_I*(%e/100%)
E_O = 120J*(80%/100%)
E_O = 96J
The transmutation of a radioactive uranium isotope, 234/92U , into a radon isotope, 222/86Rn , involves a series of three nuclear reactions. At the end of the first reaction, a thorium isotope,230/90Th , is formed and at the end of the second reaction, a radium isotope, 226/88Ra , is formed. In both the reactions, an alpha particle is emitted. Write the balanced equations for the three successive nuclear reactions.
Answer:
See explanation below
Explanation:
234/92U--------> 230/90Th + 4/2He
230/90Th----->226/88Ra + 4/2He
There are various modes of radioactive decay. One of them is alpha decay.
Alpha decay involves the loss of an alpha particle from a nucleus. When this occurs, the mass number of the daughter nucleus is four units less than that of the parent while the atomic number of the daughter nucleus is two units less than that of its parent as shown in the equations above.
An alpha particle is akin to a helium nucleus in terms of mass and charge
V Page 1. What is the acceleration due to gravity at poles in m/s2.if it is 9.78 at the equation ->
Answer:
Chk photo
Explanation:
A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What force constant is needed to produce a period of 0.500 s for a 0.0150-kg mass
Answer:
the force constant k = 2.369 N/m
Explanation:
Given that:
A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair.
with period T = 0.500 s and a mass of 0.0150 kg, Then the force constant can be calculated by using the formula:
[tex]\mathtt{T = 2 \pi \ \sqrt{\dfrac{m}{k} }}[/tex]
where;
T = time period
m = mass
k = force constant.
By making k the subject of the formula; we have:
[tex]\mathtt{T^2 = 4 \pi^2 (\dfrac{m}{k})}[/tex]
[tex]\mathtt{k =\dfrac{4 \pi ^2 \ m}{T^2}}[/tex]
replacing our given values , we have:
[tex]\mathtt{k =\dfrac{4 (3.142) ^2 \ \times 0.0150 }{0.5^2}}[/tex]
[tex]\mathtt{k =\dfrac{39.49 \ \times 0.0150 }{0.25}}[/tex]
[tex]\mathtt{k =\dfrac{0.59235 }{0.25}}[/tex]
k = 2.369 N/m
According to the information available in the question, the force constant is 2.37N/m.
Using the relation;
T = 2π√m/k
T = period = 0.500 s
m = mass in kilograms = 0.0150-kg
k = spring constant = ?
Making k the subject of the formula;
k = 4π^2m/T^2
k = 4 × (3.142)^2 × 0.0150/(0.500 )^2
k = 2.37N/m
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in what condition does a body float
Answer:
if buoyant force is equal is equal to the weight of body then our body float. if density of our body is less than density of liqiud then our body float in water.
wholesale market definition
Answer:
Wholesale Market. 1. The market for the sale of goods to a retailer. That is, a wholesaler receives large quantities of goods from a manufacturer and distributes them to stores, where they are sold to consumers. ... The market for the sale of securities to institutional investors rather than individuals.
define one standard kg
Answer:
The mass of platinum iridium rod whose diameter and height are equal an kept at international bureau of weight and measurement in Paris of France is called as one standard kg.
A 0.149 kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.710 m/s . It has a head-on collision with a 0.308 kg glider that is moving to the left with a speed of 2.27 m/s . Suppose the collision is elastic.1. Find the magnitude of the final velocity of the 0.157kg glider.
2. Find the magnitude of the final velocity of the 0.306kg glider.
Answer:
v1 = −2.201946 m/s ( to the left)
v2 = 0.7780534 m/s ( to the right)
Explanation:
Given the following :
Mass of first glider (m1) = 0.149kg
Initial Speed of first glider (u1) = 0.710 m/s
Mass of second glider (m2) = 0.308kg
Initial Speed of second glider (u2) = 2.27m/s
For elastic collision:
m1u1 + mu2u2 = m1v1 + m2v2
Where V1 and v2 = final velocities if the body after collision.
Taking right as positive ; left as negative
u1 = 0.710m/s ; u2 = - 2.27m/s
u1 - u2 = - (v1 - v2)
0.710 - - 2.27 = - v1 + v2
v2 - v1 = 2.98 - - - - (1)
From:
m1u1 + mu2u2 = m1v1 + m2v2
(0.149 * 0.710) + ( 0.308 * - 2.27) = (0.149 * v1) + (0.308 * v2)
0.10579 + (-0.69916) = 0.149 v1 + 0.308v2
−0.59337 = 0.149 v1 + 0.308v2
Dividing both sides by 0.149
v1 + 2.067v2 = −0.59337 - - - - - (2)
From (1)
v2 = 2.98 + v1
v1 + 2.067(2.98 + v1) = −0.59337
v1 + 6.16 + 2.067v1 = −0.59337
3.067v1 = −0.59337 - 6.16
3.067v1 = −6.75337
v1 = −6.75337 / 3.067
v1 = −2.201946 m/s ( to the left)
From v2 = 2.98 + v1
v2 = 2.98 + (-2.201946)
v2 = 0.7780534 m/s ( to the right)
A 0.35 m2 coil with 50 turns rotates at 5 radians per sec2 in a magnetic field of 0.6 Tesla. What is the value of the rms current in the coil if the coil has the resistance of 3.3 Ω?
Answer:
11.25 amps
Explanation:
For transformers, the magnetic flux
[tex]\Phi _{max} = \beta \times A[/tex]
Therefore;
[tex]\Phi _{max} = 0.6 \times 0.35 = 0.21 \ Weber[/tex]
Ф = Фmax (cosωt) = 0.21·(cos(5·t))
From Faraday's law of induction, we have;
ε = -N × dΦ/dt
Which gives;
dΦ/dt = -1.05(sin (5t) )
ε = -N × dΦ/dt = -50× -1.05(sin (5t) )
ε = 52.5(sin (5t) )
I = ε/R = 52.5(sin (5t) )/3.3 = 15.9091(sin (5t) ) amps
The peak current is therefore = 15.9091 amps
The rms current = Peak current /√2 = 15.9091/(√2) = 11.25 amps.
A uniform horizontal beam with a length of 8m and weigh of 200N is attached to a wall by a pin connection ..Its far end is supported by the cable tha makes an angle of 53.0 with the beam. If 600N person stands 2m from the wall , find the tension in the cable as well as the magnitude and direction of the force exerted by the wall on the beam.
Answer:
The tension in the cable is approximately 1440.0 N
Explanation:
The length of the beam = 8 m
The weight of the beam = 200 N
The angle made by the beam support cable = 53°
The weight of the person = 600 N
The position where the person stands = 2 m
The forces acting are the weight of the cable acting at the center of the beam and the weight of the person acting at 2 m from the wall
Therefore, we have;
Sum of moments = 0, which gives;
2000 × 4 + 2 × 600 - 8 × [tex]T_y[/tex] = 0
2000 × 4 + 2 × 600 = 8 × [tex]T_y[/tex]
[tex]T_y[/tex] = 9200/8 = 1150 N
The tension in the cable, T = The component of the force in the cable
The vertical component of the tension [tex]T_y[/tex] = T×sin(53)
Therefore;
T = [tex]T_y[/tex]/(sin(53)) = 1150/(sin(53 degrees)) = 1439.96 ≈ 1440 N
The tension in the cable, T is approximately 1440 N.
How much power does it take to lift a box with a weight of 50N to put it on a shelf that is 10m high in
10 sec?
We know
[tex]\boxed{\sf Power=\dfrac{Work\:done}{Time}}[/tex]
[tex]\\ \sf\longmapsto Power=\dfrac{Force\times displacement}{Time}[/tex]
[tex]\\ \sf\longmapsto Power=\dfrac{50\times 10}{10}[/tex]
[tex]\\ \sf\longmapsto Power=\dfrac{500}{10}[/tex]
[tex]\\ \sf\longmapsto Power=50W[/tex]
A wave has a frequency of 5 Hz and a wavelength of 0.5 m, what is the speed of this wave?
Answer:
2.5 m/s
Explanation:
The speed of a wave can be found using the following formula.
v= λ * f
where λ is the wavelength in meters (m) and f is the frequency of the wave in Hertz (Hz).
We know the wavelength is 0.5 m and the frequency of the wave is 5 Hz.
Therefore,
λ= 0.5 m
f = 5 Hz
v= 0.5 * 5
Multiply 0.5 by 5, or divide 5 by 2.
0.5 * 5= 2.5 or 5/2=2.5
v= 2.5
Add appropriate units. The units for wave speed are m/s (meters per second).
v= 2.5 m/s
The speed of the wave is 2.5 meters per second.
If forces acting on an object are unbalanced, the object could experience a change in ________.
Answer:
velocity
Explanation:
Unbalanced forces on an object cause it to accelerate. Acceleration is a change in velocity over time.
Answer:
a
Explanation:
none
. Calculate the momenturn of a bus of mass 2000 kg moving with a velocity of 20 m/s
We know
[tex]\boxed{\sf Momentum=Mass\times Velocity}[/tex]
[tex]\\ \sf\longmapsto Momentum=2000(20)[/tex]
[tex]\\ \sf\longmapsto Momentum=40000kgm/s[/tex]
Open the attached image to see the question.
Answer:
option A
Explanation:
STOVE RADIATE ENERGY
do you think distance and time are relevant terms in describing motion?
Answer:
yes
Explanation:
because motion is relevant
Answer:
Motion is mathematically defined as displacement, distance, velocity, acceleration, speed, and time. The motion of a body is recognized by adding a frame of reference to an observer and measuring the change in position of the body related to that frame with the change in time.
White light is spread out into its spectral components by a diffraction grating. If the grating has 1,970 grooves per centimeter, at what angle (in degrees) does red light of wavelength 640 nm appear in first order? (Assume that the light is incident normally on the gratings.)
Answer;
7.238°
Explanation
From question we know that the grating has 1,970 grooves per centimeter, we can convert to from (cm) to (nm) for unit consistency
The slit separation is expressed below
d=1cm/1970
d=0.0005076
=5076nm
Then the angle (in degrees) that the red light of wavelength 640 nm appear in first order can be calculated using expression below
Sin(x)= mλ/d
Where λ= wavelength=640 nm
d=slit separation
Sin(x)= mλ/d
Sin(x)=(1×640)/5076
=0.126
sin-1(0.126)
X= 7.238°
Therefore,the angle (in degrees) that the red light of wavelength 640 nm appear in first order is 7.238°
Determine whether each sum, difference, product,
or quotient represents a rational number or an
irrational number. Explain how you know without
simplifying
Explanation:
The asked in the Question is missing, although i am assuming the number
as [tex]\frac{6}{23}[/tex] ÷[tex]\frac{\sqrt{2} }{2}[/tex].
The given expression contains an irrational number. So, the quotient will also be an irrational number.
Solving
[tex]\frac{6}{23}\times\frac{\sqrt{2} }{2} \\=\frac{3\sqrt{2} }{23}[/tex]
Which is an irrational number.
Which element would have the lowest electronegativity? (1 point)
an element with a small number of valence electrons and a large atomic radius
an element with a small number of valence electrons and a small atomic radius
an element with a large number of valence electrons and a small atomic radius
an element with a large number of valence electrons and a large atomic radius
Answer:
an element with a small number of valence electrons and a large atomic radius
A car covers a distace of 20km in 20 seconds. Calculate its speed in km/h m/s.
Answer:
speed = 3600 kilometers per hour
= 3600 km/h
speed = 1000 meters per second
= 1000 m/s
Answer From Gauth Math
How do FITT principles help you on your sports related activity
Answer:
F.I.T.T. stands for frequency, intensity, time and type. These four key aspects of your workout program will help you achieve your athletic goal, whether it's to increase your endurance, strength or speed. Here is an in-depth look at what each means and how to modify it to make athletic gains on the field...
An arrow is shot horizontally from the top of a building and it lands 200m from the foot of the building after 10 seconds. Assuming air resistance is negligeble, Calculate initial velocity and the height of the building
Answer:
Explanation:
from 2nd equation of motion
S=vi t +1/2 a(t)²
vi=2 s-at /t
vi=2*200 m- 9.8*10 /10
vi=302/10
vi=30.2 m/s
H= vi*t+1/2 a t^2
H=30.2*10+1/2 9.8*10
H=302+1/2*9.8*10
H=302+1/2(98)
H=302+98/2
H=506/2
H=253
Which property do the elements in each column of the representative elements series of the periodic table have in common?(1 point)
number of neutrons
number of orbitals
number of valence electrons
number of protons
The property that the elements in each column of the representative elements series of the periodic table have in common is: number of valence electrons.
An atom can be defined as the smallest unit comprising of matter that forms all chemical elements. Thus, atoms are basically the building blocks of matters and as such determines or defines the structure of a chemical element.
Generally, atoms are typically made up of three distinct particles and these are protons, neutrons and electrons.
Periodic table is an organized tabular array of all the chemical elements arranged in order of increasing atomic number (in rows).
Valence electrons can be defined as the number of electrons present in the outermost shell of an atom. Valence electrons are used to determine whether an atom or group of elements found in a periodic table can bond with others. Thus, this property is typically used to determine the chemical properties of elements.
In the periodic table, chemical elements that are having the same number of valence electrons are found in the same column.
This ultimately implies that, all the chemical elements such as Hydrogen, Sodium, etc., with one (1) valence electrons in their outermost shell (S-orbital) are found in the first (1st) column of the periodic table.
In conclusion, property that the chemical elements in each column of the representative elements series of the periodic table have in common is number of valence electrons.
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an astronaut takes a tuning fork with her to the moon she strikes it inside the cabin the cabin is normally filled with air so the humans inside the spacecraft are comfortable she also strikes it outside the spacecraft when she gets down on the surface of the moon which of the following is true about the tuning fork?
A: it does not vibrate inside the spacecraft
B: id does not vibrate on moon surface
C: it vibrations are not transmitted inside the spacecraft
D:it's vibrations are not transmitted to the moon's atmosphere
Answer:
The correct option is;
D: Its vibrations are not transmitted to the moon's atmosphere
Explanation:
A tuning fork is used to produce sound by vibration such that the tune produced is pure
The tune, sound, produced by the tuning fork is transmitted as sound wave through the air by means of the gases of the air as a transmission medium so people at a distance that have air around them can hear the tuning fork sound
On the Moon's surface, the atmosphere is very and it is referred to technically as an exosphere, so the sound of the tuning fork has no medium through which to transmit and therefore, it is not transmitted on the Moon's atmosphere.
A coin is placed at a depth of 15 cm in a beaker from the surface of water. Therefractive index of water is 4/3.Calculate height through which the image of the coin is raised.
I found this answer on another website.
n this activity, you will answer questions based on these two scenarios. Scenario 1 It’s the week before final exams, and Alicia is looking forward to graduation. However, she knows the week will be stressful. In addition to studying hard for her exams, her manager at work called and asked her to work an additional 15 hours. Her softball coach scheduled double practices to prepare for state finals. Her aunt has asked her to babysit her niece a few hours each night. On top of all this, she wants to spend some much-needed quality time with her friends. Alicia wishes there were 86 hours in a day instead of 24. Scenario 2 A small nation's economy depends on oil. The country’s earnings have declined greatly because of a recent drop in oil prices. The government uses these earnings to provide free education to all citizens under the age of 25. The country also uses its earnings to provide free health care and to provide benefits for retirees. The government also uses part of its earnings to help a neighboring country recover from a natural disaster. The president of the country imagines how much he could help his citizens if there weren’t any budget restrictions. Part A What do Alicia and the president have in common?
Answer: Alicia and the president do not have enough of a particular resource. Alicia doesn’t have enough time, and the president doesn’t have enough money.
Explanation: This is Plato's sample answer.
A ball is ejected to the right with an unknown horizontal velocity from the top of a pillar that is 50 meters in height. At the exact instant, a carriage moving on rails is also released to the right from the bottom of the pillar. Calculate the velocity with which the carriage should be released so that the ball falls in the carriage after the carriage has traveled a distance of 50 meters on the ground.
A. 12.20 meters/ seconds
B. 13.23 meters/ seconds
C. 14.30 meters/ seconds
D. 15.65 meters/ seconds**
E. 16.00 meters/ seconds
I believe D is right = 15.65m/s
Also ** on Plato
Answer:
D. 15.65 meters/ seconds**
Explanation:
You're correct. Use kinematic equation to find V_final.
[tex] {v}^{2} = {v 0}^{2} + 2a(xf - x0)[/tex]
Then use the following to find time.
[tex]t = (vf - v0) \div a[/tex]
Then 50m/3.2s = 15.65m/s