Solution :
Given :
Wavelength of the thin beam of light, λ = 50 μm
Distance of the screen from the slit, D = 3.00 m
Width of the fringe, Δy = ±8.24 mm
Therefore, width of the slit is given by :
[tex]$d=\frac{n \lambda D}{\Delta y}$[/tex]
[tex]$=\frac{2 \times 50 \times 10^{-9} \times 3}{2 \times 8.24 \times 10^{-3}}$[/tex]
= 0.000018203 m
= 0.0182 mm
= 0.018 mm
The intensity of light is given by :
[tex]$I=I_0\left(\frac{\sin \beta /2}{\beta/ 2}\right)^2$[/tex] , where [tex]$\beta=\frac{2 \pi D \sin \theta}{\lambda}$[/tex]
[tex]$I=I_0\left(\frac{\sin \frac{\pi d \sin \theta}{\lambda}}{\frac{\pi d \sin \theta}{\lambda}}\right)^2$[/tex]
[tex]$I=I_0\left(\frac{\sin \frac{\pi d y}{D\lambda}}{\frac{\pi d y}{D\lambda}}\right)^2$[/tex]
Now, [tex]$\frac{dy}{D \lambda} = \frac{8.24 \times 10^{-3}\times 0.018 \times 10^{-3}}{4 \times 50\times 10^{-9}\times 4}$[/tex]
= 0.1854
≈ 0.18
[tex]$I=I_0\left(\frac{\sin 0.56}{0.56}\right)^2$[/tex]
[tex]$=I_0 \times 0.81$[/tex]
= 2 x0.81
[tex]$= 1.62 \ W/m^2$[/tex]
Energy transfer when a moving toy car hits a tennis ball. Also, energy transfers when the tennis ball rolls and hits CDs, making the CDs fall like a domino.
Plz help me asap! I don't know the energy transfers... :(
Answer:
it would be conduction but i dont know the answer choices
Explanation:
and convection would be the movement caused within a fluid by the tendency of hotter and therefore less dense material to rise, and colder, denser material to sink under the influence of gravity, which consequently results in transfer of heat.
A 1.2 m long wave travels 11.2 m to a wall and back again in 4.0 s. What is
the FREQUENCY of the wave*
Answer:
f = 4.67 Hz
Explanation:
We can approximate the wave as a traveling wave, therefore the speed of the wave is constant
v = d / t
the total distance remember, in going to the wall and back is
d = 2 11.2 = 22.4 me
we substitute
v = 22.4 / 4.0
v = 5.6 m / s
now we can use the relationship between the speed of the wave, its wavelength and u frequency
v =λ f
f = v /λ
f = 5.6 / 1.2
f = 4.67 Hz
Earth's plates move slowly across its surface. What will result when two
plates carrying continental crust collide?
Mountains will fall
A valley will be created
All land faults on Earth will be affected.
One plate will be subducted back into the mantle.
Can someone please help me with science.
Answer:
Yes
Explanation:
Yes I try to help you with science
The Sun is composed entirely of oxygen and helium.
True
False
(for astronomy)
Answer:
It's true.
And this makes the state of the sun to be "plasma"
Answer: It is False.
Explanation: I am on my final test for Astronomy. And I study really hard and I know its the right answer.
2. The force between charges is 7 N. The distance between the charges is 4 x 10-6 m. If one of the charges is 2 x 10-8 C, what is the strength of the other charge?
3. A pair of equal charges are separated by .75 m. There's a 2500 N force acting on them. What is the strength of the charge?
Plz help!!!!!!
Answer:
2) 6.22 × 10^-13
3) 4.56 × 10^-4
Explanation:
what is the velocity of a ball right before it hits the ground if it falls from a 2.5 m bookshelf?
Answer:
vf = 7 m/s
Explanation:
The final velocity of the ball right before it hits the ground can be found by using the third equation of motion:
[tex]2gh = v_f^2 - v_i^2[/tex]
where,
g = acceleration due to gravity = 9.81 m/s²
h = height = 2.5 m
vf = final velocity = ?
vi = initial velocity = 0 m/s
Therefore,
[tex]2(9.81\ m/s^2)(2.5\ m) = v_f^2 - (0\ m/s)^2\\v_f = \sqrt{49.05\ m^2/s^2}\\[/tex]
vf = 7 m/s
A baseball sits motionless near first base on a baseball diamond. What statement best explains why the baseball remains motionless?
Answer:
Because no one is using that ball, so it is motionless
Answer:
No one is using the ball (dead ball) and therefore it is motionless and out of play
Explanation:
Choose the best scientific reasoning for how objects with different amounts of mass can influence the rate at which they slow down.
Answer:
The heavier something is, the harder it is to slow down. As such, higher amounts of mass result in a lower rate of slowing.
Some of our appliances have a magnet in it.
yes or no
Answer:
yes !!
Explanation:
Magnets can be found in the simplest or most complex devices you use every day. From home appliances such as the refrigerator, microwave oven and electric fan, to your company's office equipment such as computers and printers. All these devices use magnets.
As current intensity increases, the strength of the magnetic field around both a current-carrying wire and solenoid decreases.
Explanation:
The magnetic field around a wire is given by :
[tex]B=\dfrac{\mu_o I}{2\pi r}[/tex] .......(1)
Where
I is current
r is the distance from wire
The magnetic field around the solenoid is given by :
[tex]B=\mu_o NI[/tex] .....(2)
Where
N is the no. of turns per unit length
From equation (1) and (2), it is clear that the strength of the magnetic field in both current-carrying wire and the solenoid is directly proportional to the current. So, as current intensity increases, the strength of the magnetic field around both a current-carrying wire and solenoid increases. The given statement is false.
Which explanation best compares the movement of particles in the three states of matter?
A.
Particles in a gas can only vibrate. In a solid, they slide against each other. In a liquid, they move freely, bouncing and bumping into each other.
B.
Particles in a solid can only vibrate. In a liquid, they slide against each other. In a gas, they move freely, bouncing and bumping into each other.
C.
Particles in a liquid can only vibrate. In a gas, they slide against each other. In a solid, they move freely, bouncing and bumping into each other.
D.
Particles in a solid can only vibrate. In a gas, they slide against each other. In a liquid, they move freely, bouncing and bumping into each other.
E.
Particles in a liquid can only vibrate. In a solid, they slide against each other. In a gas they move freely, bouncing and bumping into each other.
Answer: B
Explanation:Solids are packed thus molecules are restricted and can only vibrate. Liquids, on the other hand, molecules can move and slide against each other since they are loosely packed. Lastly, gas particles is very loosely packed so they can move freely.
How can a conductor be made superconductor?
Answer:
a superconductor in a magnetic field and you'll make electric currents flow through its surface. These currents create a magnetic field that exactly cancels the original field trying to get inside the superconductor and repelling the magnetic field outside.
Explanation:
4. Mr. G has found two rocks which he needs to classify. Classify both rocks correctly based on the knowledge stated below
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiineeeedhelp
Two small nonconducting spheres have a total charge of 94.0 μC . Part A
When placed 31 cm apart, the force each exerts on the other is 11.5 N and is repulsive. What is the charge on each?
Q1,Q2=
Part B
What if the force were attractive?
Q1,Q2=
Answer:
Part A;
The charges are;
Q₁ = 1.32687 μC and Q₂ = 92.67313 μC
Part B
Q₁ = 95.29042 μC, Q₂ = -1.29042 μC
Explanation:
Part A
The total charge on the two nonconducting spheres = 94.0 μC
The force exerted by each on the other when placed 31 cm apart = 11.5 N
Let Q₁ = x represent the charge on one of the spheres and let Q₂ represent the charge on the other sphere
The force, 'F', exerted by a charge is given as follows;
[tex]F = k \times \dfrac{\left | Q_1 \right | \cdot \left | Q_2 \right | }{d^2}[/tex]
Where;
d = The distance between the spheres = 31 cm = 0.31 m
k = 8.9875 × 10⁹ N·m²/C²
Where F = 11.5 N
Q₁ + Q₂ = 94.0 μC
∴ Q₂ = 94.0 - Q₁ = 94.0 - x
We get;
[tex]F =11.5 = 8.9875 \times 10^9 \times \dfrac{x\times (94.0-x) \times 10^{-12}}{0.31^2}[/tex]
Therefore;
94·x - x² - 122.965 = 0
x² - 94·x + 122.965
x = (94 ± √((-94)² - 4×1×122.965))/(2 × 1)
Solving gives;
x ≈ 1.32687 × 10⁻⁶ C or x = 92.67313 × 10⁻⁶ C
Therefore, the charges are;
Q₁ = 1.32687 × 10⁻⁶ C and Q₂ = 92.67313 × 10⁻⁶ C
Q₁ = 1.32687 μC and Q₂ = 92.67313 μC
Part B
For attractive force, we have;
Q₁ + Q₂ = 94 × 10⁻⁶...(1)
[tex]11.5 = 8.9875 \times 10^9 \times \dfrac{-x\times (94.0-x)}{0.31^2} = 8.9875 \times 10^9 \times \dfrac{-Q_1\times Q_2}{0.31^2}[/tex]
-Q₁ × Q₂ = 11.5 × 0.31²/(8.9875 × 10⁹) = 1.2296523 × 10⁻¹⁰...(2)
∴ Q₂ = -1.2296523 × 10⁻¹⁰/(Q₁)
Q₁ + Q₂ = Q₁ - 1.2296523 × 10⁻¹⁰/(Q₁) = 94 × 10⁻⁶
Q₁² - 94 × 10⁻⁶·Q₁ - 1.2296523 × 10⁻¹⁰ = 0
∴ Q₁ = (94 × 10⁻⁶ ± √((-94 × 10⁻⁶)² - 4 × 1 × 1.2296523 × 10⁻¹⁰))/(2×1)
Q₁ = 9.529042 × 10⁵ C or -1.29042 × 10⁻⁶ C
Therefore, Q₁ = 9.529042 × 10⁵ C and Q₂ = -1.29042 × 10⁻⁶ C
Q₁ = 95.29042 μC and Q₂ = -1.29042 μC
Which pair of sentences best describes a scientific discovery in A Black Hole Is NOT a Hole by Carolyn Cinami DeCristofano?
The answer is C.
Answer:
A question with an Answer? Wowza!
Explanation:
Answer:
First, scientists studied radio waves coming from space. Next, other scientists used their discoveries to identify black holes.
Explanation:
hope this helped
Table is in the picture. and will mark brainstest
Here is the question
Based on the table, which list orders materials from most conductive to least conductive?
A) copper, zinc, plastic glass insulator weak plastic insulator medium B) rubber, copper, glass rubber insulator strong zinc conductor weak
C) aluminum, glass, zinc
D) zinc, copper, aluminum
Answer:
C
Explanation:
Answer: Rubber, copper, aluminum, plastic, zinc, glass
Explanation:Or something along those lines
The complementary color of blue is?
Answer:
I think it's red so yeah hdjjdbebe
Which is an example of a polyatomic ion?
Answer:
Well-known examples of such polyatomic ions are the sulfate ion (SO42–), the hydroxide ion (OH–), the hydronium ion (H3O+), and the ammonium ion (NH4+).
Explanation:
Answer:
is there more context to go with this question? Like a photo?
I will give it my best shot anyhoo
Explanation:
Polyatomic ions: they are covalently bonded groups of atoms and having a positive or negative charge caused by the formation of an ionic bond with another ion.
And if your question is anything like the one I had a few days ago on a test, your answer would be something like "Both hydroxide cation (OH -) and phostphate cation (PO 4 3 -) are polyatomic ions)
It is a good idea to read or exchange text messages during all of the following times EXCEPT:
A.
while driving a car
B.
while eating lunch
C.
while waiting at the doctor's office
D.
while riding a bus
Please select the best answer from the choices provided.
A
B
C
D
Answer: A while driving a car. It is unsafe
Answer:
It is a good idea to read or exchange text messages during all of the following times except while driving a car.
Explanation:
Eating lunch and using your phone is very safe. The only way I can see it being bad is if you handed your phone to some toddlers and took it back without wiping it off!
If you're waiting for your appointment or waiting to reach your destination, then there is also no harm. As long as you are not driving the bus or you're not the doctor working on patients while texting, then this should be alright.
This leaves us with driving. The commercials tell us. Common knowledge tells us. Hopefully, parents or colleagues or even your own kids (I've had to do this to my dad countless times before) have told you this...
DO NOT TEXT WHILE DRIVING.
So many accidents happen solely for this reason. People, just put down the phone and wait 'til you're at a red light or, even better, when you reach your destination.
So no, it is not a good idea to read OR exchange text messages while driving. Any other time? Well, go ahead! But if you're in that driver seat and your currently in the road with other cars, take into consideration the fact you are not the only person there. Keep everyone safe and drop that phone!
....
My bad, I got long winded. Hope this helped!
Source(s): TV Commercials, myself.
A light source has a frequency of 7.56 x 1014 Hz. What is the wavelength, in nanometers (nm), of this light when it passes through a prism of refractive index of 1.53?
Answer:
2nm
Explanation:
The star Betelgeuse is 6.1 x 10^18 m away from Earth. How old is the light we see from that star when it reaches us? There are 3.2 x 10^7 seconds in a year (1 point)
635 years old
481 years old
727 years old
559 years old
Answer:
635 years old
Explanation:
The light reaching the earth from the sun will travel at a speed called the speed of light, and this has a universal value of 3 × 10⁸ m/s. Bearing this in mind, let us calculate the age of the light reaching the Earth from the sun:
Distance of star from Earth = 6.1 × 10⁸m
Speed of light = 3 × 10⁸ m/s
We have distance and speed, let us calculate the time of travel of the light from the star to the earth.
Distance = speed × time
6.1 × 10⁸ = 3 × 10⁸ × time
[tex]time = \frac{6.1 \times 10^{18}}{3 \times 10^8}[/tex]
In order to do the division above, we will divide the whole numbers normally, then we will apply the law of indices to the power that says:
Xᵃ ÷ Xᵇ = X⁽ᵃ⁻ᵇ⁾
[tex]\therefore time = \frac{6.1 \times 10^{18}}{3 \times 10^8}\\= \frac{2.03 \times 10^{(18-8)}}{1} \\= 2.03 \times 10^{10}}\ seconds[/tex]
Next, we are told that there are 3.2 × 10⁷ seconds in a year.
∴ The number of years travelled by the light from the star:
[tex]3.2\ \times 10^7\ seconds = 1\ year\\1\ second = \frac{1}{3.2\ \times 10^7} \\\therefore 2.03 \times 10^{10}\ seconds = \frac{2.03 \times 10^{10}}{3.2\ \times 10^7}[/tex]
please note that:
2.03 × 10¹⁰ = 20300000000
3.2 × 10⁷ = 32000000
[tex]\therefore \frac{2.03 \times 10^{10}}{3.2\ \times 10^7}\\= \frac{20300000000}{32000000} \\\\= \frac{20300}{32} \\= 634.347\ years\\[/tex]
The closest answer in the option is 635 years, and we are short of this by some points due probably to approximations in the calculation.
Which direction will thermal energy flow if you pick up a snowball with your bare hand? Thermal energy will flow from the snowball to your hand. Thermal energy will flow from your hand to the snowball. Thermal energy will not flow between your hand and the snowball.
Answer:
b. Thermal energy will flow from your hand to the snowball.
Explanation:
Answer:
B
Explanation:
A rod is given a charge of +16.7 UC, how many extra protons does It contain?
Answer:
We know that the electronic charge is 1.6 E-19 coulombs
Therefore 1 coulomb of charge contains 1.6 E19 electrons
A charge of 16.7 E6 coulombs therefore contains
N = 16.7 E6 * 1.6 * E-19 = 2.67 E-12 electrons
Also, the charge on the proton equals that on the electron
Some individuals have developed to use echolocation and thus able to see even if they are blind, True or False
Answer:
please give me brainlist and follow
Explanation:
The good news is that anyone can learn this ability, blind or sighted. Lore says that echolocation requires probably as much commitment as developing expert long cane skills. Lore acknowledges that, while there are many people who have some basic echolocating skills, there are only a few who really master this ability.
A car Starts from rest and moves with constant acceleration.During the 5th second of its motion, it covers a distance of 36 meters. What is the acceleration of the car? A) 12 meter per second B) 8 meter per second C) 15 meter per second D) 16 meter per second E) 14 meter per second
Answer:
Acceleration of the car = 2.88 meter/second²
Explanation:
Given:
Car starts from rest
So,
Initial velocity = 0 m/s
Time taken = 5 second
Distance cover in 5 seconds = 36 meter
Find;
Acceleration of the car
Computation:
Using second equation of motion
S = ut + (1/2)(a)(t²)
Where;
S = Distance cover
u = Initial velocity
a = Acceleration
t = time taken
So,
S = ut + (1/2)(a)(t²)
36 = (0)(5) + (1/2)(a)(5²)
36 = (1/2)(a)(25)
36 x 2 = (a)(25)
72 = (a)(25)
Acceleration of the car = 2.88 meter/second²
1. What is the pressure caused on the ground by an elephant of weight 20000N
if each foot has an area of 0.2m??
Answer:
2000 pascal
Hope it helps
You are running late for class and are still in the hallway when the bell rings. The tardy bell is right outside your classroom door, and your teacher is standing directly beneath it. If you are running towards the bell when it rings, which of the following best describes what you hear? (DOK 1)
Question 8 options:
A. You hear a higher pitch than your teacher
B. You hear a lower pitch than your teacher
C. You hear a louder pitch than your teacher
D. You hear the same pitch as your teacher
Answer:
C
Explanation:
You will hear a lower pitch of sound than your teacher who is directly below the bell.
The pitch of a sound refers to how high or low the sound is. If a sound is high we say that it has a high pitch and vice versa.
We must note that the closer you are the bell the higher the pitch of the bell sound you hear. Hence, you will hear a lower pitch of sound than your teacher who is directly below the bell.
Learn more about pitch of sound: https://brainly.com/question/4206267
what is newton's second law of motion?
Answer:
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.