An investigator is using a laser to illuminate a distant target. He decides that he needs a smaller beam, so he puts a pinhole directly in front of the laser. He finds that this actually spreads the beam out, making matters worse.

Explain what is happening.

a. The pinhole has a size comparable with the laser wavelength, so the pinhole refracts the passing laser beam.
b. The pinhole has a size smaller than the laser wavelength, so the pinhole refracts the passing laser beam.
c. The pinhole has a size smaller than the laser wavelength, so the pinhole diffracts the passing laser beam.
d. The pinhole has a size comparable with the laser wavelength, so the pinhole diffracts the passing laser beam.

Answers

Answer 1

Answer:

correct answer is d

The pinhole has a size comparable with the laser wavelength, so the pinhole diffracts the passing laser beam.

Explanation:

The researcher does not have a refraction problem since the medium on both sides of the pinhole is the same with the same refractive index, the problem he is having is with the diffraction of the laser beam through the pinhole, let's analyze the diffraction process that is described by the expression

          a sin θ = m λ

where a is the pinlole size,  λ the wavelength of the laser and m an integer.

The laser extends from the maximum of diffraction to the first zero (m = 1) of diffraction

         sin θ =  λ/a

when analyzing this expression we have some interesting cases

* when  λ « a. the sine approaches zero therefore we are in the case of optical geometry, in this case the laser passes through the hole without being diffracted

* when  λ ≈ a.  the sine function has values ​​between 0 and 1, for which a diffraction of the laser beam occurs, which increases the diameter of the same

* when  λ> a.  The laser does not pass through the gap since the sine cannot have values ​​greater than 1

After this analysis, we review the answers to the exercise to find that the correct answer is d


Related Questions

A boy pulls with a 92.5 N force on the handle of a 27.5 kg wagon while the handle makes an angle of 35.0 degrees with the horizontal. If friction is negligible, and the boy pulls a total distance of 215.6 m, how much work has the boy done

Answers

Answer:

[tex]W_b \approx 16336J[/tex]

Explanation:

From the question we are told that

Force of pull [tex]F= 92.5[/tex]

Weight of handle [tex]W_h=27.5 kg[/tex]

Angle of handle [tex]\angle =35.0[/tex]

Distance [tex]d=215.6 m[/tex]

Generally the work done by the boy can mathematically be represented as

[tex]W_b=F*dcos \theta[/tex]

[tex]W_b=92.5*27.5 *cos(35)[/tex]

Therefore

[tex]W_b=16336.34922J[/tex]

[tex]W_b \approx 16336J[/tex]

A simple pendulum is constructed by hanging a 3 kg mass on the end of a 0.8 m long string. The pendulum is pulled back to a height of 0.2 m and released. At what time will the mass first reach its maximum velocity

Answers

Answer:

The time when the mass will reach its first maximum velocity  is 1.8 s.

Explanation:

Given;

mass of the pendulum, m = 3 kg

length of the pendulum, l = 0.8 m

height in which the pendulum is raised to, h = 0.2 m

the mass will reach its first maximum velocity when it returns to its initial position, i.e at the middle (x = 0).

the distance between the initial position of the pendulum and the height in which it is raised is the maximum displacement (A).

If we form a right angle triangle with respect to the height in which the pendulum is raised;

the height of the right triangle, H = L - 0.2 = 0.8 - 0.2 = 0.6 m

the hypotenuse side, = L = 0.8 m

the base of the triangle (opposite side) = A

A² = L² - H²

A² = (0.8)² - (0.6)²

A² = 0.28

A = √0.28

A = 0.529 m

The maximum velocity of the pendulum is calculated as;

[tex]V_{max} = A \omega\\\\V_{max} = A \sqrt{\frac{g}{l} } \\\\V_{max} = (0.529)\sqrt{\frac{9.8}{0.8} }\\\\V_{max} = 1.852 \ m/s[/tex]

The period is calculated as;

[tex]V_{max} = A\omega\\\\V_{max} = A (\frac{2\pi}{T} )\\\\T = \frac{2\pi A }{V_{max}}\\\\T = \frac{2\pi \ \times \ 0.529}{1.852} \\\\T = 1.8 \ s[/tex]

Therefore, the time when the mass will reach its first maximum velocity  is 1.8 s.

If a man traveled to a different planet

Answers

Answer:

He would be in space.

Explanation:

Answer: What would happen if a human traveled to Uranus?

As an ice giant, Uranus doesn't have a true surface. The planet is mostly swirling fluids. While a spacecraft would have nowhere to land on Uranus, it wouldn't be able to fly through its atmosphere unscathed either. The extreme pressures and temperatures would destroy a metal spacecraft.

Explanation:

Two stones are thrown from the top edge of a building with a speed of 20 m/s, one straight down and the other straight up. The first one hits the street in a time t1. How much later is it before the second stone hits

Answers

Answer:

Second stone hist at 4.08 s later.

Explanation:

The second stone straight up, so we need to find the rise and descent time.

[tex]v_{f}=v_{i}-gt[/tex]

At the top, the final speed is 0 and t is the rise time.

[tex]0=20-gt_{r}[/tex]

[tex]t_{r}=\frac{20}{9.81}[/tex]

[tex]t_{r}=2.04 s[/tex]

Let's recall that the rise time is equal to the descent time.

So the total time of the stone will be

[tex]t_{t}=4.08 s[/tex]

Now, the second stone hits the street in t2 = 4.08 s + t1 s

But we just need the time after the first stone hist the street. So we just subtract the time t1 to the second time t2, which means t2 = 4.08 s.

Therefore stone hist at 4.08 s later.

The second stone hits the wall 4.08 seconds later.

To solve this question, we will use the equation of motion. In particular, the first equation of motion which states that;

v = u + at, where

v = the final velocity

u = the initial velocity

a = acceleration of gravity

t = time taken by the stone.

From the question, we're told that the stone is thrown with a speed of 20 m/s, which is the initial velocity. And a final velocity, v of 0 m/s. Using a constant of 9.81 for acceleration of the stone. We have,

0 = 20 - 9.81 × t

20 = 9.81t

t = [tex]\frac{20}{9.81}[/tex]

t = 2.039or 2.04 seconds.

Assuming that the time taken to ascent = time taken to descent, this means that the total time taken will be 2.039 + 3.039 = 4.078 seconds or 4,08 seconds.

visit https://brainly.com/question/24040430 to learn more about the first equation

Find the magnitude of the impulse delivered to a soccer ball when a player kicks it with a force of 1360 N. Assume that the player's foot is in contact with the ball for 5.85 times 10^{-3} s. (Show your work)
please

Answers

Answer:

7.59Ns

Explanation:

Given parameters:

Force  = 1360N

Time of contact  = 5.85 x 10⁻³s

Unknown:

Impulse  = ?

Solution:

The impulse of the ball is given as:

        Impulse  = Force x time

       Impulse  = 1360 x 5.85 x 10⁻³ = 7.59Ns

a)Levers work because some forces produce a ______

plss helppp

Answers

Answer:

Force

Explanation:

For an organism to survive, it must acquire energy. What is an example of acquiring energy?
Question 3 options:


healing a cut or wound


eating an apple


sweating


running

answer quick plz

Answers

Answer:

eating an apple

Explanation:

Eating food gives your body the nutrients and energy it needs.

wht is a solar year?​

Answers

Answer:

A tropical year, also known as a solar year, an astronomical year, or an equinoctial year, is, on average, approximately 365 days, 5 hours, 48 minutes and 45 seconds long.

Explanation:

a solar year is the time between successive spring or autumn equinoxes, or winter or summer solstices, roughly 365 days, 5 hours, 48 minutes, and 46 seconds.

Scientists create models to better understand Earth. Which evidence has led scientists to conclude that there are different layers within Earth's interior?

A.analysis of seismic wave data


B.measurement of Earth's diameter


C.temperatures taken within each layer


D.rock samples taken from Earth's core

Answers

Answer:

it is A or D

Explanation:

     

Answer:

ANswer:A

Explanation:

Katrina pushes off a flat sidewalk on her new skateboard
What causes her to move?



Answers

Answer:

Gravity and Friction

Explanation:

How gravity and friction work which u probably know

A force of 40 N accelerates a 5 block at 6 m/s ^ 2 along a horizontal surface a. What would the block's acceleration be if the surface were frictionless. b. How large is the kinetic friction force? cWhat is the coefficient of kinetic friction?

Answers

Answer:

a = 8 m/s^2, Ffriction = 10 N, μk = 0.205

Explanation:

a. Force = Mass*Acceleration,

(since you didn't add the units..."5 block"....for the mass, I will assume it to be in kg, per SI units)

40 N = 5 kg*acceleration,

a = 40/5 = 8 m/s^2

b. As you know newtons second law (F=m*a) is actually in the form Fnet = m*a. Which means that if the friction force comes into play, it would be Fapplied - Ffriction = m*a.

Fapplied - Ffriction = m*a,

40 - Ffriction = 5*6,

40 - Ffriction = 30,

Ffriction = 40 - 30 = 10 N

c. The coefficient of kinetic friction is calculated by the formula "Ffriction = μk*Fnormal".

10 = μk*Fnormal (Fnormal = m*g = 5*9.8)

10 = μk*49,

μk=10/49 ≈ 0.205

If a truck loses 5610 J of energy as it slows down due to an external force of 425 N, what distance will it have moved after the force is first applied

Answers

Answer:

13.2m

Explanation:

Step one:

given data

Energy= 5610J

Force F= 425N

Required

The distance traveled

Step two:

We know that work done is given as

WD= force* distance

so

5610=425*d

divide both sides by 425

d= 5610/425

d=13.2m

If the kinetic energy of a given mass is to be doubled, its speed must be multiplied by
1) 4
2) 2
3) 8
4) 2

Answers

Answer:

Either B or D. The answer itself is 2.

Explanation:

The equation for the kinetic energy would be 1/2*mv^2.

When m is doubled, we can plug in 1 and 2 to compare our answers.

Plugging in 1 for mass would give us the answer 1/2*v^2.

Plugging in 2 for mass would give us v^2. This means that the velocity was multiplied by 2, meaning that the answer is it is multiplied by 2.

I am not sure which answer is correct since there seems to be two answer choices with 2 in it, but the answer is either B or D (I will call it ABCD because I do not want to cause confusion by saying 2 multiple times).

Which layer of the blood vessel is made of strong, flexible fibrous connective tissue?

the innermost layer

the middle layer

the outermost layer

all layers

Answers

circulatory system
The tunica adventitia, the outermost layer, is the strongest of the three layers. It is composed of collagenous and elastic fibres. (Collagen is a connective-tissue protein.) The tunica adventitia provides a limiting barrier, protecting the vessel from overexpansion.

A SONAR used in a ship sends ultrasound waves and receives the echo after 2.0 s.Find the depth of the shoal of fish if the speed of sound in water is 1250 m/s

Answers

Given :

A SONAR used in a ship sends ultrasound waves and receives the echo after 2.0 s.

To Find :

The depth of the shoal of fish if the speed of sound in water is 1250 m/s.

Solution :

Let, the depth of the shoal fish is d.

Now, it is given that it takes 2.0 s to receive the echo.

Also, distance covered by echo is 2d.

Now, 2d = s × t

2d =  1250 m/s × 2 s

d = 1250 m

Therefore, the depth of the shoal of fish is 1250 m.

Two laboratories use radiocarbon dating to measure the age of two wooden boat fragments found at the site of an ancient
shipwreck. Lab A finds an age of 515 +/-20 years for the first object; lab B finds an age of 585 +/-30 years for the second
object. Which of the following is true?
a. Lab B's reading is more accurate than Lab A's.
b. Lab B's reading is less accurate than Lab A's.
Lab B's reading is more precise than Lab A's.
d Lab B's reading is less precise than Lah A's
C

Answers

Answer:

Answer d) Lab B's reading is less precise than Lab A's

Explanation:

Recall that accuracy is a measure of how close to the actual physical quantity the experiment leads to. In this case, we don't know what the true age is,so we cannot tell which reading is more accurate.

But we can tell which reading is more precise given the value of their reported errors. Since Lab A shows a smaller error in years (+/- 20 years versus 30 years), as well as a smaller percent error (3.9% versus 5.1%), we can say that Lab's A reading is more precise than Lab B's reading.

This agrees with answer labeled d).

A television connected to a 120 V line uses 102 Watts of power. How much current flows through it?
a. 12240 amps
b. 0.85 amps
c. 0.85 Watts

Answers

Answer: 0.85amps

Explanation: Power = 102watts; Voltage = 120voltsP = IxV ; I = P divided by V = 102 divided by 120 = 0.85amps

What does a neutron look like

Answers

A neutron is part of an atom

What is the balance of
C2H6=C2H4+H2

Answers

Answer:

I don't get the question

Using the CER, write an essay describing what might influence some teens to choose a sedentary lifestyle. 1. suggest ways to encourage these teens to become more physically active. 2. Use correct spelling and punctuation. Use no less than 8 sentences. *

Answers

Answer:

Sedentary lifestyle is the lifestyle by which most physical activity is abandoned, performing activities that do not require energy consumption or large muscle movements on a large scale, such as using a computer, driving a car or playing video games.

Today, most young people have gradually turned towards sedentary lifestyles, mainly motivated by the increase in technological availability, and the extensive dependence generated on technology both to communicate with their peers (cell phones, social networks, etc. .) and for leisure time (video games, etc.).

Some ways to promote physical activity in young people and prevent sedentary lifestyle can be to create sports groups, where young people can establish social relationships without depending on networks or technological devices, or establish tasks of physical activity during study or work hours.

The image below shows four points on the orbit of a comet around the Sun.
At which point does the comet have the most gravitational potential energy?
A. Point B
B. Point A
C. Point C
D. Point D

Answers

The comet will have the most gravitational potential energy at : ( B ) Point A

Given that the gravitational potential energy between two bodies is expressed as

Ux = - GMm / d ------ ( 1 )

where :

G = gravitational constant

M = mass of larger body ( sun )

m = mass of comet

d = distance between the bodies

Therefore the greater the distance ( d ) between the bodies the less negative the potential gravitational energy the smaller body will possess. from the image attached below, the point on the orbit that is farthest from the sun is Point A

Hence we can conclude that the comet will have the most gravitational potential energy at : ( B ) Point A

Learn more about gravitational potential energy : https://brainly.com/question/15849218

Answer: its letter c

Explanation:

Estimate the weight of honey that it would take to fill a bathtub. What factor is this heavier is this from water

Answers

Answer:

Weight of honey required to fill bath tub  is 435kg

Honey is 1.45 times heavier than water

Explanation:

Rough volume of a bathtub is 300 litres

density of honey is 1.45 kg/L

Density of honey in bath tub is given by

[tex]\rho = \frac{mass}{volume}[/tex] where, mass is the weight of honey in bath tub and volume is volume of bath tub

on substituting the given values in above equation we get

1.45 = [tex]\frac{mass}{300}[/tex]

⇒1.45 x 300 = mass of honey in bath tub or weight of honey

weight of honey required to fill bath tub  is 435kg

density of water is 0.997 kg/L

therefore for the same amount of volume the ratio of weight of honey to water is equal to ratio of density of honey to water

∴ [tex]\frac{W_h}{W_w} = \frac{\rho_h}{\rho_w}[/tex]

on substituting the value of densities we get

[tex]\frac{W_h}{W_w} = \frac{1.45}{1}[/tex]

honey is 1.45 times heavier than water

For a wave, what term is defined as the maximum height of a crest, or depth of a trough, relative to the normal level

Answers

Answer:

Amplitude.

Explanation:

Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.

Basically, as a result of radio waves having long wavelengths, they are mainly used in long-distance communications such as the carriage and transmission of data. Some examples of communication technologies that uses radio waves are radio set, mobile phones, television etc.

For a wave, an amplitude is defined as the maximum height of a crest, or depth of a trough, relative to the normal level

What must be the length of a simple pendulum if its oscillation frequency is to be equal to that of an air-track glider of mass 0.250 kg attached to a spring of force constant 9.75 N/m

Answers

Answer:

the length of the simple pendulum is 0.25 m.

Explanation:

Given;

mass of the air-track glider, m = 0.25 kg

spring constant, k = 9.75 N/m

let the length of the simple pendulum = L

let the frequency of the air-track glider which is equal to frequency of simple pendulum = F

The oscillation frequency of air-track glider is calculated as;

[tex]F = \frac{1}{2\pi } \sqrt{\frac{k}{m} } \\\\F = \frac{1}{2\pi } \sqrt{\frac{9.75}{0.25} } \\\\F = 0.994 \ Hz[/tex]

The frequency of the simple pendulum is given as;

[tex]F = \frac{1}{2\pi} \sqrt{\frac{g}{l} } \\\\2\pi(F) = \sqrt{\frac{g}{l} } \\\\2\pi (0.994) = \sqrt{\frac{9.8}{l} } \\\\6.2455 = \sqrt{\frac{9.8}{l} } \\\\(6.2455)2 = \frac{9.8}{l} \\\\39.006 = \frac{9.8}{l} \\\\l = \frac{9.8}{39.006} \\\\l = 0.25 \ m[/tex]

Thus, the length of the simple pendulum is 0.25 m.

Pablo's engineering team has developed a new material that is strong enough to withstand major impacts, including bullets, without breaking or deforming. He plans to design a new type of motorcycle helmet using the material as its outside covering. A prototype of the helmet is shown below. Pablo knows that other types of motorcycle helmets have outside coverings that bend and deform slightly on impact. So if Pablo's new helmet is going to be as effective at protecting people's heads as existing helmets, he'll need to

A.
slightly reduce the total mass of the new helmet by reducing the amount of internal cushioning.
B.
maximize the total mass of the helmet by adding flexible steel to the outside covering.
C.
increase the amount of cushioning on the inside of the new helmet to help it absorb impacts.
D.
use a thicker outside covering than other helmets to help prevent deformation even further.

Answers

Answer:

the answer is c

Explanation:

What are some things that the outer planets have in common?

Answers

Answer:

there round that's one thing

Answer:

large size, number of moons, lack solid surfaces and none are capable of supporting life.

Explanation:

The peripheral nervous system transfers information from the _______ to the rest of the body.

a. interneurons

b. sensory neurons

c. brain

d. glands

Answers

it’s B sensory nerves, that is if I am remembering correct

The peripheral nervous system transfers information from the sensory neurons to the rest of the body.

What is the function of peripheral neutrons?

The peripheral nervous system transfers information from the sensory organs organs and muscles. The axons of these nerve cells can be found throughout the body. Information is received by the dendrites of nerve cells and the information moves down the axon to the cell body.

So we can conclude that the peripheral nervous system transfers information from the sensory neurons to the rest of the body.

Lear more about nervous here: https://brainly.com/question/2114466

#SPJ2

In a particular crash test, an automobile of mass 1577 kg collides with a wall and bounces back off the wall. The x components of the initial and final speeds of the automobile are 17 m/s and 1.5 m/s, respectively. If the collision lasts for 0.18 s, find the magnitude of the impulse due to the collision. Answer in units of kg · m/s.

Answers

Answer:

Ft=24,443.5 kgm/s

Explanation:

Step one

Given data

Mass of automobile m=1577kg

Initial Velocity u=17m/s

Final Velocity v=1.5m/s

Time t=0.18s

Step two

From the impulse and momentum equation

Ft=mΔv

Substitute

Ft=1577*(17-1.5)

Ft=1577*15.5

Ft=24,443.5 kgm/s

3.) Brady walks 5 meters forward, turns right, walks 25 meters, turns right again, walks 5
meters, then turns left and walks 10 meters. What are Brady's distance and
displacement?

Answers

Answer:

Distance covered is: 45 meters

Displacement is 15 meters to the right of where he started

Explanation:

Notice that Brady has walk a path that looks like an incomplete rectangle of height 5 meters and length 25meters, although he actually didn't cover the full length (25 meters) when getting back to the point where he started (he made just 10 meters instead of 25 after the third turn right) See attached image.

Therefore, Brady's displacement is 15 meters to the right of where he started, and the total distance he covered is :

Distance = 5m + 25m + 5m + 10m = 45m

Supplements are designed to replace a meal.
True
False

Answers

Answer:

the answer to your question is false.

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