1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alja [10]
2 years ago
15

A beam of electrons is accelerated from rest through a potential difference of 0.400 kV and then passes through a thin slit. Whe

n viewed far from the slit, the diffracted beam shows its first diffraction minima at ± 15.1 ∘ from the original direction of the beam.
Physics
2 answers:
Oksi-84 [34.3K]2 years ago
8 0

Answer:

v= 103.5 V; energy =1.65 x 10^-17

Explanation:

the deflected energy eV sin θ

bixtya [17]2 years ago
5 0

Here is the full question:

A beam of electrons is accelerated from rest through a potential difference of 0.400 kV and then passes through a thin slit. When viewed far from the slit, the diffracted beam shows its first diffraction minima at ± 15.1° from the original direction of the beam.

How wide is the slit?

Answer:

0.235 nm

Explanation:

Given that:

The potential difference (V) = 0.400 kV = 400 V

angle  of diffraction (θ) = 15.1°

Using the conservation energy to determine the seed of the electron; we have:

\frac{1}{2}mv^2 = eV

Making v the subject of the formula; we have:

v = \sqrt{\frac{2eV}{m}}

where our constants are

m = 9*10^{-31} kg

e = 1.60*10^{-19} C

given potential difference (V) = 0.400 kV = 400 V

substituting our parameters; we have:

v = \sqrt{\frac{2(1.60*10^{-19}C(400V)}{9.1*10^{-31}kg}}

v= 11.90 *10^6ms^{-1

From De broglie wave equation;

\lambda = \frac{h}{mv}    --------------Equation(1)

Davisson and Germer Experiment also shows that;

asin \theta=n \lambda

making \lambda the subject of the formula; we have:

\lambda = \frac{asin \theta}{n}  --------------- Equation (2)

Equating equation (1) and (2); we have:

\frac{asin \theta }{n} =\frac{h}{mv}

{asin \theta } =n\frac{h}{mv}

a=\frac{n}{sin \theta}(\frac{h}{mv}  )       -----------  Equation(3)

where;

a = width of the slit

n = order of diffraction

θ = angle of diffraction

Since we were told that when the beam of electrons were viewed from the slit, the diffracted beam shows its first diffraction minima ;

then (n) = first order = 1

where: h = 6.63 *10^{-34} kgm^2s^{-1}

n = 1

m = 9.1*10^{-31}kg

v= 11.90 *10^6ms^{-1

θ  = 15. 1°

Substituting our values into equation (3); we have:

a=\frac{6.63*10^{-34}*(1)}{(9.1*10^{-31})(11.9*10^6)(sin15.1)}

a=2.35*10^{-10}m

Converting m to nm; we have

a=(2.350*10^{-10}m)(\frac{1nm}{10^{-9}m} )

a = 2.35*10^{-1}nm

a = 0.235 nm

∴ the width of the slit = 0.235 nm

I hope that helps alot!

You might be interested in
1)Calculate the mass of a girl that has a weight of 113 Newtons.
Blababa [14]

Answer:

Explanation:We should know that weight = mass * gravity.

That is weight equals mass times gravity.

Gravity is a force of attraction between any two bodies in the universe. It is directly proportional to product of their masses and inversely proportional to the square of the distance between them.

Gravity is generally measured in terms of acceleration due to gravity, denoted as g. For Earth it is, 9.8 m/s². And for moon, it is about 1.62 m/s².

On Earth, your weight is 70 kg = W

W = mass x 9.8

70 = mass x 9.8

Your mass is 70/ 9.8

i.e approximately 7.14

Weight at the Moon, W' = 7.14 x 1.62

Hence, your weight on the surface of the moon is just 11.56 kg.

Congratulations, you've lost about 58.14 kilograms without any hard exercise. And you're as light as a Sweedish Vallhund! Cheers!

3 0
2 years ago
A marble resting near the edge of .90 m high table is given an initial horizontal speed of 1.24 m/s. What will be it’s horizonta
Maru [420]

Answer:

0.53 m

Explanation:

First of all, we have to consider the vertical motion of the ball, in order to find the time it takes for the marble to reach the ground. The initial height is h=0.90 m, the initial vertical velocity is zero, while the acceleration is g=-9.81 m/s^2, so the vertical position at time t is given by

y(t)=h-\frac{1}{2}gt^2

By demanding y(t)=0, we find the time t at which the ball reaches the ground:

0=h-\frac{1}{2}gt^2

t=\sqrt{\frac{2h}{g}}=\sqrt{\frac{2(0.9 m)}{9.81 m/s^2}}=0.43 s

Now we can find the horizontal range of the marble: we know the initial horizontal speed (v=1.24 m/s), we know the total time of the motion (t=0.43 s), and since the horizontal speed is constant, the total distance traveled on the horizontal direction is

x=vt=(1.24 m/s)(0.43 s)=0.53 m

8 0
3 years ago
Sound and light are both found as _____, with a variety of ____. The sun, a source of light waves specifically, releases a type
Novosadov [1.4K]

Answer:

Waves; wavelength; electromagnetic energy; ultraviolet light.

Explanation:

Sound are mechanical waves that are highly dependent on matter for their propagation and transmission.

Sound travels faster through solids than it does through either liquids or gases.

Light wave can be defined as an electromagnetic wave that do not require a medium of propagation for it to travel through a vacuum of space where no particles exist.

Hence, sound and light are both found as waves, with a variety of wavelength. The sun, a source of light waves specifically, releases a type of electromagnetic energy. It can be found as UVA or UVB types. These lights give off different levels of ultraviolet light, some of wich can be harmful.

Additionally, the ultraviolet spectrum is divided into three categories and these are; UVA, UVB and UVC.

6 0
2 years ago
How can scientists study the inner structure of an atom?
Arturiano [62]
A microscope is one way
8 0
3 years ago
A circular loop of flexible iron wire has an initial circumference of 165.0cm, but its circumference is decreasing at a constant
vovangra [49]

Answer:

emf induced in the loop, at the instant when 9.0s have passed = 1.576 * 10 ⁻² V.

Direction is counter clockwise.

Explanation:

See attached pictures.

6 0
3 years ago
Other questions:
  • What is the final electron receptor in the light reaction of photosynthesis?
    6·1 answer
  • This i relatively easy but still, i attached a picture
    5·1 answer
  • Kate is working on a project in her tech education class. She plans to assemble a fan motor. Which form of energy does the motor
    11·1 answer
  • A sound wave has a frequency of 615 hz in air and a wavelength of 0.54 m. what is the temperature of the air? assume the velocit
    5·1 answer
  • Which of the following ions are likely to be formed?
    5·1 answer
  • Which layer of the atmosphere has the highest density?
    9·1 answer
  • Describe how body composition is measured?​
    6·1 answer
  • Encontrar el peso de un elefante cuya masa es de 4500kg. Recordar que la gravedad es de 9.8m/s2
    11·2 answers
  • A car, initially traveling 28.0ft/s, steadily speeds up to 50.0ft/s in 7.40s. Determine all unknowns and answer the following qu
    6·1 answer
  • Which two statements are true of electromagnetic waves?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!