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
diamong [38]
3 years ago
12

An alpha particle can be produced in certain radioactive decays of nuclei and consists of two protons and two neutrons. The part

icle has a charge of q = +2e and a mass of 4.00 u, where u is the atomic mass unit, with
1μ= 1.661×10^−27kg

Suppose an alpha particle travels in a circular path of radius 4.50 cm in a uniform magnetic field with B = 1.20 T. Calculate
(a) its speed.
(b) its period of revolution.
(c) its kinetic energy.
(d) the potential difference through which it would have to be accelerated to achieve this energy.
Physics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Answer:

Explanation:

charge, q = 2e = 2 x 1.6 x 10^-19 C = 3.2 x 10^-19 C

mass, m = 4 u = 4 x 1.661 x 10^-27 kg = 6.644 x 10^-27 kg

Radius, r = 4.5 cm = 0.045 m

Magnetic field, B = 1.20 T

(a) Let the speed is v.

v=\frac{Bqr}{m}

v=\frac{1.20\times 3.2\times 10^{-19}\times 0.045}{6.644\times 10^{-27}}

v = 2.6 x 10^6 m/s

(b) Let T be the period of revolution

T=\frac{2\pi r}{v}

T=\frac{2\times 3.14\times 0.045}{2.6\times 10^{6}}

T = 1.09 x 10^-7 s

(c) The formula for the kinetic energy is

K=\frac{B^{2}\times q^{2}\times r^{2}}{2m}

K=\frac{\left ( 1.20\times 3.2 \times 10^{-19}\times 0.045 \right )^{2}}{2\times 6.644\times 10^{-27}}

K = 2.25 x 10^-14 J

(d) Let the potential difference is V.

K = qV

V = \frac{K}{q}

V= \frac{2.25\times 10^-14}{3.2\times 10^{-19}}

V = 70312.5 V

You might be interested in
What’s the equalibrium rule?
ale4655 [162]
The vector sum of forces acting on a non-accelerating object equals zero.
equation form: ΣF = 0
4 0
3 years ago
Read 2 more answers
Without wildfires, forest ecosystems would be more likely to suffer from outbreaks of plant disease true or false
aivan3 [116]
The answer to that would be true
5 0
3 years ago
For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 kg of Italia
Oliga [24]

Answer with Explanation:

We are given that

m_1=0.3 kg

m_2=0.4 kg

Spring constant,k=200 N/m

h=0.250 m

a.Speed of ham before collision

u=\sqrt{2gh}=\sqrt{2\times 9.8\times 0.25}=2.2m/s

Collision is inelastic

According to law of conservation of momentum

m_1u_1=(m_1+m_2)v

0.3\times 2.2=(0.3+0.4)v

v=\frac{0.3\times 2.2}{0.7}=0.94 m/s

Kinetic energy of masses=Spring potential energy at maximum distance

\frac{1}{2}(m_1+m_2)v^2=\frac{1}{2}kA^2

A^2=\frac{(m_1+m_2)v^2}{k}

A=\sqrt{\frac{(m_1+m_2)v^2}{k}}

Substitute the values

A=\sqrt{\frac{(0.3+0.4)\times (0.94)^2}{200}}=0.056 m=0.056\times 100=5.6 cm

1 m=100 cm

b.Time period,T=2\pi\sqrt{\frac{(m_1+m_2)}{k}}

T=2\pi\sqrt{\frac{(0.3+0.4)}{200}}=0.37 s

7 0
3 years ago
The process of testing a hypothesis by collecting data is called
deff fn [24]
I think it’s the scientific method
7 0
3 years ago
Read 2 more answers
How do I prove that a = v * dv/dx?
MaRussiya [10]
Your book has applied the chain rule to produce:
dv/dt = dv/dx * dx/dt
Now, we can get dv/dx by:
1) Differentiate
x = vt, with respect to v.
dx/dv = t
Now, if we take the inverse of this, we can obtain dv/dx
dv/dx = 1/t
This is also proven by the fact that dv/dx is the change in velocity and if you multiply it by dv/dx, which is equivalent to dividing by the change in time, as we just proved, then you obtain acceleration.
6 0
3 years ago
Other questions:
  • Two large conducting parallel plates A and B are separated by 2.4 m. A uniform field of 1500 V/m, in the positive x-direction, i
    12·1 answer
  • Two or more atoms can be held together through shared
    15·1 answer
  • An object has a kinetic energy of 275 j and a momentum of magnitude 25.0 kg · m/s. find the (a) speed and (b) mass of the object
    8·2 answers
  • As a general rule, how does mass affect the force of friction?
    7·1 answer
  • Which is developed during the process of technology design
    5·1 answer
  • A net force of magnitude 36 N gives an object of mass m1 an acceleration of 6.0 m/s^2. The same net force gives m1 and another o
    7·1 answer
  • The speed of sound waves
    6·1 answer
  • A person who is heavier than the standard for the person’s height is _____
    15·2 answers
  • Use your answers from questions 1–3 as the basis for the first section of your lab report. This section provides your reader wit
    5·1 answer
  • 4. Three methods that people use are:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!