Question
Asked Oct 21, 2019
204 views
An alpha particle (q = +2e, m=4.00 u) travels in a circular path of radius 4.30 cm in a uniform magnetic field with B 1.05 T.
Calculate (a) its speed, (b) its period of revolution, (c) its kinetic energy, and (d) the potential difference through which it would
have to be accelerated to achieve this energy.
Units
(a) Number
2.17e6
m/s
Units
(b) Number
1.245e-7
X
X
Units
(c) Number
1.57e-11
J.s
ile
(d) Number 4.88e4
Units
V
help_outline

Image Transcriptionclose

An alpha particle (q = +2e, m=4.00 u) travels in a circular path of radius 4.30 cm in a uniform magnetic field with B 1.05 T. Calculate (a) its speed, (b) its period of revolution, (c) its kinetic energy, and (d) the potential difference through which it would have to be accelerated to achieve this energy. Units (a) Number 2.17e6 m/s Units (b) Number 1.245e-7 X X Units (c) Number 1.57e-11 J.s ile (d) Number 4.88e4 Units V

fullscreen
check_circle

Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

Given,

The radius of circular path r with charge of alpha particle q and mass of alpha particle m and magnetic field B.

help_outline

Image Transcriptionclose

r 4.30 cm 0.0430 m q2e 2x1.6x10-1C 3.2 x 10-19C m 4.0 u 4x1.67x 1027 kg m 6.68x 1027 kg B 1.05 T

fullscreen
Step 2

Part(a)

Here, the magnetic force (Fmag) contributes in centripetal force (Fcentripetal) i.e.:

help_outline

Image Transcriptionclose

= F. F centripetal mag mv = qvB дBr т

fullscreen
Step 3

Now, plugging the given...

help_outline

Image Transcriptionclose

(3.2x1019 C 1.05 T)(0.0430 m) (6.68 x 10 kg) v 2.1628 x 106 m/s

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: The velocity of a given object is determined by -kv", k >> 0, n 2 0 a constant. (This is often used ...

A: (a) Integrating the given equation on both sides by separating the variables,

question_answer

Q: In terms of rotational inertia, explain why: You can swing a baseball bat faster than a long one of ...

A: It is a scalar value which tells how difficult it is to change the rotational velocity of the object...

question_answer

Q: The figure on the right shows plot of the equipotentials for an arrangement of charges. The numbers ...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

question_answer

Q: Arrange the listed objects according to their angular speeds, from largest to smallest. a tire of ...

A: Consider the case of tire.Angular speed is

question_answer

Q: Hi, here's my question. 26.32:  In the figure, the ammeter A1 reads 10.0 A, and the batteries have n...

A: As ammeter has zero resistance, therefore equivalent circuit becomes,

question_answer

Q: 3. Smartphone chargers are usually labeled with their current output in A (amps). Suppose your charg...

A: Let us take a standard Q as battery capacity in mAh, I1 be the current rating of charger, and V be t...

question_answer

Q: One boy standing on a bridge throws a stone horizontally at a velocity of 12m/s. If the bridge is 10...

A: During the motion, there is no horizontal component of acceleration and vertical component is the gr...

question_answer

Q: The two halves of the rod in the figure are uniformly charged to ±Q.(Figure 1)   What is the electri...

A: Given,Charge +Q and -Q are distributed uniformly over the rod.

question_answer

Q: A stone is dropped at t = 0. A second stone, with 3 times the mass of the first, is dropped from the...

A: GivenMass of the 1st stone = mMass of the 2nd stone = 3mThe first stone one free falls during t1 = 3...