GATE Exam > GATE Questions > Deutxon in a cyclotron describe a circle of r...
Start Learning for Free
Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27 kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)
Correct answer is between '1,3'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Deutxon in a cyclotron describe a circle of radius 0.32 m just before ...
Most Upvoted Answer
Deutxon in a cyclotron describe a circle of radius 0.32 m just before ...
Given information:
- Radius of the circle just before emerging out of the cyclotron (r) = 0.32 m
- Frequency of the cyclotron (f) = 10 MHz = 10^7 Hz
- Mass of the deuteron (m) = 3.32 x 10^-27 kg
- Charge of the deuteron (q) = 1.6 x 10^-19 C
Formula to calculate velocity:
The velocity of a particle in a cyclotron is given by the formula:
v = (q * r * f) / (2 * π * m)
Calculation:
Substituting the given values into the formula, we get:
v = (1.6 x 10^-19 C * 0.32 m * 10^7 Hz) / (2 * 3.14 * 3.32 x 10^-27 kg)
Simplifying the expression, we get:
v = (0.512 x 10^-12 m^2/s^2) / (6.28 x 3.32 x 10^-27 kg)
v = (0.512 x 10^-12) / (6.28 x 3.32) m^2/s^2
v = (0.512 x 10^-12) / 20.8256 x 10^-27 m^2/s^2
v = 0.0246 x 10^15 m^2/s^2
Converting the scientific notation to decimal form, we get:
v = 24.6 x 10^12 m^2/s^2
The velocity in m/s is given by:
v = 24.6 x 10^12 m^2/s^2 * 10^-12 m^2/s^2
v = 24.6 x 10^0 m/s
v = 24.6 m/s
Therefore, the velocity of the deuterons emerging out of the cyclotron is 24.6 m/s, which is not an integer.
- Radius of the circle just before emerging out of the cyclotron (r) = 0.32 m
- Frequency of the cyclotron (f) = 10 MHz = 10^7 Hz
- Mass of the deuteron (m) = 3.32 x 10^-27 kg
- Charge of the deuteron (q) = 1.6 x 10^-19 C
Formula to calculate velocity:
The velocity of a particle in a cyclotron is given by the formula:
v = (q * r * f) / (2 * π * m)
Calculation:
Substituting the given values into the formula, we get:
v = (1.6 x 10^-19 C * 0.32 m * 10^7 Hz) / (2 * 3.14 * 3.32 x 10^-27 kg)
Simplifying the expression, we get:
v = (0.512 x 10^-12 m^2/s^2) / (6.28 x 3.32 x 10^-27 kg)
v = (0.512 x 10^-12) / (6.28 x 3.32) m^2/s^2
v = (0.512 x 10^-12) / 20.8256 x 10^-27 m^2/s^2
v = 0.0246 x 10^15 m^2/s^2
Converting the scientific notation to decimal form, we get:
v = 24.6 x 10^12 m^2/s^2
The velocity in m/s is given by:
v = 24.6 x 10^12 m^2/s^2 * 10^-12 m^2/s^2
v = 24.6 x 10^0 m/s
v = 24.6 m/s
Therefore, the velocity of the deuterons emerging out of the cyclotron is 24.6 m/s, which is not an integer.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer?
Question Description
Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer?.
Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer?.
Solutions for Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer?, a detailed solution for Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer? has been provided alongside types of Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Deutxon in a cyclotron describe a circle of radius 0.32 m just before emerging out of the cyclotron. The frequency of cyclotron is 10 MHz. Mass ofdeutron is 3.32 x 10-27kg and charge is 1.6 x 10-19 coulomb. The velocity of die deuterons emerging out of the cyclotron is____________107 m/s. (an integer)Correct answer is between '1,3'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup