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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?
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Deutxon in a cyclotron describe a circle of radius 0.32 m just before ...
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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.
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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?
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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?.
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