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A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it?
Most Upvoted Answer
A charged particle is accelerated through a potential difference of 12...
Explanation:
The radius of the circular path is given by the following formula:
r = mv/qB
Where,
m = mass of the charged particle
v = velocity of the charged particle
q = charge of the charged particle
B = magnetic field strength
Step 1: Determine the mass and charge of the particle.
The question does not specify the type of charged particle. Let's assume that it is an electron. The mass of an electron is 9.11 x 10^-31 kg, and its charge is -1.6 x 10^-19 C.
Step 2: Determine the velocity of the charged particle.
From the question, the charged particle acquires a speed of 10^6 m/s after being accelerated through a potential difference of 12 kV. We can use the following equation to find the final velocity:
v = sqrt(2qV/m)
Where,
V = potential difference
q = charge of the particle
m = mass of the particle
Substituting the values, we get:
v = sqrt(2 x -1.6 x 10^-19 x 12000 / 9.11 x 10^-31) = 2.41 x 10^7 m/s
Step 3: Determine the radius of the circular path.
Now that we have the mass, charge, and velocity of the electron, we can use the formula above to find the radius of the circular path:
r = mv/qB = (9.11 x 10^-31) x (2.41 x 10^7) / (-1.6 x 10^-19 x 0.2) = 1.366 x 10^-3 m = 1.366 mm = 13.66 cm
Therefore, the radius of the circular path described by the electron is 12 cm. The answer given in the question is incorrect.
The radius of the circular path is given by the following formula:
r = mv/qB
Where,
m = mass of the charged particle
v = velocity of the charged particle
q = charge of the charged particle
B = magnetic field strength
Step 1: Determine the mass and charge of the particle.
The question does not specify the type of charged particle. Let's assume that it is an electron. The mass of an electron is 9.11 x 10^-31 kg, and its charge is -1.6 x 10^-19 C.
Step 2: Determine the velocity of the charged particle.
From the question, the charged particle acquires a speed of 10^6 m/s after being accelerated through a potential difference of 12 kV. We can use the following equation to find the final velocity:
v = sqrt(2qV/m)
Where,
V = potential difference
q = charge of the particle
m = mass of the particle
Substituting the values, we get:
v = sqrt(2 x -1.6 x 10^-19 x 12000 / 9.11 x 10^-31) = 2.41 x 10^7 m/s
Step 3: Determine the radius of the circular path.
Now that we have the mass, charge, and velocity of the electron, we can use the formula above to find the radius of the circular path:
r = mv/qB = (9.11 x 10^-31) x (2.41 x 10^7) / (-1.6 x 10^-19 x 0.2) = 1.366 x 10^-3 m = 1.366 mm = 13.66 cm
Therefore, the radius of the circular path described by the electron is 12 cm. The answer given in the question is incorrect.
Community Answer
A charged particle is accelerated through a potential difference of 12...
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A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it?
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A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it?.
A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it?.
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A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it?, a detailed solution for A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it? has been provided alongside types of A charged particle is accelerated through a potential difference of 12kV and acquires a speed of 10^6 m/s .it is then injected perpendicularly into a magnetic field of strength 0.2T . Find the radius of circle described by it? A) 2cm B) 4cm C) 8 cm D) 12cm Ans is d can u pls explain it? theory, EduRev gives you an
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