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An electron is accelerated to a high speed down the axis of a cathode ray tube by the application of a potential difference of V volts between the cathode and the anode. The particle then passes through a uniform transverse magnetic field in which it experiences a force F. If the potential difference between the anode and the cathode is increased to 2 V, the electron will now experience a force of
- a)F/√2
- b)F/2
- c)√2F
- d)2F
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
An electron is accelerated to a high speed down the axis of a cathode ...
2
b)F
c)2F
d)4F
The force experienced by an electron moving through a magnetic field is given by the equation F = qvB, where q is the charge of the electron, v is its velocity, and B is the magnetic field. As the electron is accelerated by a potential difference of V volts, its velocity will increase proportionally to the square root of V. Therefore, if the potential difference is increased to 2V, the velocity of the electron will increase by a factor of sqrt(2). However, the charge of the electron and the magnetic field remain constant, so the force experienced by the electron will increase by a factor of sqrt(2). Therefore, the electron will experience a force of F x sqrt(2) or approximately 1.41F.
Answer: c) 2F.
b)F
c)2F
d)4F
The force experienced by an electron moving through a magnetic field is given by the equation F = qvB, where q is the charge of the electron, v is its velocity, and B is the magnetic field. As the electron is accelerated by a potential difference of V volts, its velocity will increase proportionally to the square root of V. Therefore, if the potential difference is increased to 2V, the velocity of the electron will increase by a factor of sqrt(2). However, the charge of the electron and the magnetic field remain constant, so the force experienced by the electron will increase by a factor of sqrt(2). Therefore, the electron will experience a force of F x sqrt(2) or approximately 1.41F.
Answer: c) 2F.
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Community Answer
An electron is accelerated to a high speed down the axis of a cathode ...
The velocity when the potential difference is V, is
and force F = evB
When the potential difference is doubled, i.e. V' = 2V, the velocity is
Force F' = ev'B = √2 evB = √2F
and force F = evB
When the potential difference is doubled, i.e. V' = 2V, the velocity is
Force F' = ev'B = √2 evB = √2FAttention JEE Students!
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An electron is accelerated to a high speed down the axis of a cathode ray tube by the application of a potential difference of V volts between the cathode and the anode. The particle then passes through a uniform transverse magnetic field in which it experiences a force F. If the potential difference between the anode and the cathode is increased to 2 V, the electron will now experience a force ofa)F/√2b)F/2c)√2Fd)2FCorrect answer is option 'C'. Can you explain this answer?
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An electron is accelerated to a high speed down the axis of a cathode ray tube by the application of a potential difference of V volts between the cathode and the anode. The particle then passes through a uniform transverse magnetic field in which it experiences a force F. If the potential difference between the anode and the cathode is increased to 2 V, the electron will now experience a force ofa)F/√2b)F/2c)√2Fd)2FCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An electron is accelerated to a high speed down the axis of a cathode ray tube by the application of a potential difference of V volts between the cathode and the anode. The particle then passes through a uniform transverse magnetic field in which it experiences a force F. If the potential difference between the anode and the cathode is increased to 2 V, the electron will now experience a force ofa)F/√2b)F/2c)√2Fd)2FCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron is accelerated to a high speed down the axis of a cathode ray tube by the application of a potential difference of V volts between the cathode and the anode. The particle then passes through a uniform transverse magnetic field in which it experiences a force F. If the potential difference between the anode and the cathode is increased to 2 V, the electron will now experience a force ofa)F/√2b)F/2c)√2Fd)2FCorrect answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice An electron is accelerated to a high speed down the axis of a cathode ray tube by the application of a potential difference of V volts between the cathode and the anode. The particle then passes through a uniform transverse magnetic field in which it experiences a force F. If the potential difference between the anode and the cathode is increased to 2 V, the electron will now experience a force ofa)F/√2b)F/2c)√2Fd)2FCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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