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A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106 V m-1 and B = 5 x 103 T , then the specific charge of the particle is
- a)4.5 x 104 Ckg-1
- b)9 x 107 Ckg-1
- c)4.5 x 103 Ckg-1
- d)9 x 105 Ckg-1
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A charged particale accelerated through a P.D. of 100 volt passes thro...
Given:
Potential difference (V) = 100 V
Electric Field (E) = 15 x 10^6 V m^-1
Magnetic Field (B) = 5 x 10^3 T
To find:
Specific charge of the particle
Explanation:
1) When the charged particle passes through a uniform electric field and magnetic field, it experiences a force due to the electric field and magnetic field.
2) To experience no deflection, the force due to the electric field must be equal and opposite to the force due to the magnetic field.
3) The force due to the electric field is given by F = qE, where q is the charge on the particle.
4) The force due to the magnetic field is given by F = qvB, where v is the velocity of the particle.
5) Equating these two forces, we get qE = qvB.
6) The velocity of the particle can be expressed in terms of the potential difference as v = √(2qV/m), where m is the mass of the particle.
7) Substituting this in the above equation, we get q = 2VBE²/m.
8) The specific charge of the particle is given by q/m.
9) Substituting the given values, we get q/m = 2VE²/B² = 2 x 100 x (15 x 10^6)² / (5 x 10^3)² = 4.5 x 10^4 C kg^-1.
Therefore, the correct answer is option A, 4.5 x 10^4 C kg^-1.
Potential difference (V) = 100 V
Electric Field (E) = 15 x 10^6 V m^-1
Magnetic Field (B) = 5 x 10^3 T
To find:
Specific charge of the particle
Explanation:
1) When the charged particle passes through a uniform electric field and magnetic field, it experiences a force due to the electric field and magnetic field.
2) To experience no deflection, the force due to the electric field must be equal and opposite to the force due to the magnetic field.
3) The force due to the electric field is given by F = qE, where q is the charge on the particle.
4) The force due to the magnetic field is given by F = qvB, where v is the velocity of the particle.
5) Equating these two forces, we get qE = qvB.
6) The velocity of the particle can be expressed in terms of the potential difference as v = √(2qV/m), where m is the mass of the particle.
7) Substituting this in the above equation, we get q = 2VBE²/m.
8) The specific charge of the particle is given by q/m.
9) Substituting the given values, we get q/m = 2VE²/B² = 2 x 100 x (15 x 10^6)² / (5 x 10^3)² = 4.5 x 10^4 C kg^-1.
Therefore, the correct answer is option A, 4.5 x 10^4 C kg^-1.
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A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. Can you explain this answer?
Question Description
A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. 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 A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. Can you explain this answer?.
A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. 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 A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. Can you explain this answer?.
Solutions for A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A charged particale accelerated through a P.D. of 100 volt passes throught the uniform electric and magnetic fields so as to experience no deflection. If E = 15 x 106V m-1 and B = 5 x103T , then the specific charge of the particle isa)4.5 x 104 Ckg-1b)9 x 107Ckg-1c)4.5 x 103 Ckg-1d)9 x105Ckg-1Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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