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A charged particle accelerated through a potential difference of 100V passes through the uniform electric and magnetic fields so as to experience no deflection. E = 15 x 106 V ∕ m and B = 5 x 103 T . The specific charge e/m is
  • a)
    4 • 5 x 104 C ∕ K g
  • b)
    9 x 107 C ∕ K g
  • c)
    4 • 5 x 103 C ∕ K g
  • d)
    9 x 105 C ∕ K g
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A charged particle accelerated through a potential difference of 100V ...
Given data:
- Potential difference (V) = 100V
- Electric field (E) = 15 x 10^6 V/m
- Magnetic field (B) = 5 x 10^3 T

Concept:
When a charged particle is accelerated through a potential difference and passes through electric and magnetic fields without deflection, the electric force is balanced by the magnetic force acting on the particle.

Calculation:
- The force experienced by the charged particle due to the electric field is given by Fe = qE, where q is the charge of the particle.
- The force experienced by the charged particle due to the magnetic field is given by Fm = qvB, where v is the velocity of the particle.
- Since the particle is not deflected, Fe = Fm
- qE = qvB
- v = E/B
- Substituting the values of E and B, we get v = 15 x 10^6 / 5 x 10^3 = 3 x 10^3 m/s
- Specific charge e/m = v/R, where R is the radius of the circular path of the particle.
- R = mv / qB (From centripetal force equation)
- Substituting the values of v and B, we get R = 3 x 10^3 / q x 5 x 10^3
- R = 0.2m
- Substituting the value of R in e/m = v/R, we get e/m = 3 x 10^3 / 0.2 = 15 x 10^3 C/kg
Therefore, the specific charge e/m is 15 x 10^3 C/kg, which is equivalent to 4.5 x 10^4 C/kg. Hence, the correct answer is option 'A'.
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A charged particle accelerated through a potential difference of 100V passes through the uniform electric and magnetic fields so as to experience no deflection. E = 15 x 106 V m and B = 5 x 103 T . The specific charge e/m isa)4 • 5 x 104 C K gb)9 x 107 C K gc)4 • 5 x 103 C K gd)9 x 105 C K gCorrect answer is option 'A'. Can you explain this answer?
Question Description
A charged particle accelerated through a potential difference of 100V passes through the uniform electric and magnetic fields so as to experience no deflection. E = 15 x 106 V m and B = 5 x 103 T . The specific charge e/m isa)4 • 5 x 104 C K gb)9 x 107 C K gc)4 • 5 x 103 C K gd)9 x 105 C K gCorrect 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 particle accelerated through a potential difference of 100V passes through the uniform electric and magnetic fields so as to experience no deflection. E = 15 x 106 V m and B = 5 x 103 T . The specific charge e/m isa)4 • 5 x 104 C K gb)9 x 107 C K gc)4 • 5 x 103 C K gd)9 x 105 C K gCorrect 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 particle accelerated through a potential difference of 100V passes through the uniform electric and magnetic fields so as to experience no deflection. E = 15 x 106 V m and B = 5 x 103 T . The specific charge e/m isa)4 • 5 x 104 C K gb)9 x 107 C K gc)4 • 5 x 103 C K gd)9 x 105 C K gCorrect answer is option 'A'. Can you explain this answer?.
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