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A proton, a deutron and an alpha particle are accelerated through potentials of V, 2V and 4V respectively. Their velocities will bear a ratio.
  • a)
    1 : 1 : 1
  • b)
    1 :√2 : 1
  • c)
    √2 : 1 : 1
  • d)
    1 : 1 : √2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A proton, a deutron and an alpha particle are accelerated through pote...
A deutron consists of 1 protons and 2 neutron while an alpha particle consists of 2 protons and 2 neutrons. So, if proton has mass "m" and charge "q" then,
- Mass of a deutron = 2m
- Charge on a deutron = q
- Mass of an alpha particle = 4m
- Charge on an alpha particle = 2q
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Community Answer
A proton, a deutron and an alpha particle are accelerated through pote...
2 : 4c)4 : 2 : 1d)√V : √2V : √4V

The ratio of the velocities depends on the kinetic energy gained by each particle, which in turn depends on the potential energy gained and the mass of the particle.

For a proton:
Kinetic energy gained = qV
Mass of proton = m
Velocity gained = √(2qV/m)

For a deutron:
Kinetic energy gained = 2qV
Mass of deutron = 2m
Velocity gained = √(2(2qV)/2m) = √(2qV/m)

For an alpha particle:
Kinetic energy gained = 4qV
Mass of alpha particle = 4m
Velocity gained = √(2(4qV)/4m) = √(2qV/m)

Therefore, the ratio of their velocities is:
√(2qV/m) : √(2qV/m) : √(2qV/m)
which simplifies to:
1 : 1 : 1

Therefore, the correct option is (a) 1 : 1 : 1.
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A proton, a deutron and an alpha particle are accelerated through potentials of V, 2V and 4V respectively. Their velocities will bear a ratio.a)1 : 1 : 1b)1 :√2 : 1c)√2 : 1 : 1d)1 : 1 : √2Correct answer is option 'D'. Can you explain this answer?
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A proton, a deutron and an alpha particle are accelerated through potentials of V, 2V and 4V respectively. Their velocities will bear a ratio.a)1 : 1 : 1b)1 :√2 : 1c)√2 : 1 : 1d)1 : 1 : √2Correct answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A proton, a deutron and an alpha particle are accelerated through potentials of V, 2V and 4V respectively. Their velocities will bear a ratio.a)1 : 1 : 1b)1 :√2 : 1c)√2 : 1 : 1d)1 : 1 : √2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A proton, a deutron and an alpha particle are accelerated through potentials of V, 2V and 4V respectively. Their velocities will bear a ratio.a)1 : 1 : 1b)1 :√2 : 1c)√2 : 1 : 1d)1 : 1 : √2Correct answer is option 'D'. Can you explain this answer?.
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