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Consider 3rd orbit of He+ (Helium), using non-relativistic approach, the speed of electron in this orbit
will be [given K = 9 x 109 constant, Z = 2 and h(Planck's Constant) = 6.6 x 10-34 J s]
  • a)
    3.0 x 108 m/s
  • b)
    2.92 x 106 m/s
  • c)
    1.46 x 106 m/s
  • d)
    0.73 x 106 m/s
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider 3rd orbit of He+ (Helium), using non-relativistic approach, t...
Calculation of Electron Speed in 3rd Orbit of Helium

Given parameters:
K = 9 x 10^9
Z = 2
h = 6.6 x 10^-34 J s
n = 3
m = mass of electron

Formula:
The speed of electron in nth orbit of an atom is given as:

v = (K • Z • e^2)/[n • h • (4πε₀) • m]

Where,
K = Coulomb's constant
Z = Atomic number of the element
e = Charge on an electron
h = Planck's constant
ε₀ = Permittivity of free space
m = Mass of electron
n = Principal quantum number of the orbit

Solution:

The first step is to find the mass of an electron using the formula:

m = 9.1 x 10^-31 kg

The next step is to substitute the given values in the formula:

v = (9 x 10^9 • 2 • (1.6 x 10^-19)^2) / [3 • 6.6 x 10^-34 • (4π x 8.85 x 10^-12) • 9.1 x 10^-31]

v = 1.46 x 10^6 m/s

Therefore, the speed of the electron in the 3rd orbit of Helium is 1.46 x 10^6 m/s.

Hence, option C is the correct answer.
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Consider 3rd orbit of He+ (Helium), using non-relativistic approach, t...
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Consider 3rd orbit of He+ (Helium), using non-relativistic approach, the speed of electron in this orbitwill be [given K = 9 x 109 constant, Z = 2 and h(Plancks Constant) = 6.6 x 10-34 J s]a)3.0 x108 m/sb)2.92 x 106 m/sc)1.46 x 106 m/sd)0.73 x 106 m/sCorrect answer is option 'C'. Can you explain this answer?
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Consider 3rd orbit of He+ (Helium), using non-relativistic approach, the speed of electron in this orbitwill be [given K = 9 x 109 constant, Z = 2 and h(Plancks Constant) = 6.6 x 10-34 J s]a)3.0 x108 m/sb)2.92 x 106 m/sc)1.46 x 106 m/sd)0.73 x 106 m/sCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Consider 3rd orbit of He+ (Helium), using non-relativistic approach, the speed of electron in this orbitwill be [given K = 9 x 109 constant, Z = 2 and h(Plancks Constant) = 6.6 x 10-34 J s]a)3.0 x108 m/sb)2.92 x 106 m/sc)1.46 x 106 m/sd)0.73 x 106 m/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider 3rd orbit of He+ (Helium), using non-relativistic approach, the speed of electron in this orbitwill be [given K = 9 x 109 constant, Z = 2 and h(Plancks Constant) = 6.6 x 10-34 J s]a)3.0 x108 m/sb)2.92 x 106 m/sc)1.46 x 106 m/sd)0.73 x 106 m/sCorrect answer is option 'C'. Can you explain this answer?.
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