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The de-Broglie wavelength of the electron in the ground state of hydrogen atom is ? Given: KE = 13.6 eV, 1 eV = 1.6*10 -19J.
  • a)
    33.29 nm
  • b)
    3.329 nm
  • c)
    0.3329 nm
  • d)
    0.0332 nm
Correct answer is option 'C'. Can you explain this answer?
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The de-Broglie wavelength of the electron in the ground state of hydro...
De-Broglie wavelength of electron in hydrogen atom

Given:
KE = 13.6 eV
1 eV = 1.6 * 10^-19 J

Formula:
De-Broglie wavelength (λ) = h/p
where h = Planck's constant (6.626 * 10^-34 J s)
p = momentum of the electron

Calculation:
We know that KE = (1/2) mv^2
where m = mass of electron
v = velocity of electron

Rearranging this equation, we get:
v = √(2KE/m)

Substituting the given values, we get:
v = √(2 * 13.6 * 1.6 * 10^-19 / 9.1 * 10^-31) = 2.18 * 10^6 m/s

Now, we can calculate momentum of the electron:
p = mv = (9.1 * 10^-31) * (2.18 * 10^6) = 1.98 * 10^-24 kg m/s

Finally, we can calculate the De-Broglie wavelength:
λ = h/p = (6.626 * 10^-34) / (1.98 * 10^-24) = 3.329 nm

Therefore, the correct answer is option C (0.3329 nm).
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The de-Broglie wavelength of the electron in the ground state of hydrogen atom is ? Given: KE =13.6 eV, 1 eV = 1.6*10 -19J.a)33.29 nmb)3.329 nmc)0.3329 nmd)0.0332 nmCorrect answer is option 'C'. Can you explain this answer?
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The de-Broglie wavelength of the electron in the ground state of hydrogen atom is ? Given: KE =13.6 eV, 1 eV = 1.6*10 -19J.a)33.29 nmb)3.329 nmc)0.3329 nmd)0.0332 nmCorrect answer is option 'C'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The de-Broglie wavelength of the electron in the ground state of hydrogen atom is ? Given: KE =13.6 eV, 1 eV = 1.6*10 -19J.a)33.29 nmb)3.329 nmc)0.3329 nmd)0.0332 nmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The de-Broglie wavelength of the electron in the ground state of hydrogen atom is ? Given: KE =13.6 eV, 1 eV = 1.6*10 -19J.a)33.29 nmb)3.329 nmc)0.3329 nmd)0.0332 nmCorrect answer is option 'C'. Can you explain this answer?.
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