What is the energy (in Joules) required to shift the electron of a hydrogen atom from the first Bohr

Q: What is the correct answer for CBSE11?

The correct answer is A. The energy of an electron in the n-th orbit of a hydrogen atom is E_n = -R_H/n², where R_H = 2.18 x 10⁻¹⁸ J. Energy of the first orbit (n=1) is E₁ = -2.18 x 10⁻¹⁸ J / 1² = -2.18 x 10⁻¹⁸ J. Energy of the fifth orbit (n=5) is E₅ = -2.18 x 10⁻¹⁸ J / 5² = -2.18 x 10⁻¹⁸ J / 25 = -0.0872 x 10⁻¹⁸ J = -8.72 x 10⁻²⁰ J. The energy required for the transition (ΔE) = E₅ - E₁ = (-8.72 x 10⁻²⁰ J) - (-2.18 x 10⁻

Q: What is the energy (in Joules) required to shift the electron of a hydrogen atom from the first Bohr orbit to the fifth Bohr orbit? (Ground state energy = -2.18 x 10⁻¹⁸ J atom⁻¹)

The correct answer is A. The energy of an electron in the n-th orbit of a hydrogen atom is E_n = -R_H/n², where R_H = 2.18 x 10⁻¹⁸ J. Energy of the first orbit (n=1) is E₁ = -2.18 x 10⁻¹⁸ J / 1² = -2.18 x 10⁻¹⁸ J. Energy of the fifth orbit (n=5) is E₅ = -2.18 x 10⁻¹⁸ J / 5² = -2.18 x 10⁻¹⁸ J / 25 = -0.0872 x 10⁻¹⁸ J = -8.72 x 10⁻²⁰ J. The energy required for the transition (ΔE) = E₅ - E₁ = (-8.72 x 10⁻²⁰ J) - (-2.18 x 10⁻

Q: What are the options for this CBSE11 question?

A. 2.09 x 10⁻¹⁸ J · B. 2.18 x 10⁻¹⁸ J · C. 2.09 x 10⁻¹⁹ J · D. 2.18 x 10⁻¹⁹ J

Question

What is the energy (in Joules) required to shift the electron of a hydrogen atom from the first Bohr orbit to the fifth Bohr orbit? (Ground state energy = -2.18 x 10⁻¹⁸ J atom⁻¹)

FirstInTest · Accepted Answer

The energy of an electron in the n-th orbit of a hydrogen atom is E_n = -R_H/n², where R_H = 2.18 x 10⁻¹⁸ J. Energy of the first orbit (n=1) is E₁ = -2.18 x 10⁻¹⁸ J / 1² = -2.18 x 10⁻¹⁸ J. Energy of the fifth orbit (n=5) is E₅ = -2.18 x 10⁻¹⁸ J / 5² = -2.18 x 10⁻¹⁸ J / 25 = -0.0872 x 10⁻¹⁸ J = -8.72 x 10⁻²⁰ J. The energy required for the transition (ΔE) = E₅ - E₁ = (-8.72 x 10⁻²⁰ J) - (-2.18 x 10⁻¹⁸ J) = (-0.0872 x 10⁻¹⁸ J) + (2.18 x 10⁻¹⁸ J) = 2.0928 x 10⁻¹⁸ J, approximately 2.09 x 10⁻¹⁸ J.

Answer

2.09 x 10⁻¹⁸ J

Answer

2.18 x 10⁻¹⁸ J

Answer

2.09 x 10⁻¹⁹ J

Answer

2.18 x 10⁻¹⁹ J

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