Question:
The value of Rydberg constant in J is:
The value of Rydberg constant in J is:
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Rydberg constant in energy form is \(2.18 \times 10^{-18}\) J and is used in Bohr's energy equation.
Updated On: Jun 19, 2026
- \(2.18 \times 10^{-18}\) J
- \(3.26 \times 10^{-15}\) J
- \(2.18 \times 10^{-19}\) J
- \(1.60 \times 10^{-19}\) J
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The Correct Option is A
Solution and Explanation
Step 1: Recall Rydberg constant formula in energy units.
\[ R_H = \frac{m_e e^4}{8 \varepsilon_0^2 h^3 c} \approx 2.18 \times 10^{-18}~\text{J} \]
Step 2: Relation to energy levels.
Energy of hydrogen atom \(E_n = -R_H/n^2\).
Step 3: Value confirmation.
From theory and experiment, \(R_H \approx 2.18 \times 10^{-18}~\text{J}\).
Step 4: Check units.
Rydberg constant is in joules (energy per photon emitted).
Step 5: Cross verification.
Matches known energy difference between \( n = \infty \) and n = 1 in hydrogen atom.
Step 6: Conclusion.
Hence, the correct value of Rydberg constant in J is \(2.18 \times 10^{-18}\).
\[ R_H = \frac{m_e e^4}{8 \varepsilon_0^2 h^3 c} \approx 2.18 \times 10^{-18}~\text{J} \]
Step 2: Relation to energy levels.
Energy of hydrogen atom \(E_n = -R_H/n^2\).
Step 3: Value confirmation.
From theory and experiment, \(R_H \approx 2.18 \times 10^{-18}~\text{J}\).
Step 4: Check units.
Rydberg constant is in joules (energy per photon emitted).
Step 5: Cross verification.
Matches known energy difference between \( n = \infty \) and n = 1 in hydrogen atom.
Step 6: Conclusion.
Hence, the correct value of Rydberg constant in J is \(2.18 \times 10^{-18}\).
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