Question:
If the velocity of an electron in the first Bohr's orbit of H-atom is x $ms^{-1}$, then the velocity (in $ms^{-1}$) of an electron in the fourth Bohr's orbit of the same atom is:
If the velocity of an electron in the first Bohr's orbit of H-atom is x $ms^{-1}$, then the velocity (in $ms^{-1}$) of an electron in the fourth Bohr's orbit of the same atom is:
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Velocity in a Bohr orbit decreases as the principal quantum number $n$ increases ($v \propto 1/n$).
Updated On: Oct 6, 2026
- $x/2$
- $x/4$
- $x/6$
- $x/5$
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Velocity of an electron in the $n$-th orbit: $v_n = v_1 / n$.
Step 2: Analysis
For the first orbit ($n=1$), $v_1 = x$. For the fourth orbit ($n=4$), $v_4 = v_1 / 4 = x/4$.
Step 3: Conclusion
The velocity in the fourth orbit is $x/4$.
Final Answer: (B)
Velocity of an electron in the $n$-th orbit: $v_n = v_1 / n$.
Step 2: Analysis
For the first orbit ($n=1$), $v_1 = x$. For the fourth orbit ($n=4$), $v_4 = v_1 / 4 = x/4$.
Step 3: Conclusion
The velocity in the fourth orbit is $x/4$.
Final Answer: (B)
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