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if hydrogen atom an electron jumps from bigger orb
Question:
If hydrogen atom, an electron jumps from bigger orbit to smaller orbit so that radius of smaller orbit is one-fourth of radius of bigger orbit. If speed of electron in bigger orbit was \(v\), then speed in smaller orbit is:
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Smaller orbit means higher speed in Bohr model.
BITSAT - 2014
BITSAT
Updated On:
Mar 24, 2026
\(v/4\)
\(v/2\)
\(v\)
\(2v\)
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Verified By Collegedunia
The Correct Option is
D
Solution and Explanation
Step 1:
In Bohr model: \[ r\propto n^2,\quad v\propto \frac{1}{n} \]
Step 2:
If \(r_2=\frac{1}{4}r_1\), then \(n_2=\frac{1}{2}n_1\).
Step 3:
\[ v_2=2v_1 \]
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