In hydrogen atom, the de Broglie wavelength of an electron in the second Bohr orbit is \([\) Given that Bohr radius, \(a_0 = 52.9 \;pm]\)

A \(211.6 \;pm\)
B \(211.6\pi \;pm\)
C \(52.9\pi \;pm\)
D \(105.8 \;pm\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(211.6\pi \;pm\)

Step-by-step Solution

Detailed explanation

\(\mathrm{n} \lambda=2 \pi \mathrm{r}\) \(\mathrm{n} \lambda=2 \pi \frac{\mathrm{n}^{2}}{\mathrm{z}} \mathrm{a}_{0}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From NEET

Match the metal ions given in Column\(- I\) with the spin magnetic moments of the ions given in Column\(-II\) and assign the correct code

Column\(-I\)	Column\(-II\)
\((a)\;Co^{+3}\)	\((i)\;\sqrt{8}\; B.M.\)
\((b)\;Cr^{+3}\)	\((ii)\;\sqrt{35}\; B.M.\)
\((c)\;Fe^{+3}\)	\((iii)\;\sqrt{3}\; B.M.\)
\((d)\;Ni^{+2}\)	\((iv)\;\sqrt{24}\; B.M.\)
	\((v)\;\sqrt{15}\; B.M.\)

\((a)\quad (b)\quad (c)\quad (d)\)

NEET 2018 Medium

Match List I with List II :

List I (Respiratory Volume)	List II (Capacity in mL)
A. ERV (Expiratory Reserve Volume)	I. \(2500-3000 mL\)
B. RV (Residual Volume)	II. 500 mL
C. IRV (Inspiratory Reserve Volume)	III. \(1000-1100 mL\)
D. TV (Tidal Volume)	IV. \(1100-1200 mL\)

Choose the correct answer from the options given below :

NEET 2026 Easy

The Earth Summit held in Rio de Janeiro in \(1992\) was called

NEET 2019 Medium

Explore more questions on app