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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3as153

In the Bohr model, $nλ = 2 π r_{n}$ and $λ \propto n / Z$ for hydrogen-like species. Select the correct statements.

AThe orbit of quantum number $n$ contains $n$ complete wavelengths.
BThe electron wavelength in $n = 2$ of $H$ is twice that in $n = 1$ of $H$ .
CThe wavelength in $n = 2$ of $He X^{+}$ equals that in $n = 1$ of $H$ .
DThe wavelength in $n = 3$ of $Li X^{2 +}$ is three times that in $n = 1$ of $H$ .

Answer: A, B, C

The orbit holds

n

waves (A). With

λ \propto n / Z

: H n=2 gives 2 vs 1 (B true). He

^{+}

n=2 gives

2/2 = 1

, equal to H n=1 (C true). Li

^{2 +}

n=3 gives

3/3 = 1

, equal to H n=1, not three times (D false).

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