JEE Advanced 2019 · Paper 2 · Chemistry Q15

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Passage

Answer Q.15 and Q.16 by appropriately matching the lists based on the information given in the paragraph

Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following, List-I contains some quantities for the $n^{th}$ orbit of the atom and List-II contains options showing how they depend on $n$ .

Which of the following options has the correct combination considering List-I and List-II?

List-I

I
Radius of the $n^{th}$ orbit
II
Angular momentum of the electron in the $n^{th}$ orbit
III
Kinetic energy of the electron in the $n^{th}$ orbit
IV
Potential energy of the electron in the $n^{th}$ orbit

List-II

P
$\propto n^{-2}$
Q
$\propto n^{-1}$
R
$\propto n^0$
S
$\propto n^1$
T
$\propto n^2$
U
$\propto n^{1/2}$

(I), (P)

(I), (T)

(II), (Q)

(II), (R)

Answer and worked solution

Official answer: B

In the Bohr model:

radius $r\propto n^2$ (T);
angular momentum $L=\frac{nh}{2\pi}\propto n$ (S);
kinetic energy and potential energy both $\propto n^{-2}$ (P).

So (I) → (T) is correct. The other options fail: (I) is not (P), and (II) is not (Q) or (R).

(B)

Topics:Bohr model

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JEE Advanced 2019 · Paper 2, Chemistry question 15