Match the items in column I with their respective values in column II-1- According to Bohr-s thoeryE n - Total energyK n - Kinetic energy V n - Potential energyr n- Radius of nth orbit energy beginarray - - hlinea- frac V - n K - n - - - p- 0 Whlinec- Angular momentum in lowest orbital - r- -21llhlined- frac 1 r - n propto Z - y - y - - s -1Whlinelend array A- a-p- b-q- c-s- d-rB- a-r- b-q- c-p- d-sC- a-s- b-q- c-p- d-rD- a-r- b-p- c-q- d-s

The correct option is B a gt; r, b gt; q, c gt; p, d gt; s (a → r) For Bohr's electron in H atom KE = e^2/2r PE = e^2/r V_n/K_n = PE/KE = 2 (b → ...

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Standard XII

Chemistry

Bohrs Derivations

Match the ite...

Question

Match the items in column I with their respective values in column II.
1. According to Bohr's thoery
$E_{n}$ = Total energy
$K_{n}$ = Kinetic energy
$V_{n}$ = Potential energy
$r_{n}$ = Radius of nth orbit energy

$\begin{matrix} Column I & Column II a . \frac{V_{n}}{K_{n}} = ? & p . 0 b . If radius of n^{t h} orbit \propto E_{n}^{x}, x = ? & q . - 1 c . Angular momentum in lowest orbital & r . - 2 d . \frac{1}{r_{n}} \propto Z^{y}, y = ? & s .1 \end{matrix}$

a > r, b > p, c > q, d > s

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a > r, b > q, c > p, d > s

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a > s, b > q, c > p, d > r

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a > p, b > q, c > s, d > r

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Solution

The correct option is B
a > r, b > q, c > p, d > s

(a $\to$ r) For Bohr's electron in H atom
KE = $\frac{e^{2}}{2 r}$
PE = $\frac{- e^{2}}{r}$
$\frac{V_{n}}{K_{n}} = \frac{P E}{K E} = 2$

(b $\to$ q) r $\propto n^{2}$
$E_{n} \propto \frac{1}{n^{2}}$
or $n^{2} \propto \frac{1}{E_{n}}$
or $r \propto \frac{1}{E_{n}}$
or $r \propto E_{n}^{- 1}$

(c $\to$ p) The orbital angular momentum is: $\frac{h}{2 π} \sqrt{l (l + 1)}$
The orbital angular momentum for an electron in s orbital (l = 0) (lowest orbital is 1s) is 0.

$(d \to s) r \propto \frac{1}{Z}$
or $\frac{1}{r} \propto Z$

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Similar questions

Match the items in column I with their respective values in column II.
1. According to Bohr's thoery
$E_{n}$ = Total energy
$K_{n}$ = Kinetic energy
$V_{n}$ = Potential energy
$r_{n}$ = Radius of nth orbit energy

$\begin{matrix} Column I & Column II a . \frac{V_{n}}{K_{n}} = ? & p . 0 b . If radius of n^{t h} orbit \propto E_{n}^{x}, x = ? & q . - 1 c . Angular momentum in lowest orbital & r . - 2 d . \frac{1}{r_{n}} \propto Z^{y}, y = ? & s .1 \end{matrix}$

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