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Characteristics of Bohr's Atomic Model

The angular s...

Question

The angular speed $(ω)$ of an electron revolving in $n^{t h}$ Bohr orbit and corresponding principal quantum number(n) are related as ____________.

ω \propto n^{3}

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ω \propto \frac{1}{n^{3}}

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ω \propto n^{2}

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ω \propto \frac{1}{n^{2}}

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Solution

The correct option is D $ω \propto \frac{1}{n^{3}}$
Bohr's Model gives the following conclusions,
$v \propto \frac{1}{n}$
$\Rightarrow r \propto n^{2}$
$\Rightarrow ω \propto \frac{v}{r} \propto \frac{1}{n^{3}}$

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Similar questions

ω \neq 1, a n d ω

^{t h}

ω + 9 ω^{2} + 16 ω^{3} + \dots \dots \dots . . + n^{2} ω^{n - 1} i s :

v

r

ω

ω = \frac{v}{r}

(a + ω)^{- 1} + (b + ω)^{- 1} + (c + ω)^{- 1} + (d + ω)^{- 1} = 2 ω^{- 1}, (a + ω)^{- 1} + (b + ω)^{- 1} + (c + ω)^{- 1} + (d + ω)^{- 1} = 2 (ω^{'})^{- 1}

ω

ω^{'}

(a + ω)^{- 1} + (b + ω)^{- 1} + (c + ω)^{- 1} + (d + ω)^{- 1} = 2

(a + ω)^{- 1} + (a + ω)^{- 1} + (c + ω)^{- 1} + (d + ω)^{- 1} = 2 ω^{- 1}

(a + ω^{'})^{- 1} + (b + ω^{'})^{- 1} + (c + ω^{'})^{- 1} + (d + ω^{'})^{- 1} = 2 (ω^{'})^{- 1}

ω

ω^{'}

(a + 1)^{- 1} + (b + 1)^{- 1} + (c + 1)^{- 1} + (d + 1)^{- 1}

α = k ω^{2}

{rad/s}^{2}

ω

k = 1 {rad}^{- 1}

θ_{0} = 0 rad

ω_{0} = 120 rad/s

θ

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