Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 55

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Consider a hypothetical system in which a particle of mass $m,$ charge $(- 2 q)$ is moving around a massive and stationary particle of charge $q,$ in a circular orbit. Assume Bohr's model to be valid for the system. The orbital speed in closed orbit has largest value equal to $\frac{q^{2}}{n ε_{0} h} .$ Value of $n,$ is

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Important Questions on Atoms

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 56

de Broglie wavelength of an electron revolving in second orbit of hydrogen atom is

n π a_{0} .

Value of

n,

is (

a_{0}

is Bohr radius)

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 57

A hydrogen like atom of atomic number

Z

is in an excited state of quantum number

2 n .

It can emit a photon of maximum energy of

204 eV .

If it makes a transition to quantum state

n,

a photon of energy

40.8 eV

is emitted. The atomic number

Z

is

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 58

The ratio of frequencies of shortest wavelengths of Balmer and Lyman series of hydrogen atom is

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 59

When an electron jumps from a level

n = 4

to

n = 1

in a hydrogen atom, the momentum of the recoiled hydrogen atom will be

6.8 \times 10^{- N} kg m s^{- 1} .

Value of

N,

is _____ .

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 60

In the hydrogen atom

H_{α}

line arises due to transition of electron from

3^{rd}

orbit to

2^{nd}

orbit. In the spectrum of singly ionised helium there is a line having almost the same wavelength as that of line. This is due to transition of electron between the orbits

n_{1}

to

n_{2} .

Value of

(n_{1} \times n_{2}),

is _____

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment>Q 1

What would be the ratio of product of speed and time period of electron orbiting

3^{rd}

and

4^{th}

stable orbit in Bohr's atomic model?

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment>Q 2

Suppose the potential energy between electron and proton at a distance

r

is given by

- \frac{K e^{2}}{3 r^{3}} .

As per Bohr's quantization rule, the speed of electron in

n^{th}

orbit of

H

-atom is

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment>Q 3

A particle of mass

M

moves in a circular orbit in such a way that the potential energy is

U = a r^{2},

where

a

is a constant and $r$ is the distance of particle from the origin. Assuming the Bohr's quantization rule to be valid, find the radius of

n^{th}

allowed orbit?