A moving electron has kinetic energy equal to 5 × 10 - 25 J . Derive its de-Broglie's wavelength.

The de-Broglie wavelength λ of a moving electron: λ = h 2 m e KE . . . 1 h = 6 . 626 × 10 - 34 J s m e = 9 . 1 × 10 - 31 Kg K . E . = 5 × 10 - 25 J Put these values in the equation ( 1 ) λ = 6 . 626 × 10 - 34 ( 2 × 9 . 1 × 10 - 31 × 5 × 10 - 25 ) λ = 6 . 626 × 10 - 34 91 × 10 - 56 λ = 6 . 626 × 10 - 34 9 . 54 × 10 - 28 λ = 66 . 26 × 10 - 7 9 . 54 λ = 6 . 94 × 10 - 7 m

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A hydrogen-like atom has ground state binding energy $122.4 eV$ . Then:

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Important Questions on Atomic Structure

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 3 - Atomic Structure>DPP 3.3>Q 1

What is the ratio of the velocities of

{CH}_{4}

and

O_{2}

molecules so that they are associated with de-Broglie waves of equal wavelength?

(C = 12 u, H = 1 u, O = 16 u)

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 3 - Atomic Structure>DPP 3.3>Q 2

A golf ball has a mass of

40 g

and a speed of

45 {ms}^{- 1} .

If the speed can be measured with an accuracy of

2 %,

calculate the uncertainty in the position.

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 3 - Atomic Structure>DPP 3.3>Q 3

If the uncertainty in the position of a moving electron is equal to its de-Broglie wavelength, then the minimum percentage error in measurement of velocity will be approximately

8 % .

Explain.

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 3 - Atomic Structure>DPP 3.3>Q 4

An electron, which is practically at rest, is initially accelerated through a potential difference of

100

volts. It then has a de Broglie wavelength

= λ_{1} Å .

It then gets retarded through

19

volts and then has a wavelength

λ_{2} Å .

Further retardation through

32

volts changes the wavelength to

λ_{3} Å .

What is

\frac{λ_{3} - λ_{2}}{λ_{1}} ?

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 3 - Atomic Structure>DPP 3.3>Q 5

A photon of

19.6 eV

energy strikes a

H

atom (in its ground state). Find the de Broglie wavelength of the electron ejected from the

H

atom (in

Å

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 3 - Atomic Structure>DPP 3.3>Q 6

A moving electron has kinetic energy equal to

5 \times 10^{- 25} J .

Derive its de-Broglie's wavelength.

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 3 - Atomic Structure>DPP 3.3>Q 7

Two particles of masses

m

and

2 m

have equal kinetic energies. Their de-Broglie wavelengths are in the ratio of:

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 3 - Atomic Structure>DPP 3.3>Q 8

The de Broglie wavelength of a neutron at

927 ° C

λ .

What will be its wavelength at

27 ° C ?

A hydrogen-like atom has ground state binding energy 122.4 eV. Then:

Important Questions on Atomic Structure

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A hydrogen-like atom has ground state binding energy $122.4 eV$ . Then: