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Physics Part-II
Physics Part-II

Class 12

NCERT

1

Chapter 1: Ray Optics and Optical Instruments

41 questions

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2

Chapter 2: Wave Optics

30 questions

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3

Chapter 3: Dual Nature of Radiation and Matter

44 questions

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4

Chapter 4: Atoms

23 questions

5

Chapter 5: Nuclei

38 questions

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6

Chapter 6: Semiconductor Electronics: Materials, Devices and Simple Circuits

25 questions

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Question
Hard
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Solving time: 5 mins

12.14.
Classically, an electron can be in any orbit around the nucleus of an atom. Then what deteres the typical atomic size? Why is an atom not, say, thousand times bigger than its typical size? The question had greatly puzzled Bohr before he arrived at his famous model of the atom that you have learnt in the text. To simulate what he might well have done before his discovery, let us play as follows with the basic constants of nature and see if we can get a quantity with the dimensions of length that is roughly equal to the known size of an atom .
(a) Construct a quantity with the dimensions of length from the fundamental constants . Detere its numerical value.

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Text SolutionText solutionverified iconVerified

According to Coulomb's law, the force between hydrogen nucleus and electron is giben as:


Now, using the fundamental constants and , we will obtain a quantity which has the dimensions of length.

We know that   (force x distance) is the amount work or energy  and it is also given as

.

It is comparatively smaller than the size of the atom.
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Question Text
12.14.
Classically, an electron can be in any orbit around the nucleus of an atom. Then what deteres the typical atomic size? Why is an atom not, say, thousand times bigger than its typical size? The question had greatly puzzled Bohr before he arrived at his famous model of the atom that you have learnt in the text. To simulate what he might well have done before his discovery, let us play as follows with the basic constants of nature and see if we can get a quantity with the dimensions of length that is roughly equal to the known size of an atom .
(a) Construct a quantity with the dimensions of length from the fundamental constants . Detere its numerical value.
Updated OnApr 12, 2022
TopicAtoms
SubjectPhysics
ClassClass 12
Answer TypeText solution:1 Video solution: 2
Upvotes294
Avg. Video Duration13 min