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JEE Main 20241 FebruaryMorning Shift
Exam
JEE Main
Year
2024
Date
1 February
Shift
Morning Shift
Subject
Chemistry
Chapter
Structure of Atom

JEE Main 2024 · 1 February · Morning Shift · Chemistry · Structure of Atom

According to the wave-particle duality of matter by de-Broglie,...

According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron (λ)\left(\lambda\right) and momentum of electron \left(p\right) ?According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents mostAccording to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents mostAccording to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents mostAccording to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents mostAccording to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most

Options

  1. AThe correct increasing order of C-H(A), C-O(B), C=O(C) and C N(D) bonds in terms of covalent bond length is:
  2. BThe correct increasing order of C-H(A), C-O(B), C=O(C) and C N(D) bonds in terms of covalent bond length is:
  3. CThe correct increasing order of C-H(A), C-O(B), C=O(C) and C N(D) bonds in terms of covalent bond length is:
  4. DThe correct increasing order of C-H(A), C-O(B), C=O(C) and C N(D) bonds in terms of covalent bond length is:

Correct answer

A. The correct increasing order of C-H(A), C-O(B), C=O(C) and C N(D) bonds in terms of covalent bond length is:

Step-by-step solution

According to the de-Broglie hypothesis according to which all matters have both particle and wave nature. where h=h = plank's constant, p=p =momentum, λ=\lambda = wavelength of particle. This type of graph is called a rectangular hyperbola. As λ∝1p\lambda ∝ \dfrac{1}{p} we will have a rectangular hyperbola.

λ=hp[λ∝1p]\lambda = \dfrac{h}{p}\left[\lambda ∝ \dfrac{1}{p}\right]

⇒\lambdap=h⇒ \lambdap = h (constant)

So, the plot is a rectangular hyperbola.

According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most

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