GATE (Graduate Aptitude Test in Engineering) Chemistry: Questions 1 of 29

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» Physical Chemistry » Structure » Postulates of Quantum Mechanics

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Question

The linear momentum of a particle described by the wave function exp (-ikx) is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Topic iScore

Ques. Time

Answer

a.

Explanation

  • Given that wave function Equation

  • And linear momentum operator is given by Equation

    Equation linear momentum Equation

  • Solving, Equation = Equation (h/2i∏) { Equation exp (-ikx) }

    = (h/2i∏) Equation (-ik) exp (-ikx)

    = (-ikh/2i∏) Equation

    =-kh/2∏

    Since Equation

  • Hence linear momentum Equation

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